Journal of the Physical Society of Japan
Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015
Quantum Statistical Approach to Debye-Waller Factors in EXAFS, EELS and ARXPS. VI. Path-Integral Approach to Morse Potential Systems
Takafumi MiyanagaTakashi Fujikawa
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1998 年 67 巻 8 号 p. 2930-2937

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In this paper thermal effects in X-ray Photoelectron Diffraction (XPD) and EXAFS due to atomic vibration in Morse potential are studied by use of the Feynman's path integral approach. This approach can be applied to strongly anharmonic systems where the cumulant analyses break. It is closely related to the well-known classical approach which is only valid at high temperature. The phase of the thermal factor plays an important role both in XPD and EXAFS analyses for the asymmetric Morse potential. At high temperature each cumulant integral diverges whereas the classical approximation is satisfactory both for the phase and the thermal damping. On the other hand, at low temperature cumulants expansion converges because of the quantum fluctuation. For the description of the phase up to the third, and for that of the thermal damping up to the fourth cumulant should be taken into account. In this case the classical approximation is quite poor for the description of the two factors. For the quantum calculation with the weak quantum effect the tunneling does not contribute to the peak shift in the probability density P(q) but to the broadening.
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© The Physical Society of Japan 1998
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