The effect of generalized uncertainty principle on square well, a case study

Journal Article · Fri Aug 15 00:00:00 EDT 2014 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.4892102· OSTI ID:22306085

Ma, Meng-Sen ^[1]; Zhao, Ren ^[2]

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1. Department of Physics, Shanxi Datong University, 037009 Datong (China)
2. Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong (China)

According to a special case (β = 0) of the generalized uncertainty relation we derive the energy eigenvalues of the infinite potential well. It is shown that the obtained energy levels are different from the usual result with some correction terms. And the correction terms of the energy eigenvalues are independent of other parameters except α. But the eigenstates will depend on another two parameters besides α.

• OSTI ID: 22306085
• Journal Information: Journal of Mathematical Physics, Vol. 55, Issue 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EIGENSTATES
EIGENVALUES
ENERGY LEVELS
QUANTUM MECHANICS
UNCERTAINTY PRINCIPLE