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• W2824126565 abstract "We consider two quantization approaches to the Bateman oscillator model. One is Feshbach–Tikochinsky’s quantization approach reformulated concisely without invoking the SU(1,1) Lie algebra, and the other is the imaginary-scaling quantization approach developed originally for the Pais–Uhlenbeck oscillator model. The latter approach overcomes the problem of unbounded-below energy spectrum that is encountered in the former approach. In both the approaches, the positive-definiteness of the squared-norms of the Hamiltonian eigenvectors is ensured. Unlike Feshbach–Tikochinsky’s quantization approach, the imaginary-scaling quantization approach allows to have stable states in addition to decaying and growing states." @default.
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• W2824126565 date "2019-04-01" @default.
• W2824126565 modified "2023-09-26" @default.
• W2824126565 title "Two quantization approaches to the Bateman oscillator model" @default.
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• W2824126565 doi "https://doi.org/10.1016/j.aop.2019.02.004" @default.
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