Discrete quantum mechanics

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 44; no. 35; pp. 353001 - 47
• Main Authors: Odake, Satoru, Sasaki, Ryu
• Format: Journal Article
• Language: English
• Published: Bristol IOP 02.09.2011
• Subjects: Algebra; Exact sciences and technology; Mathematical analysis; Physics; Pictures; Polynomials; Quantum mechanics; Schroedinger equation; Solution space; Symmetry; Hamiltonians; Quantum mechanics; Dynamical symmetry; Unified theory; Annihilation operators; Schroedinger equation; Creation operators; Invariance; Heisenberg picture; Solvability; Orthogonal polynomial

A comprehensive review of the discrete quantum mechanics with the pure imaginary shifts and the real shifts is presented in parallel with the corresponding results in the ordinary quantum mechanics. The main subjects to be covered are the factorized Hamiltonians, the general structure of the solutio...