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A quantum theory for non-viscous fluids in the Lagrange variables

Published online by Cambridge University Press:  24 October 2008

S. F. B. Tyabji
S. F. B. Tyabji
Affiliation:
Christ's CollegeCambridge
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Extract

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.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 50 , Issue 3 , July 1954 , pp. 449 - 453
Copyright
Copyright © Cambridge Philosophical Society 1954

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References

REFERENCES

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