【摘 要】
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There has been much interest in recent years in quantum mechanics in finite phase plane.In this talk,we use inversion operators on a lattice in finite phase
【出 处】
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The XXIX International Colloquium on Group-Theoretical Metho
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There has been much interest in recent years in quantum mechanics in finite phase plane.In this talk,we use inversion operators on a lattice in finite phase plane for building a complete set of mutually orthogonal Hermitian operators.The lattice is given by tc in the x direction and by sh 2π/Mc in the p direction; c is an arbitrary length constant and M is the dimension of the space; s and t assume the values from 0 to M-1.For M odd the M2 inversion operators on the lattice form a complete set of mutually orthogonal operators.For M even we assign a sum of 4 inversion operators (a quartet) to each site of the lattice (t,s).We prove that these quartets for t,s=0,1,...,M-1 form a mutually orthogonal set of M2 Hermitian operators.
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