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• W1615679852 abstract "We propose the assumption of quantum mechanics on a discrete space and time, which implies the modification of mathematical expressions for some postulates of quantum mechanics. In particular we have a Hilbert space where the vectors are complex functions of discrete variable. As a concrete example we develop a discrete analog of the one-dimensional quantum harmonic oscillator, using the dependence of the Wigner functions in terms of Kravchuk polynomials. In this model the position operator has a discrete spectrum given by one index of the Wigner functions, in the same way that the energy eigenvalues are given by the other matricial index." @default.
• W1615679852 created "2016-06-24" @default.
• W1615679852 creator A5011274948 @default.
• W1615679852 date "1997-01-01" @default.
• W1615679852 modified "2023-09-27" @default.
• W1615679852 title "Quantum Mechanics on Discrete Space and Time" @default.
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• W1615679852 doi "https://doi.org/10.1007/978-94-011-5886-2_28" @default.
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