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Open Quantum Systems Decoherence
Quantum Simulation
Entanglement Theory Quantum Correlations
Quasi Exactly Solvable Difference Equations
arXiv
Authors: Ryu Sasaki
Year
2007
Paper ID
49457
Status
Preprint
Abstract Read
~2 min
Abstract Words
71
Citations
N/A
Abstract
Several explicit examples of quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable Hamiltonians of one degree of freedom. These are difference analogues of the well-known quasi exactly solvable systems, the harmonic oscillator (with/without the centrifugal potential) deformed by a sextic potential and the 1/sin^2x potential deformed by a cos2x potential. They have a finite number of exactly calculable eigenvalues and eigenfunctions.
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- Several explicit examples of quasi exactly solvable `discrete' quantum mechanical Hamiltonians are derived by deforming the well-known exactly solvable Hamiltonians of one...
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