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Localization at the energy threshold in non-commutative space

Authors
Journal
Physics Letters A
0375-9601
Publisher
Elsevier
Publication Date
Volume
372
Issue
31
Identifiers
DOI: 10.1016/j.physleta.2008.06.001
Keywords
  • Quantum Physics
Disciplines
  • Mathematics
  • Physics

Abstract

Abstract We study non-commutative quantum mechanics and exploit the non-commutative parameter as a scale for a scale symmetric system. The Hamiltonian in non-commutative space allows an unusual bound state at the threshold of the energy, E = 0 . The so ( 2 , 1 ) algebra for the system is also studied in non-commutative space.

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