Proceedings of the Physico-Mathematical Society of Japan. 3rd Series
Online ISSN : 2185-2707
Print ISSN : 0370-1239
ISSN-L : 0370-1239
Volume 24
Displaying 51-91 of 91 articles from this issue
  • Tosio ABE
    1942 Volume 24 Pages 455-498
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    Part I. The Specitic heat the Glasses Melted in Open Air.
    1. 18 glasses in SiO2•Na2O-CaO system, 15 glasses in SiO2-K2O-CaO system, 18 glasses in SiO2-Na2O-K2O system, 23 glasses in SiO2-K2O-PbO system, 34 glasses in B2O3-Na2O-SiO2 system and 11 SiO2-Na2O-CaO glasses containing MgO, ZnO, PbO, B2O3 or Al2O3, respectively, were melted in open air using platiunm or sintered alumina crucibles as the container.
    2. The study has been extended to the extreme composition limits t which the tendency to crystallize makes impossible the preparation f glass even by laboratory methods.
    3. By the method of mixture, the mean specific heat between bout 20° and 100°C was determined for these glasses.
    4. By chemical analysis, it was confirmed for some glasses melted _??_ sintered alumina crucibles that the material dissolved out of the crucible was negligibly small.
    5. The “molecular heat of glass” obtained from the batch composition and the specific heat of the glass was found to change linearly roportionally with the composition represented in mole percent. except or B2O3-Na2O-SiO2 system. Therefore, the molecular beat of a glass _??_ay be reposented as the sum of the apparent molecular heats of its _??_t oxides, which were determined as follows: CaO 10•35, SiO2 _??_. PbO 11•45, Na2O 16•25, K2O 18•55. Namely, one and the same _??_stimeat oxide has always the same apparent molecular heat _??_ronghout all systems studied, except for B2O3-Na2O-SiO2 system.
    6. It was also found that the values for CaO, SiO2 and PbO were _??_ or nearly equal to the values of the separate oxides before combination. Assuming, from the picture of the atomic arrangement in lass, that this holds true for the oxides of the type RO or those confining more oxygen than RO, the apparent molecular heats of MgO, _??_O and Al2O3 were also determined from a few measurements as MgO _??_. ZnO 9•9_??_and Al2O3 20•2.
    7. In B2O3-Na2O-SiO2 system, the iso-curves of the molecular _??_at of glass are not parallel straight lines as in the above eases, and _??_apparent molecular heats of the constituent oxides should be taken _??_ follows: SiO2 11•05, Na2O 16•25 (these values are the same as in the above cases), B2O3 15•05 when Na2O≥20 mole percent, 15•30 when _??_2O-10 mole percent and 15•5_??_ when Na2O _??_0. The change of the _??_ for B2O3 with the Na2O content is thought to be caused by the striation of the coordination number of B atom with the increase of a O content as much as about 18 mole percent.
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  • R. SAGANE, S. KOJIMA, G. MIYAMOTO, M. IKAWA
    1942 Volume 24 Pages 499-509
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    The results of the further study on the radioactive molybdenum isotopes and their daughter isotopes are given as follows.
