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• W1966164911 abstract "We present the energy eigenvalues of a quantum bouncer in the framework of the Generalized (Gravitational) Uncertainty Principle (GUP) via quantum mechanical and semiclassical schemes. In this paper, we use two equivalent nonperturbative representations of a deformed commutation relation in the form [X,P]=ihbar(1+beta P^2) where beta is the GUP parameter. The new representation is formally self-adjoint and preserves the ordinary nature of the position operator. We show that both representations result in the same modified semiclassical energy spectrum and agrees well with the quantum mechanical description." @default.
• W1966164911 created "2016-06-24" @default.
• W1966164911 creator A5055744942 @default.
• W1966164911 date "2012-01-08" @default.
• W1966164911 modified "2023-10-16" @default.
• W1966164911 title "Minimal Length and the Quantum Bouncer: A Nonperturbative Study" @default.
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• W1966164911 doi "https://doi.org/10.1007/s10773-011-1066-6" @default.
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