Fourth order time-dependent variation perturbation theory based on the hydrodynamic analogy
- 1 November 1979
- journal article
- research article
- Published by Taylor & Francis in Molecular Physics
- Vol. 38 (5) , 1359-1365
- https://doi.org/10.1080/00268977900102481
Abstract
The hydrodynamic analogy to quantum mechanics ansatz for the total wavefunction and the Frenkel variational principle are used to determine a functional, through fourth order, which describes the response of a system under the influence of a time-dependent electric field. The fourth order functional is shown to provide an improvable upper bound and it is shown to be formally equivalent to the approach formulated by Karplus and Kolker.Keywords
This publication has 20 references indexed in Scilit:
- On the intuitive understanding of nonlocality as implied by quantum theoryFoundations of Physics, 1975
- Variational time-dependent perturbation scheme based on the hydrodynamic analogy to Schrödinger's equationThe Journal of Chemical Physics, 1974
- Aspects of Time-Dependent Perturbation TheoryReviews of Modern Physics, 1972
- Hydrodynamic Model of Quantum MechanicsPhysical Review D, 1970
- The Vector Representation of Spinning Particle in the Quantum Theory, IProgress of Theoretical Physics, 1955
- Model of the Causal Interpretation of Quantum Theory in Terms of a Fluid with Irregular FluctuationsPhysical Review B, 1954
- 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
- A Suggested Interpretation of the Quantum Theory in Terms of "Hidden" Variables. IIPhysical Review B, 1952