    estimation K-U
    Mo101 19min. ±2 e- 1.6MeV 1.78MeV γ (n, γ)
    Ma101 9min. ±1 e- 1.05 1.14 no Mo101 β- decay
    Mo29 64hr. ±2 e- 1.3 1.44 no (n, γ) (n, 2n) (d, p)
    Ma29 6hr. ±1 e- Soft - - Mo99 β- decay
    Mo91 17min. ±1 e- 2.4 2.65 (n, 2n) (γ, n)
    Cb91 10da. ±1 Soft - Mo91 β+ decay
    The assignments of the mass numbers for the produced isotopes are also discussed
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  • Yasuo MAKITA
    1942 Volume 24 Pages 510-517
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    An empirical formula, indicates the relation between the shift of the minimum audible threshold of one pure tone in the presence of another pure tone and the ratio of their frequencies, was obtained from the experimental results of Wegel and Lane*. Assuming that this empirical formula may give the distribution of stimuli cause by the latter pure tone on the basilar membrane, a relation between differential pitch sensitivity and differential intensity sensitivity was derived. The validity of the relation was criticized by comparing it with the experimental data obtained by R. R. Riesz, E. G. Shower and R. Biddulph
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  • Toshihiko OKAMURA, Siro OGAWA
    1942 Volume 24 Pages 518-532
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    Wir konnten unter Anwendung eines Drahts aus einer Legierung Fe30-Ni45-Co25 mit einem Durchmesser von 0.2mm feststellen, daß die Wandverschiebung in einem “idealen Einkristall” mit einer Geschwindigkeit fortschreitet, die aufaugs von einer bestimmten Große ist, aber sich allmählich verlangsamt und endlich gleichmäßig wird, wobei die, Größe sich nach dem Hauptfelde bestimmen läßt. Aus dieser Geschwindigkeitsverminderung läßt sich vermuten, daß die Wand mit einer Trägheit begabt ist, deren Größe etwa 10-6g für einen Einheitspol ist.
    Von großem Interesse ist der Zusammenhang zwischen der anfänglichen, großen Geschwindigkeit der Wandverschiebung und dem Anwachsen des Ummagnetisierungskeimes, der in Zukunft eingehend untersucht werden soll.
    In weiterer Erwägung der oben bekommenen Differentialgleichung konnen wir folgenden Tatsache erwarten, daß die Geschwindigkeit des Fortschreitens der Bloch-Wand am Anfang vermindert oder vermehrt wird, d.h. es gibt zwei Fälle, v0>V oder v0<V. Ob jenes oder dieses in Wirklichkein geschieht, hängt vielleicht von der Weise des Anwachsens des Keimes und seiner Größe und Form in Endzustand ab.
    Wir haben dasselbe Experiment mit der Eisen-Nickel-Legierung mit 65% Nickel versucht, die durch die Magnetfeldbehandlung eine ganz steile rechteckige Hysteresisschleife haben lassen wurde wie bei Permalloy unter Zug, und als die Mittelgeschwindigkeit der Bloch-Wand etwa 1m pro Sek. bekommen(5).
    Wir konnten ferner feststellen, daß die Form der Wellenfläche im Zustand bestimmter Geschwindigkeit eine sehr einfache ist. Es kann auch gedacht werden daß sie mit dem Durchmesser des Drahts und seiner Temperatru eng verbunden ist.
    Auf Grund vorliegender Untersuchungsergebniße sind wir vielleicht im Stande, die komplexen Barkhausen Figuren beim Einkristall zu analysieren.
    Zum Schluße möchten wir Herrn Prof. Dr. Kôtarô Honda und Prof. Dr. Junzo Okubo für ihre Ratschläge bei dieser Arbeit, Herrn Dr. Tokutaro Hirone und Herrn Syôhei Miyahara für ihre wertvollen Diskussionen unseren herzlichsten Dank aussjprechen
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  • Hirosi HAYASI
    1942 Volume 24 Pages 533-548
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    We have calculated the deformation of the earth's surface when a disturbance travels on it with a uniform velocity under conditions that the disturbance exerts only pressure which is uniformly distributed over a circular domain of the surface and its speed is less than that of Rayleigh wave. The deformation is symmetric in back and forth of the disturbance and it is shown that the obtained result agrees with those which were obtained already inspecial cases
