Time‐dependent dynamical symmetries and constants of motion. III. Time‐dependent harmonic oscillator

Gerald H. Katzin; Jack Levine

doi:10.1063/1.523401

Time‐dependent dynamical symmetries and constants of motion. III. Time‐dependent harmonic oscillator

Journal of Mathematical Physics ◽

10.1063/1.523401 ◽

1977 ◽

Vol 18 (6) ◽

pp. 1267-1274 ◽

Cited By ~ 19

Author(s):

Gerald H. Katzin ◽

Jack Levine

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Dynamical Symmetries ◽

Constants Of Motion

Download Full-text

Vector Constants of Motion for Time-Dependent Kepler and Isotropic Harmonic Oscillator Potentials

Brazilian Journal of Physics ◽

10.1590/s0103-97332001000200024 ◽

2001 ◽

Vol 31 (2) ◽

pp. 304-307 ◽

Cited By ~ 1

Author(s):

O.M. Ritter ◽

F.C. Santos ◽

A. C. Tort

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Isotropic Harmonic Oscillator ◽

Constants Of Motion

Download Full-text

Time−dependent dynamical symmetries, associated constants of motion, and symmetry deformations of the Hamiltonian in classical particle systems

Journal of Mathematical Physics ◽

10.1063/1.522553 ◽

1975 ◽

Vol 16 (3) ◽

pp. 548-555 ◽

Cited By ~ 10

Author(s):

Gerald H. Katzin ◽

Jack Levine

Keyword(s):

Particle Systems ◽

Time Dependent ◽

Classical Particle ◽

Dynamical Symmetries ◽

Constants Of Motion

Download Full-text

Unitary declension of dynamical symmetries for the time‐dependent harmonic oscillator

Journal of Mathematical Physics ◽

10.1063/1.524214 ◽

1979 ◽

Vol 20 (7) ◽

pp. 1539-1544 ◽

Cited By ~ 2

Author(s):

Neil J. Günther

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Dynamical Symmetries

Download Full-text

Constants of motion and non-stationary wave functions for the damped, time-dependent harmonic oscillator

Physica A Statistical Mechanics and its Applications ◽

10.1016/0378-4371(80)90206-x ◽

1980 ◽

Vol 103 (1-2) ◽

pp. 35-54 ◽

Cited By ~ 21

Author(s):

B. Remaud ◽

E.S. Hernandez

Keyword(s):

Harmonic Oscillator ◽

Stationary Wave ◽

Wave Functions ◽

Time Dependent ◽

Constants Of Motion

Download Full-text

Dynamical symmetries of the time-dependent Lewis-Riesenfeld harmonic oscillator

Group Theoretical Methods in Physics - Lecture Notes in Physics ◽

10.1007/3-540-09238-2_22 ◽

2008 ◽

pp. 75-76

Author(s):

Neil J. Gunther

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Dynamical Symmetries

Download Full-text

QUANTUM MECHANICAL SOLUTION OF A DAMPED HARMONIC OSCILLATOR WITH TIME-DEPENDENT PARAMETERS

Acta Mathematica Scientia ◽

10.1016/s0252-9602(18)30554-x ◽

1985 ◽

Vol 5 (3) ◽

pp. 319-325

Author(s):

Honghua Xu

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Quantum Mechanical ◽

Damped Harmonic Oscillator ◽

Quantum Mechanical Solution

Download Full-text

Two-dimensional isotropic harmonic oscillator on a time-dependent sphere

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/45/46/465301 ◽

2012 ◽

Vol 45 (46) ◽

pp. 465301 ◽

Cited By ~ 3

Author(s):

Ali Mahdifar ◽

Behrouz Mirza ◽

Rasoul Roknizadeh

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Two Dimensional ◽

Isotropic Harmonic Oscillator

Download Full-text

On the Quantization Problem of a Driven Harmonic Oscillator with Time Dependent Mass and Frequency

Modern Physics Letters B ◽

10.1142/s0217984903006049 ◽

2003 ◽

Vol 17 (18) ◽

pp. 983-990 ◽

Cited By ~ 4

Author(s):

Swapan Mandal

Keyword(s):

Harmonic Oscillator ◽

Time Dependent ◽

Present Solution ◽

Quadratic Hamiltonian ◽

Dependent Mass ◽

Quantization Problem

The quantization of a driven harmonic oscillator with time dependent mass and frequency (DHTDMF) is considered. We observe that the driven term has no influence on the quantization of the oscillator. It is found that the DHTDMF corresponds the general quadratic Hamiltonian. The present solution is critically compared with existing solutions of DHTDMF.

Download Full-text