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- W4312140577 endingPage "1851" @default.
- W4312140577 startingPage "1851" @default.
- W4312140577 abstract "Harmonic oscillators with multiple abrupt jumps in their frequencies have been investigated by several authors during the last decades. We investigate the dynamics of a quantum harmonic oscillator with initial frequency ω0, which undergoes a sudden jump to a frequency ω1 and, after a certain time interval, suddenly returns to its initial frequency. Using the Lewis−Riesenfeld method of dynamical invariants, we present expressions for the mean energy value, the mean number of excitations, and the transition probabilities, considering the initial state different from the fundamental. We show that the mean energy of the oscillator, after the jumps, is equal or greater than the one before the jumps, even when ω1<ω0. We also show that, for particular values of the time interval between the jumps, the oscillator returns to the same initial state." @default.
- W4312140577 created "2023-01-04" @default.
- W4312140577 creator A5060977039 @default.
- W4312140577 creator A5083019076 @default.
- W4312140577 creator A5088077141 @default.
- W4312140577 date "2022-12-19" @default.
- W4312140577 modified "2023-10-05" @default.
- W4312140577 title "Exact Solution of a Time-Dependent Quantum Harmonic Oscillator with Two Frequency Jumps via the Lewis–Riesenfeld Dynamical Invariant Method" @default.
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- W4312140577 doi "https://doi.org/10.3390/e24121851" @default.
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