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• W3098579689 abstract "We show that quantum Bateman's system which arises in the quantization of a damped harmonic oscillator is equivalent to a quantum problem with 2D parabolic potential barrier known also as 2D inverted isotropic oscillator. It turns out that this system displays the family of complex eigenvalues corresponding to the poles of analytical continuation of the resolvent operator to the complex energy plane. It is shown that this representation is more suitable than the hyperbolic one used recently by Blasone and Jizba." @default.
• W3098579689 created "2020-11-23" @default.
• W3098579689 creator A5045294338 @default.
• W3098579689 date "2006-04-01" @default.
• W3098579689 modified "2023-09-26" @default.
• W3098579689 title "Quantum damped oscillator II: Bateman’s Hamiltonian vs. 2D parabolic potential barrier" @default.
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• W3098579689 doi "https://doi.org/10.1016/j.aop.2005.11.005" @default.
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