Stochastic simulation of quantum mechanics

S. M. Catterall, I. T. Drummond, R. R. Horgan

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Langevin methods have proved useful in simulating lattice field theories of many kinds. These methods are essentially a practical realization of the stochastic quantization approach to quantum mechanical systems. The authors wish to show that the Langevin method is effective in calculations of non-relativistic quantum mechanical systems. For a one-dimensional system a more conventional approach through the diagonalization of the Hamiltonian matrix using the method of Sturm sequencing is more efficient. However, in two and higher dimensions where the Hamiltonian is no longer tridiagonal the Langevin scheme is more efficient and accurate. It follows therefore that Langevin methods may actually have a great deal to offer in quantum mechanical problems in high dimensions especially in cases where the potential does not have spherical symmetry.

Original languageEnglish (US)
Article number025
Pages (from-to)4081-4091
Number of pages11
JournalJournal of Physics A: Mathematical and General
Volume24
Issue number17
DOIs
StatePublished - Dec 1 1991
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • Physics and Astronomy(all)

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