Schrdinger equation revisited. Academic Article uri icon


  • The time-dependent Schrdinger equation is a cornerstone of quantum physics and governs all phenomena of the microscopic world. However, despite its importance, its origin is still not widely appreciated and properly understood. We obtain the Schrdinger equation from a mathematical identity by a slight generalization of the formulation of classical statistical mechanics based on the Hamilton-Jacobi equation. This approach brings out most clearly the fact that the linearity of quantum mechanics is intimately connected to the strong coupling between the amplitude and phase of a quantum wave.

published proceedings

  • Proc Natl Acad Sci U S A

altmetric score

  • 3

author list (cited authors)

  • Schleich, W. P., Greenberger, D. M., Kobe, D. H., & Scully, M. O.

citation count

  • 20

complete list of authors

  • Schleich, Wolfgang P||Greenberger, Daniel M||Kobe, Donald H||Scully, Marlan O

publication date

  • April 2013