Squeezing caused by a change of mass in a harmonic oscillator

1989 ◽  
Vol 67 (2-3) ◽  
pp. 152-154 ◽  
Author(s):  
Fan Hong-Yi ◽  
H. R. Zaidi
Keyword(s):  
Harmonic Oscillator ◽  
Time Evolution ◽  
Equations Of Motion ◽  
Time Dependent ◽  
Mass Change ◽  
Transformation Time

It is shown that a mass change in a harmonic oscillator generates a squeezing transformation. Time-independent as well as time-dependent transformations are investigated. An expression for the interaction Hamiltonian responsible for squeezing and the equations of motion for the time evolution are derived.

Time Evolution of the Time-Dependent Harmonic Oscillator

1998 ◽  
Vol 29 (3) ◽  
pp. 385-388 ◽  
Author(s):  
Xu Jingbo ◽  
Yu Youhong
Keyword(s):  
Harmonic Oscillator ◽  
Time Evolution ◽  
Time Dependent

Time evolution of a time-dependent inverted harmonic oscillator in arbitrary dimensions

2012 ◽  
Vol 45 (11) ◽  
pp. 115301
Author(s):  
Guang-Jie Guo ◽  
Zhong-Zhou Ren ◽  
Guo-Xing Ju ◽  
Xiao-Yong Guo
Keyword(s):  
Harmonic Oscillator ◽  
Time Evolution ◽  
Time Dependent ◽  
Arbitrary Dimensions

SQUEEZING AND SOME OTHER CHARACTERISTICS OF TIME-DEPENDENT HARMONIC OSCILLATOR WITH VARIABLE MASS

1994 ◽  
Vol 08 (14n15) ◽  
pp. 917-927 ◽  
Author(s):  
A. JOSHI ◽  
S. V. LAWANDE
Keyword(s):  
Coherent State ◽  
Harmonic Oscillator ◽  
Time Evolution ◽  
Evolution Operator ◽  
Variable Mass ◽  
Time Dependent ◽  
Integral Approach ◽  
Feynman Path ◽  
Time Evolution Operator ◽  
General Time

In this paper we investigate the time evolution of a general time-dependent harmonic oscillator (TDHO) with variable mass using Feynman path integral approach. We explicitly evaluate the squeezing in the quadrature components of a general quantum TDHO with variable mass. This calculation is further elaborated for three particular cases of variable mass whose propagator can be written in a closed form. We also obtain an exact form of the time-evolution operator, the wave function, and the time-dependent coherent state for the TDHO. Our results clearly indicate that the time-dependent coherent state is equivalent to the squeezed coherent state.

scholarly journals A TIME-DEPENDENT MULTI-DETERMINANT APPROACH TO NUCLEAR DYNAMICS

2013 ◽  
Vol 22 (06) ◽  
pp. 1350040 ◽  
Author(s):  
G. PUDDU
Keyword(s):  
Wave Function ◽  
Time Evolution ◽  
Krylov Subspace ◽  
Equations Of Motion ◽  
Strength Function ◽  
Time Dependent ◽  
Nuclear Wave Function ◽  
Nuclear Dynamics ◽  
Hartree Fock

We propose a Time-Dependent Multi-Determinant (TDMD) approach to the description of the time evolution of the nuclear wave functions. We use the Dirac variational principle to derive the equations of motion using as ansatz for the nuclear wave function a linear combination of Slater determinants. We prove explicitly that the norm and the energy of the wave function are conserved during the time evolution. This approach is a generalization of the time-dependent Hartree–Fock method to many Slater determinants. We apply this approach to a case study of 6 Li using the N3LO interaction renormalized to four major harmonic oscillator shells. We solve the TDMD equations of motion using Krylov subspace methods of Lanczos type. As an application, we discuss the isoscalar monopole strength function.

Exponential time‐evolution operator for the time‐dependent harmonic oscillator

1987 ◽  
Vol 28 (12) ◽  
pp. 2908-2908 ◽  
Author(s):  
Francisco M. Fernández
Keyword(s):  
Harmonic Oscillator ◽  
Time Evolution ◽  
Evolution Operator ◽  
Time Dependent ◽  
Time Evolution Operator ◽  
Exponential Time

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

2012 ◽  
Vol 45 (46) ◽  
pp. 465301 ◽  
Author(s):  
Ali Mahdifar ◽  
Behrouz Mirza ◽  
Rasoul Roknizadeh
Keyword(s):  
Harmonic Oscillator ◽  
Time Dependent ◽  
Two Dimensional ◽  
Isotropic Harmonic Oscillator
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