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• W1989523679 abstract "By using the Feynman-Hibbs prescription for the evolution amplitude, we quantize the system of a damped harmonic oscillator coupled to its time-reversed image, known as Bateman's dual system. The time-dependent quantum states of such a system are constructed and discussed entirely in the framework of the classical theory. The corresponding geometric (Pancharatnam) phase is calculated and found to be directly related to the ground-state energy of the 1D linear harmonic oscillator to which the 2D system reduces under appropriate constraint." @default.
• W1989523679 created "2016-06-24" @default.
• W1989523679 creator A5010581754 @default.
• W1989523679 creator A5055596286 @default.
• W1989523679 date "2004-08-01" @default.
• W1989523679 modified "2023-10-03" @default.
• W1989523679 title "Bateman's dual system revisited: quantization, geometric phase and relation with the ground-state energy of the linear harmonic oscillator" @default.
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• W1989523679 doi "https://doi.org/10.1016/j.aop.2004.01.008" @default.
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