Quasi Exactly Solvable Difference Equations
نویسنده
چکیده
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 x potential deformed by a cos 2x potential. They have a finite number of exactly calculable eigenvalues and eigenfunctions.
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