Discrete-time quantum mechanics

Carl M. Bender, Kimball A. Milton, David H. Sharp, L. M. Simmons, Jr., and Richard Stong
Phys. Rev. D 32, 1476 – Published 15 September 1985
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Abstract

The finite-element (collocation) method enables us to construct discrete time-lattice quantum systems that accurately approximate continuum quantum systems. The discrete quantum systems so generated are fully consistent quantum-mechanical systems in their own right. This paper gives a comprehensive treatment of such quantum systems. We examine various finite-element schemes, construct the effective lattice Hamiltonian, and calculate eigenvalues. Numerical results are extremely easy to obtain and are very accurate.

  • Received 18 January 1985

DOI:https://doi.org/10.1103/PhysRevD.32.1476

©1985 American Physical Society

Authors & Affiliations

Carl M. Bender

  • Department of Physics, Washington University, St. Louis, Missouri 63130

Kimball A. Milton

  • Department of Physics, Oklahoma State University, Stillwater, Oklahoma 74078

David H. Sharp and L. M. Simmons, Jr.

  • Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

Richard Stong

  • Department of Physics, Washington University, St. Louis, Missouri 63130

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Issue

Vol. 32, Iss. 6 — 15 September 1985

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