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• W2535094064 abstract "We investigate the evolution of the many-body wave function of a quantum system with time-varying effective mass, confined by a harmonic potential with time-varying frequency in the presence of a uniform time-varying magnetic field, and perturbed by a time-dependent uniform electric field. It is found that the wave function is comprised of a phase factor times the solution to the unperturbed time-dependent Schrödinger equation with the latter being translated by a time-dependent value that satisfies the classical driven equation of motion. In other words, we generalize the harmonic potential theorem to the case when the effective mass, harmonic potential, and the external uniform magnetic field with arbitrary orientation are all time-varying. The results reduce to various special cases obtained in the literature, particulary to that of the harmonic potential theorem wave function when the effective mass and frequency are both static and the external magnetic field is absent." @default.
• W2535094064 created "2016-10-28" @default.
• W2535094064 creator A5002835714 @default.
• W2535094064 creator A5061060623 @default.
• W2535094064 date "2016-10-17" @default.
• W2535094064 modified "2023-10-17" @default.
• W2535094064 title "The generalized harmonic potential theorem in the presence of a time-varying magnetic field" @default.
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• W2535094064 doi "https://doi.org/10.1038/srep35412" @default.
• W2535094064 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/5066324" @default.
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• W2535094064 hasPublicationYear "2016" @default.
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