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Wigner quantization of some one-dimensional Hamiltonians
Wigner quantization one-dimensional Hamiltonians
2010/11/15
Recently, several papers have been dedicated to the Wigner quantization of different Hamiltonians. In these examples, many interesting mathematical and physical properties have been shown. Among those...
Berezin-Toeplitz quantization on Kaehler manifolds
Berezin-Toeplitz quantization Kaehler manifolds
2010/12/10
We study the Berezin-Toeplitz quantization on K¨ahler manifolds. We explain first how to compute various associated asymptotic expansions, then we compute explicitly the first terms of the expansion o...
Exceptional orthogonal polynomials, QHJ formalism and SWKB quantization condition
Exceptional orthogonal polynomials QHJ formalism SWKB quantization condition
2010/12/3
We study the quantum Hamilton-Jacobi structure of the recently obtained exactly solvable models, related to the newly discovered exceptional polynomials. The fact that the eigenfunctions have zeros an...