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Coordinate and momentum representations in quantum mechanics

Published online by Cambridge University Press:  09 April 2009

D. F. Lawden
D. F. Lawden
Affiliation:
University of CanterburyChristchurch, New Zealand
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On the basis of physical principles having a very general nature, A. Landé [1] has demonstrated that the mathematical structure of quantum mechanics can be derived without having recourse to the introduction of special assumptions of an ad hoc type (such as commutation rules governing canonical observables) which are not immediately suggested by our knowledge of the physical world, but which have simply originated as rules which mathematical physicists have discovered by past experience to yield conclusions in conformity with experiment.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 2 , May 1968 , pp. 304 - 309
Copyright
Copyright © Australian Mathematical Society 1968

References

[1]Landé, A., New Foundations of Quantum Mechanics (Cambridge University Press, 1965).Google Scholar
[2]Tolman, R. C., The Principles of Statistical Mechanics, Chap. VII (Oxford University Press, 1955).Google Scholar
[3]Jeffreys, H., Cartesian Tensors, Chap. VII (Cambridge University Press, 1957).Google Scholar