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One-parameter squeezed gaussian states of time-dependent harmonic oscillator (1998).
| Content Provider | CiteSeerX |
|---|---|
| Author | Kim, Jung Kon Kim, Sang Pyo |
| Abstract | We show that the nonlinear auxiliary equation for the invariant introduced by Lewis and Riesenfeld for a time-dependent harmonic oscillator is satisfied by the amplitude of a complex soltuion to the classical equation of motion. One-parameter squeezed Gaussian states are found whose parameter denotes the mixing of positive and negative frequency solutions. The minimization of the energy expectation value is shown to provide a criterion to select the vacuum state. PACS number(s): 42.50.D; 03.65.G; 03.65.-w Typeset using REVTEX 1 Harmonic oscillators have played many important roles in quantum physics, partly because they are exactly solvable quantum mechanically and partly because any system around an equilibrium can be approximated as a harmonic oscillator system. As a non-stationary system, a time-dependent quantum harmonic oscillator can also be exactly solved. One can find typical time-dependent harmonic oscillators in a system of harmonic oscillators interacting |
| File Format | |
| Publisher Date | 1998-01-01 |
| Access Restriction | Open |
| Subject Keyword | Time-dependent Harmonic Oscillator One-parameter Squeezed Gaussian State Harmonic Oscillator Energy Expectation Value Solvable Quantum Nonlinear Auxiliary Equation Harmonic Oscillator System Negative Frequency Solution Quantum Physic Time-dependent Quantum Harmonic Oscillator Classical Equation Pac Number Vacuum State Complex Soltuion Gaussian State Many Important Role Non-stationary System Typical Time-dependent Harmonic Oscillator |
| Content Type | Text |
