PATH INTEGRAL ANALYSIS OF HARMONIC-OSCILLATORS WITH TIME-DEPENDENT MASS

被引：8

作者：

SABIR, M

RAJAGOPALAN, S

机构：

[1] Department of Physics, Cochin University of Science and Technology, Cochin

来源：

PRAMANA-JOURNAL OF PHYSICS | 1991年 / 37卷 / 03期

关键词：

EXACT PROPAGATORS; TIME DEPENDENT MASS; SCHRODINGER EQUATION; TIME-DEPENDENT INVARIANTS;

D O I：

10.1007/BF02847479

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two cases of forced harmonic oscillators with time dependent mass for which exact propagators can be evaluated are presented. From the exact propagators, normalized solutions of the corresponding Schrodinger equations are arrived at. Time-dependent invariants are also found.

引用

页码：253 / 260

页数：8

共 50 条

[21] The Feynman integral for time-dependent anharmonic oscillators
Grothaus, M
Khandekar, DC
daSilva, JL
Streit, L
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1997, 38 (06) : 3278 - 3299
[22] Floquet states of periodically time-dependent harmonic oscillators
Achkar, Y.
Sayouri, S.
Marrakchi, A. L.
[J]. RECENT DEVELOPMENTS IN NONLINEAR ANALYSIS, 2010, : 290 - 326
[23] Transition amplitudes for time-dependent linear harmonic oscillators
Rashid, MA
Mahmood, A
[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (39): : 8185 - 8192
[24] Path integral approach to the general driven time-dependent harmonic oscillator and squeezed state
Xu, JB
Zhang, XS
Li, SB
[J]. PHYSICA SCRIPTA, 1997, 56 (03) : 225 - 229
[25] Phase space path integral approach to harmonic oscillator with a time-dependent force constant
Janakiraman, Deepika
Sebastian, K. L.
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 433 : 198 - 203
[26] ON STABILITY FOR TIME-PERIODIC PERTURBATIONS OF HARMONIC-OSCILLATORS
HUANG, MJ
[J]. ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1989, 50 (03): : 229 - 238
[27] Temporal evolution of instantaneous phonons in time-dependent harmonic oscillators
Yang, Zhenshan
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2015, 56 (03)
[28] Time-dependent coupled harmonic oscillators: Classical and quantum solutions
Macedo, D. X.
Guedes, I.
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS E-NUCLEAR PHYSICS, 2014, 23 (09)
[29] THE PROPAGATOR FOR A TIME-DEPENDENT MASS SUBJECT TO A HARMONIC POTENTIAL WITH A TIME-DEPENDENT FREQUENCY
DESOUZA, CF
DUTRA, AD
[J]. PHYSICS LETTERS A, 1987, 123 (06) : 297 - 301
[30] Time-dependent coupled harmonic oscillators: Classical and quantum solutions
Ramos-Prieto, I
Recamier, J.
Moya-Cessa, H. M.
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS E, 2020, 29 (05):

← 1 2 3 4 5 →