Time Evolution Caused by Hamiltonian Composed of Quadratic Combination of Canonical Operators and Time-Dependent Two-Mode Fresnel Operator |
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| Authors: | FAN Hong-Yi LU Hai-Liang |
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| Institution: | 1. Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China
;2. Department of Material Science and Engineering, University
of Science and Technology of China, Hefei 230026, China |
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| Abstract: | We show that the time-dependent two-mode Fresnel operator is just the
time-evolutional unitary operator governed by the Hamiltonian composed of
quadratic combination of canonical operators in the way of exhibiting
SU(1,1) algebra. This is an approach for obtaining the time-dependent
Hamiltonian from the preassigned time evolution in classical phase space,
an approach which is in contrast to Lewis-Riesenfeld's invariant operator
theory of treating time-dependent harmonic oscillators. |
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| Keywords: | time-dependent two-mode Fresnel operator quadratic combination of canonical operators Lewis-Riesenfeld's invariant operator theory |
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