Star Products and Deformed Oscillators
Copyright policy )Star Products and Deformed Oscillators
A star-product formalism describing deformations of the standard quantum mechanical harmonic oscillator is introduced. A number of existing generalized oscillators occur as particular choises of star-products between the elements of the ordinary oscillator algebra. Star dynamics and coherent states are introduced and studied.
15 pages
High Energy Physics - Theory, Deformation quantization, star products, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Geometry and quantization, symplectic methods
High Energy Physics - Theory, Deformation quantization, star products, High Energy Physics - Theory (hep-th), Mathematics - Quantum Algebra, FOS: Mathematics, Quantum Algebra (math.QA), FOS: Physical sciences, Groups and algebras in quantum theory and relations with integrable systems, Geometry and quantization, symplectic methods
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