Schrödinger equation from an exact uncertainty principle
- 28 March 2002
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 35 (14), 3289-3303
- https://doi.org/10.1088/0305-4470/35/14/310
Abstract
An exact uncertainty principle, formulated as the assumption that a classical ensemble is subject to random momentum fluctuations of a strength which is determined by and scales inversely with uncertainty in position, leads from the classical equations of motion to the Schrödinger equation.Keywords
Other Versions
This publication has 13 references indexed in Scilit:
- Exact uncertainty relationsPhysical Review A, 2001
- Quantum properties of classical Fisher informationPhysical Review A, 2000
- Derivation of the equations of nonrelativistic quantum mechanics using the principle of minimum Fisher informationPhysical Review A, 1998
- Remarks on the Formulation of Quantum Mechanics with Classical Pictures and on Relations between Linear Scalar Fields and Hydrodynamical FieldsProgress of Theoretical Physics, 1953
- On the Formulation of Quantum Mechanics associated with Classical PicturesProgress of Theoretical Physics, 1952
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. IPhysical Review B, 1952
- ber den anschaulichen Inhalt der quantentheoretischen Kinematik und MechanikThe European Physical Journal A, 1927
- Zur Quantenmechanik. II.The European Physical Journal A, 1926
- Zur QuantenmechanikThe European Physical Journal A, 1925
- Theory of Statistical EstimationMathematical Proceedings of the Cambridge Philosophical Society, 1925