QUANTUM DEFORMATIONS OF QUANTUM MECHANICS
Copyright policy )QUANTUM DEFORMATIONS OF QUANTUM MECHANICS
Based on a deformation of the quantum mechanical phase space we study q-deformations of quantum mechanics for qk=1 and 0<q<1. After defining a q-analog of the scalar product on the function space we discuss and compare the time evolution of operators in both cases. A formulation of quantum mechanics for qk=1 is given and the dynamics for the free Hamiltonian is studied. For 0<q<1 we develop a deformation of quantum mechanics and the cases of the free Hamiltonian and the one with a x2-potential are solved in terms of basic hypergeometric functions.
- University of Puerto Rico System United States
- Universidad de Puerto Rico Puerto Rico
Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups and related algebraic methods applied to problems in quantum theory, Commutation relations and statistics as related to quantum mechanics (general)
Quantum groups (quantized enveloping algebras) and related deformations, Quantum groups and related algebraic methods applied to problems in quantum theory, Commutation relations and statistics as related to quantum mechanics (general)
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