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Wave model for conservative bound systems.

Alexandru Popa1

  • 1Laser Department, Institute of Atomic Physics, National Institute for Laser, Plasma and Radiation Physics, Bucharest, Magurele, Romania. ampopa@rdslink.ro

The Journal of Chemical Physics
|July 23, 2005
PubMed
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This study reveals classical paths within quantum mechanics, mirroring Bohm's hidden variable theory without approximations. These paths, derived from the Schrodinger and wave equations, are mathematically significant and consistent with quantum principles.

Area of Science:

  • Quantum mechanics
  • Theoretical physics
  • Mathematical physics

Background:

  • Bohm's hidden variable theory established a link between Schrodinger and Hamilton-Jacobi equations.
  • This theory demonstrated classical paths satisfying generalized Bohr quantization conditions.
  • Previous work often relied on geometrical optics or semiclassical approximations.

Purpose of the Study:

  • To demonstrate properties analogous to those in hidden variable theory.
  • To establish a connection between Schrodinger and wave equations for conservative bound systems.
  • To validate these properties using only established quantum mechanics postulates.

Main Methods:

  • Equivalence between Schrodinger and wave equations for conservative bound systems.

Related Experiment Videos

  • Utilizing the fundamental equations and postulates of quantum mechanics.
  • Avoiding geometrical optics or semiclassical approximations.

    • Main Results:

    • Similar properties to hidden variable theory were proven.
    • The existence of classical paths was shown without additional postulates.
    • These classical paths were demonstrated to be mathematically significant.

    Conclusions:

    • The approach is consistent with the postulates of quantum mechanics.
    • Classical paths derived possess only mathematical significance, aligning with quantum principles.
    • The study provides a novel perspective on quantum-classical connections.