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- W3103106210 abstract "We present a formulation of quantum mechanics based on orthogonal polynomials. The wavefunction is expanded over a complete set of square integrable basis in configuration space where the expansion coefficients are orthogonal polynomials in the energy. Information about the corresponding physical systems (both structural and dynamical) are derived from the properties of these polynomials. We demonstrate that an advantage of this formulation is that the class of exactly solvable non-relativistic quantum mechanical problems becomes larger than in the conventional formulation (see, for example, Table 1 in the text)." @default.
- W3103106210 created "2020-11-23" @default.
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- W3103106210 date "2019-12-31" @default.
- W3103106210 modified "2023-09-23" @default.
- W3103106210 title "Representation of the quantum mechanical wavefunction by orthogonal polynomials in the energy and physical parameters" @default.
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- W3103106210 doi "https://doi.org/10.1088/1572-9494/ab5d00" @default.
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