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  • Zyunpei YAMAZAKI, Soei UMA
    1942 Volume 24 Pages 549
    Published: 1942
    Released on J-STAGE: June 09, 2009
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  • Mitio NAGUMO
    1942 Volume 24 Pages 551-559
    Published: 1942
    Released on J-STAGE: June 09, 2009
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  • Tokutaro HIRONE, Syohei MIYAHARA
    1942 Volume 24 Pages 560-568
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    A discussion on the ferromagnetism of the semi-conductor possessing various electronic structures is made on the basis of the Wilson model of semi-conductor as well as Bloch's theory of ferromagnetism. It is found that the conditions for the appearence of the ferromagnetism by various semi-condetors is remarkably affected by their types of electronic structure
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  • Motoharu KIMURA
    1942 Volume 24 Pages 569-583
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    (1) The scattering, and absorption cross sections were separately measured for C, Fe, Ni, Pb, Zn, Al, Hg, Cl, Co, and Mn with various resonance neutrons by the method of back scattering. The investigated resonance neutrons are as follows: “thermal” (In 54'), “D1” (Rh 44''), “D2” (In 54'), “A” (Ag 23''), “Mn” (Mn 150'), “Br” (Br 18'), “I1” (I 25'), and “I2” (I 25', with 0.32g/cm2 iodine filter). Absolute determinations of the scattering cross sections were performed only for carton scatterer, and for the other elements they were measured relative to it. The scattering cross-sections of carbon were found to bd independent of the neutron energy ranging from thermal to eV in the order of hundreds, though a tendency to decrease slightly with the increase of neutron energy may be seen. The results are summarized in Fig. III. It can be said that: (I) the scattering cross-section of the so-called good scatterers such as Ni and Fe is independent of neutron energy with a tendency toward a slight decrease with higher neutron energy, (II) for Hg, Cl, Co, Zn, and Mn the scattering shows sharp changes with some parallelism to absorption excluding, the 1/v factor in the region of thermal energies.
    (2) The scattering cross-section of Hg were calculated according to the dispersion formulae based on the theory of compound nucleus. The ΓN and Γ of Hg were assumed to be equal to those of Cd. The suggestions of Bethe on the existense of a resonance level at a negative energy was confirmed. The scattering shows best agreement with the experimental results if we assume the position of the level to be at -0•8eV. For the other scatterers, it is difficult to explain the behavior of scattering cross sections without resorting to very artificial assumptions for the resonance levels
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  • A. AMEMIYA, T. ISIDU, S. SUEOKA
    1942 Volume 24 Pages 584-599
    Published: 1942
    Released on J-STAGE: June 09, 2009
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  • Isao OSIDA
    1942 Volume 24 Pages 599-601
    Published: 1942
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  • Shuzi MARUYAMA
    1942 Volume 24 Pages 602-609
    Published: 1942
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  • Yasutaka TANIKAWA
    1942 Volume 24 Pages 610-612
    Published: 1942
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  • 2. Mitteilung. Beugung von Licht an Ultraschallwellen bei schiefem Einfall des Lichtes auf die Schallwellenfront. Braggsche Reflexion
    Otohiko NOMOTO
    1942 Volume 24 Pages 613-639
