Time-dependent diffeomorphisms as quantum canonical transformations and the time-dependent harmonic oscillator
نویسندگان
چکیده
منابع مشابه
Time-Dependent Diffeomorphisms as Quantum Canonical Transformations and the Time-Dependent Harmonic Oscillator
Quantum canonical transformations corresponding to time-dependent diffeomorphisms of the configuration space are studied. A special class of these transformations which correspond to time-dependent dilatations is used to identify a previously unknown class of exactly solvable time-dependent harmonic oscillators. The CaldirolaKanai oscillator belongs to this class. For a general time-dependent h...
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Quantum canonical transformations corresponding to the action of the unitary operator e √ f(x)p √ f(x) is studied. It is shown that for f(x) = x, the effect of this transformation is to rescale the position and momentum operators by e and e, respectively. This transformation is shown to lead to the identification of a previously unknown class of exactly solvable time-dependent harmonic oscillat...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and General
سال: 1998
ISSN: 0305-4470,1361-6447
DOI: 10.1088/0305-4470/31/30/014