Exactly Soluble Harmonic Oscillator for a Particular Form of Time and Coordinates-Dependent Mass

A. Jannussis; G. Karayannis; P. Panagopoulos; V. Papatheou; M. Symeonidis; D. Vavougios; P. Siafarikas; V. Zisis

doi:10.1143/JPSJ.53.957

Journal of the Physical Society of Japan

Online ISSN : 1347-4073
Print ISSN : 0031-9015
ISSN-L : 0031-9015

Exactly Soluble Harmonic Oscillator for a Particular Form of Time and Coordinates-Dependent Mass

A. Jannussis, G. Karayannis, P. Panagopoulos, V. Papatheou, M. Symeonidis, D. Vavougios, P. Siafarikas, V. Zisis

著者情報

ジャーナル認証あり

1984 年 53 巻 3 号 p. 957-962

DOI https://doi.org/10.1143/JPSJ.53.957

詳細

抄録

An exact solution of Schrödinger equation is presented for the problem of a harmonic oscillator of mass varying with time and coordinates according to
m(q, t)=m₀⁄e^−νt−k₀²q².
This case, compared with known types of equivalent interactions, leads again to a new one that relates the damped harmonic oscillator with velocity-depentent interaction problem.