2022
DOI: 10.14311/ap.2022.62.0211
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Time-dependent mass oscillators: constants of motion and semiclasical states

Abstract: This work reports the construction of constants of motion for a family of time-dependent mass oscillators, achieved by implementing the formalism of form-preserving point transformations. The latter allows obtaining a spectral problem for each constant of motion, one of which leads to a non-orthogonal set of eigensolutions that are, in turn, coherent states. That is, eigensolutions whose wavepacket follows a classical trajectory and saturate, in this case, the Schrödinger-Robertson uncertainty relationship. Re… Show more

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Cited by 1 publication
(1 citation statement)
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“…This greatly reduces the number of exactly solvable time-dependent non-Hermitian systems [34][35][36][37][38]. In particular, other works have been concerned with studying exact solutions of TD Hamiltonians with a specific TD mass in the non-Hermitian case [39,40] and also in the Hermitian case [41][42][43][44][45].…”
Section: Introductionmentioning
confidence: 99%
“…This greatly reduces the number of exactly solvable time-dependent non-Hermitian systems [34][35][36][37][38]. In particular, other works have been concerned with studying exact solutions of TD Hamiltonians with a specific TD mass in the non-Hermitian case [39,40] and also in the Hermitian case [41][42][43][44][45].…”
Section: Introductionmentioning
confidence: 99%