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    Es wurden einige Versuche über die Beugung von Licht an fortschreitenden Ultraschallwellen bei schiefem Einfall des Lichtes auf die Schallwellenfront ausgeführt mit den Ultraschallfrequenzen von 3•22 und 4•71MHz in einer Flüssigkeit (Transformatoröl) mit der Ultraschallgeschwindigkeit von ca. 1500m/sec und unter den Schallfeldtiefen (Längten der Lichtwege im Schallfelde) von 60mm. Die Beugungsspektren wurden aufgenommen unter verschiedenen Einfallswinkeln und die Intensitatsverteilungen des gebeugten Lichtes uber die Ordnungen wurden in einer photographisch-photometrischen Weise gemessen. Daraus wurde die Intensität der Beugungsspektren als Funktion des Einfallswinkels gewonnen. Die Beugungsspektren zeigten sehr ausgepragte Intensitätsmaxima bei den Braggschen Einfallswinkeln φBn=-nλ/Λ, (n=0, ±1, ±2, ±3……), wo n die Beugungsordnung, λ die Lichtwellenlänge und A die Schallwellenlange bedeutet. Die Braggsche Reflexion bei einer Ultraschallfrequenz unterhalb 10MHz in Flussigkeitten (od. was dasselbe ist, 3MHz in Gasen) ist wohl nicht bisher beobachtet worden und die Braggschen Reflexionen zweiter und höherer Ordnungen sind bisher nicht bekannt; bisher wurde die Braggsche Reflexion nur bei den beiden ersten Ordnungen und zwar im Frequenzbereich oberhalb 10MHz beobachtet. Dagegen ist die hier beobachtete Braggsche Reflexion so ausgepragt und erreicht immer bis zu der hochsten beobachteten Beugungsordnung wie z.B. der 21. Ordnung bei einem Versuche mit der Ultraschallfrequenz 3•22MHz, so das wenigstens im Frequenzbereich von 3 bis 5MHz grade diese Braggsche Reflexion als das wichtigste. Kennzeichen fur die Intensitats verteilung der bei der Beugung. an Ultraschallwellen bei schiefem Einfall erzeugten Beugungsspektren angesehen werden kann. Auser diesem scharfen Braggschen Maximum treten noch zwtei grosen, aber nicht scharfen Nebenmaxima etwa bei den Einfallswinkteln φnBn±Λ/L auf, wo φBn den Braggschen Winkel n-ter Ordnung (|n|_??_3) und L die Schallfeldtiefe bedeutet. Fur 0-ter und 1-ter Ordnungen sind die Nebenmaxima komplizierter und zahlreicher.
    Das Maximum der Gesamtzahl der Beugungsspektren findet nicht bei senkrechtem Einfall statt, sondern es gibt zwei Hauptmaxima auf beiden Seiten des senkrechten Einfalls, so das der senkrechte Einfall nicht dem Maximum, sondern dem Minimum der Beugungserscheinung entspricht; dies steht mit meinem fruheren Resultate in Ubereinstimmung. Dasselbe gilt auch fur the Winkelabhangigkeit der Gesamtintensitat des gebeugten Lichtes. Die senkrechte Inzidenz entspricht nicht dem Maximum, sondern dem Minimum der Gesamtintensitat des gebeugten Lichtes.
    Leider ist keine der bisherigen Theorien mit diesem Resultate unmittelbar vergleichbar, denn der mathsmatischen Schwierigkeit halber hat keine Theorie die Lichtbeugung an Ultraschallwellen bei schiefem Einfall und bei nicht allzu schwacher Ultraschallintensitat vollstandig behandelt. Extrapoliert man aber die Resultate der Davidschen Theorie, die die Braggschen Reflexionen erster und zweiter Beugungsordnungen berechnet hat, order die der Rytowschen Theorie, die die Braggsche Reflexion erster Ordnung berechnet hat, auf hohere Beugungsordnungen, so sind unsere Resultate auf Grund dieser Theorien leicht erklarlich. Namlich sind die Einfallswinkel fur Haupt-und Nebenmaxima der Lichtintensitat der Beugungsspektren sofort aus der Extrapolation dieser Theorien erhaltlich. Zur Erhaltung von Lichtintensitat selbst ist aber eine vollstandigere Theorie erforderlich
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  • Tunezo SATO
    1942 Volume 24 Pages 640-656
    Published: 1942
    Released on J-STAGE: June 09, 2009
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  • Syoten OKA
    1942 Volume 24 Pages 657-672
    Published: 1942
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  • Zyuro SAKADI
    1942 Volume 24 Pages 673-675
    Published: 1942
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  • G. MIYAMOTO
    1942 Volume 24 Pages 676-677
    Published: 1942
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  • G. MIYAMOTO
    1942 Volume 24 Pages 678-679
    Published: 1942
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  • Shoji NISHIKAWA, Ryokichi SAGANU, Hiroo AOKI, Yoshihiro ASANO, Shoji K ...
