Article

Localization at the energy threshold in non-commutative space

Theory Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Calcutta 700064, India
Physics Letters A DOI:10.1016/j.physleta.2008.06.001

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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Keywords

non-commutative parameter
 
non-commutative space
 
scale symmetric system