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Quantum mechanics and the gravitational red shift

Published online by Cambridge University Press:  24 October 2008

H. F. Stoeckli
H. F. Stoeckli
Affiliation:
Inorganic Chemistry Laboratory, Oxford†
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Abstract

It is shown that the formula for the gravitational red shift predicted by the theory of general relativity can also be derived by classical quantum mechanics combined with relativistic arguments. The agreement between the two derivations is a consequence of the separability of the time-dependent wave function, and of the first-order time differential in the wave equation.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 69 , Issue 2 , March 1971 , pp. 315 - 318
Copyright
Copyright © Cambridge Philosophical Society 1971

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References

REFERENCES

(1)Einstein, A.Ann. Physik 49 (1916), 820.Google Scholar
(2)Tolman, R. C.Relativity, thermodynamics and cosmology (Oxford, 1966)Google Scholar
(3)Møller, C.The theory of relativity (Oxford, 1969)Google Scholar