A Note on the General Solution of Schrödinger's Equation and the Uncertainty Principle
- 15 December 1931
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (12) , 2115-2121
- https://doi.org/10.1103/physrev.38.2115
Abstract
It is shown that the general solution of Schrödinger's equation in one dimension for a given energy can be written in a form representing two beams travelling in opposite directions with the classical velocity. This permits an interpretation of the uncertainty principle in which an electron in a conservative field, with a definite energy, has also a definite speed, but its direction of motion is indeterminate. In regions in which the classical velocity is imaginary this interpretation becomes indefinite. A brief consideration is given to the generalization to three dimensions.Keywords
This publication has 3 references indexed in Scilit:
- On Quantum-Mechanical Reflection Coefficients and their Numerical DeterminationPhysical Review B, 1931
- One-Dimensional Problems in Quantum MechanicsPhysical Review B, 1931
- On the partial differential equations of mathematical physicsMathematische Annalen, 1903