Abstract
The problem of particle escape from the quantum potential well in the case of weak coupling to thermal bath is considered. Quantum-mechanical transparency of the barrier is taken into account. Explicit analytic solutions are presented for the distribution function and for the escape rate in the extremely underdamped limit. A model, which rests on an integral self-consistent equation for the distribution function, is utilized for the description of particle escape in the underdamped domain at high temperatures. An equivalent form of the Mel’nikov expression for the escape rate is derived. The resulting expression is analysed for the single- and double-well systems.
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Rips, I., Jortner, J. (1986). The Quantum Kramers’ Problem in the Underdamped Limit. In: Jortner, J., Pullman, B. (eds) Tunneling. The Jerusalem Symposia on Quantum Chemistry and Biochemistry, vol 19. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4752-8_17
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DOI: https://doi.org/10.1007/978-94-009-4752-8_17
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