    1942 Volume 24 Pages 679-680
    Published: 1942
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  • Kiyonori KUNISAWA
    1942 Volume 24 Pages 681-695
    Published: 1942
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  • Ziro HASIMOTO
    1942 Volume 24 Pages 696-709
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    §7. In the present paper, the two-dimensional subsonic irrotational flow of a compressible fluid past an elliptic cylinder has b en reinvestigated by applying the new method of successive approximation which has been proposed recently by IMAI and both the stream function and the velocity potential for the flow have been obtained simultaneously correct to the order of M2, where M denotes the MACH number formed with the undisturbed velocity U and the speed of sound associated with the undisturbed flow. Tin results obtained have been compared with those obtained previonsly by IMAI and AIHARA and by TOMOTIKA and TAMADA, and a complete agreement has been found between them. It has thus been found that IMAI'S new method of successive approximations is useful for dealing with the flow of a compressible fluid past a cylindrical body and that the analysis becomes much simpler when the boundary conditions for the stream function are employed
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  • Xiro HASIMOTO
    1942 Volume 24 Pages 710-714
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    §.5. In the present short note, the writer gives the results of an alternative treatment by the use of the elliptic coordinates for the problem of calculating the velocity potential and the stream function for the two-dimensional subsonic irrotational flow of a compressible fluid past an elliptic cylinder with no cirenlation round it. To do this, we have used, as in our preceding paper, IMAI'S new method of successives approximations for dealing with the two-dimensional compressible fluid flow past a cylindrical obstacle. The results have been compared wish those of IMAI and AIHARA and complete agreement between them has been found. It has thus been fount that, as mentioned already in the preceding paper, IMAI'S new method is very powerful and convenient for dealing with the subsonic compressible fluid flow in two dimensions. As pointed out by IMAI himself, the method is also applicable to the compressible fluid flow in a two-dimensional multiply-connected region: for example, the compressible fluid flow past a cylinder placed in a channel may be treated conveniently by the new method. Various discussious on such problems are now in progress in our Aerodynamics Research Institute
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  • Zyuro SAKADI
    1942 Volume 24 Pages 715-718
    Published: 1942
    Released on J-STAGE: June 09, 2009
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  • Zyuro SAKADI
    1942 Volume 24 Pages 719-722
    Published: 1942
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  • Takao SATO
    1942 Volume 24 Pages 723-761
    Published: 1942
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  • Hitosi HAGHIARA
    1942 Volume 24 Pages 762-768
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    The very thin layer produced on the cleavage face of galena (PbS) upon heating in air has been investigated by cathode-ray diffraction. It has been found that reproducible diffraction patterns are obtained when the temperature for the oxidation is about 200°C. The analysis of these patterns shows that the oxidised layer is composed only of lead sulphate (PbSO1) crystallites oriented on each cleavage face in the following two manners: Further, some discussions are given of the two dimensional arrangement of lead and sulphur atoms at the interface between the sulphate and the substrate in the above two orientations
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  • Makoto ABE
    1942 Volume 24 Pages 769-789
    Published: 1942
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  • Kaoru URANO, Ken-iti MUNAKATA
    1942 Volume 24 Pages 790-799
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    §7. In this paper, we have re-investigated the stability of a double row of vortices with arbitrary stagger, which, keeping its form indefinitely, moves as a whole obliquely to its own row. To do this, the method of summarising various infinite series has been employed, as in ROSENHEAD'S paper. We have adopted sine functions as well as cosine functions to represent a small disturbance and have obtained the differential equations for determining the rate of change of the vortices with the time. Solving these equations, we have arrived at the same conclusion as MAUE that there are many systems of double rows of vortices that are, stable and the KÁRMÁN vortex street is only a particular case of them. Thus, it has been found that ROSENHEAD'S conclusion that the only one of the systems of double rows of arbitrary stagger that is stable is the KÁRMÁN vortex street, in which the stability ratio is given by cosh2πh/l=2, is unfortunately erroneous
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  • Hirosi HAYASI
    1942 Volume 24 Pages 800-808
    Published: 1942
    Released on J-STAGE: June 09, 2009
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  • IV. Growth of Submicroscopic Silver Crystals on Rock-salt, Zincblende and Molybdenite
    Ryozi UYEDA
    1942 Volume 24 Pages 809-817
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    A new cathode-ray camera was constructed, in which the heating of the crystal and the vaporization of metal are carried out in the chamber where cathode-rays are diffracted, allowing the surface of the film formed by the deposition to be examined in situ during formation. The structure of silver films formd on cleavage faces of rock-salt, zincblende and molybdenite at high temperatures was investigated by this apparatus; especially the change in the structure during the formation of films was investigated in detail. The results of the experiment give some knowledge concerning the growth of submicroscopic silver crystals on the base surfaces
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  • S. Kikuchi, H. Akabori, K. Husimi, J. Itoh, M. Kobayasi, S. Kobayasi, ...
