publication . Article . Other literature type . Part of book or chapter of book . 1948

Space-Time Approach to Non-Relativistic Quantum Mechanics

Open Access
  • Published: 01 Apr 1948 Journal: Reviews of Modern Physics, volume 20, pages 367-387 (issn: 0034-6861, Copyright policy)
  • Publisher: American Physical Society (APS)
  • Country: United States
Non-relativistic quantum mechanics is formulated here in a different way. It is, however, mathematically equivalent to the familiar formulation. In quantum mechanics the probability of an event which can happen in several different ways is the absolute square of a sum of complex contributions, one from each alternative way. The probability that a particle will be found to have a path x(t) lying somewhere within a region of space time is the square of a sum of contributions, one from each path in the region. The contribution from a single path is postulated to be an exponential whose (imaginary) phase is the classical action (in units of ℏ) for the path in questi...
free text keywords: Quantum statistical mechanics, Path integral formulation, Quantum probability, Relation between Schrödinger's equation and the path integral formulation of quantum mechanics, Physics, Quantum mechanics, Probability amplitude, Classical mechanics, Quantization (physics), Sum rule in quantum mechanics, Imaginary time, Space time, Relativistic quantum mechanics
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