A quantum theory for non-viscous fluids in the Lagrange variables
- 1 July 1954
- journal article
- research article
- Published by Cambridge University Press (CUP) in Mathematical Proceedings of the Cambridge Philosophical Society
- Vol. 50 (3) , 449-453
- https://doi.org/10.1017/s0305004100029558
Abstract
1. Introduction. A number of authors (2,3,7) have recently quantized the motion of an inviscid fluid. The starting point has been the variational principle of Bateman which uses the Clebsch variables. The density turns out to be the canonical conjugate to the velocity potential, and the transition to the quantum theory is then made in the usual way. If the fluid is making small vibrations, ‘phonons’, which are scalar, appear as a result of the quantization.Keywords
This publication has 3 references indexed in Scilit:
- Quantum hydrodynamics and the theory of liquid heliumProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1953
- Variational Principle in HydrodynamicsProgress of Theoretical Physics, 1953
- Variational Principle in HydrodynamicsProgress of Theoretical Physics, 1953