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Quantum collision theory with phase-space distributions

P. Carruthers and F. Zachariasen*

P. Carruthers

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

F. Zachariasen*

  • California Institute of Technology, Pasadena, California 91125

  • *On leave of absence: Los Alamos National Laboratory, Los Alamos, New Mexico 87545.
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Rev. Mod. Phys. 55, 245 – Published 1 January, 1983

DOI: https://doi.org/10.1103/RevModPhys.55.245

Abstract

Quantum-mechanical phase-space distributions, introduced by Wigner in 1932, provide an intuitive alternative to the usual wave-function approach to problems in scattering and reaction theory. The aim of the present work is to collect and extend previous efforts in a unified way, emphasizing the parallels among problems in ordinary quantum theory, nuclear physics, chemical physics, and quantum field theory. The method is especially useful in providing easy reductions to classical physics and kinetic regimes under suitable conditions. Section II, dealing in detail with potential scattering of a spinless nonrelativistic particle, provides the background for more complex problems. Following a brief description of the two-body problem, the authors address the N-body problem with special attention to hierarchy closures, Boltzmann-Vlasov equations, and hydrodynamic aspects. The final section sketches past and possibly future applications to a wide variety of problems.

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Rev. Mod. Phys. 55, 245– Published 1 January, 1983

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