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

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.
Authors:
 [1] ;  [2] ;  [3]
  1. Department of Physics, Shanxi Datong University, 037009 Datong (China)
  2. (China)
  3. Institute of Theoretical Physics, Shanxi Datong University, 037009 Datong (China)
Publication Date:
OSTI Identifier:
22306085
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 8; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIGENSTATES; EIGENVALUES; ENERGY LEVELS; QUANTUM MECHANICS; UNCERTAINTY PRINCIPLE