Asymptotically minimal uncertainty states for time-dependent oscillators

Asymptotically minimal uncertainty states for time-dependent oscillators

We consider the time-dependent Schrödinger equation in one spatial dimension with a time-dependent quadratic Hamiltonian and, under appropriate assumptions on the coefficient functions in the Hamiltonian, construct solutions that approach minimal uncertainty states for large times.

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Veröffentlicht in:Journal of mathematical physics 2013-01, Vol.54 (1), p.1
Hauptverfasser: Punoševac, Predrag, Robinson, Sam L.
Format: Artikel
Sprache:eng
Schlagworte:
Asymptotic properties
Coefficients
Construction
Mathematical analysis
Oscillators
Quantum physics
Schrodinger equation
Schroedinger equation
Uncertainty
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Beschreibung
Zusammenfassung:We consider the time-dependent Schrödinger equation in one spatial dimension with a time-dependent quadratic Hamiltonian and, under appropriate assumptions on the coefficient functions in the Hamiltonian, construct solutions that approach minimal uncertainty states for large times.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4773874