Minimal Length and the Quantum Bouncer: A Nonperturbative Study

Details Minimal Length and the Quantum Bouncer: A Nonperturbative Study Minimal Length and the Quantum Bouncer: A Nonperturbative Study

2012-01-13

arxiv.org/abs/1201.2802v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures, to appear in Int. J. Theor. Phys

Scientific paper

10.1007/s10773-011-1066-6

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]=i\hbar(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.

Affiliated with

Also associated with

No associations

Rating

Minimal Length and the Quantum Bouncer: A Nonperturbative Study does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Minimal Length and the Quantum Bouncer: A Nonperturbative Study, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal Length and the Quantum Bouncer: A Nonperturbative Study will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-471322