    1942 Volume 24 Pages 818-820
    Published: 1942
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    γ-ray spectra of 52V and 56Mn were investigated with high resolving magnetic spectrometer. γ-rays of 52V are monochromatic, the energy of which is 1.44±0.02mev. γ-rays of 56Mn are composed of three lines, the energies of which are 0.866±0.008mev, 1.83±0.02mev and 2.11±0.02 mev, with relative intensities 5.5, 1.5 and 1 respectively. The level scheme of 56Fe is deduced in connection with β-disintegration of 56Mn
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  • Zyunpei YAMASAKI
    1942 Volume 24 Pages 821-827
    Published: 1942
    Released on J-STAGE: June 09, 2009
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    The coordinates, introduced by Descartes to represent geometrical figures by algebraic equations, are complex quantities corresponding to the solutions of the algebraic equations; on the other hand we have used real coordinates in physics by reason that only the real ones have physical meaning. This reason is, however, nothing but an empirical one and has no ground in actual facts. The coordinates should be complex also in physics in accordance with their original significance when we can give them physical meaning. In the present paper we give physical meaning to the complex coordinates and remove the difficulties of the radiation theory by using them
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  • Takehiko ISIDU
    1942 Volume 24 Pages 828-842
    Published: 1942
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  • Shoichi SAKATA
    1942 Volume 24 Pages 843-844
    Published: 1942
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  • Mitio NAGUMO
    1942 Volume 24 Pages 845-851
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  • Rokuitiro MIYAKO
    1942 Volume 24 Pages 852-863
    Published: 1942
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  • Seiji KAYA, Tadami TAOKA, Takehiko IKI
    1942 Volume 24 Pages 864-874
    Published: 1942
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  • Hideo TAKAKI
    1942 Volume 24 Pages 875-898
    Published: 1942
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  • Ziro MIKURA
    1942 Volume 24 Pages 899-914
    Published: 1942
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    When we want to obtain a reasonable extension of Ohm's law applicable to the case of infinite conductivity, we must start from Boltzmann's equation of state for conduction electrons, because Ohm's law is originally derived from this equation. In the case of infinite conductivity, two of the terms representing the variations of the distribution function for electrons, one caused by the drift of electrons in space and the other caused by the acceleration due to the magnetic field-, must be retained in this equation, in contrast to the case of normal conductivity where the terms expressing the effects of the electric field and of the collisions with the lattice are considered to be large, compared with the other terms. Thus we get an equation which resembles the London equation in appearance and which may explain the Meissner effect if the distribution function has an anisotropy of a certain type in velocity space. It is suggested that this anisotropy may be caused by the non-ergodic character of an assembly of perfectly free electrons under the influence of a magnetic field. It is also shown that the disappearance of the Hall effect in a superconductor is not contradictory to its free-electron model
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  • Hirosi HAYASI
    1942 Volume 24 Pages 915-922
    Published: 1942
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