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On a type of canonical transformation
Published online by Cambridge University Press: 20 January 2009
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1. A well known theorem in classical dynamics tells us that if Q, P, and 
are written as functions of q, p and t by means of the equations
where W (q, Q, t) is an arbitrary function, and if two functions F (Q, P, t) and f (q, p, t) are related by
then q and p are conjugate with respect to f(q, p, t) if Q and P are conjugate with respect to F (Q, P, t).
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 7 , Issue 3 , February 1946 , pp. 134 - 137
- Copyright
- Copyright © Edinburgh Mathematical Society 1946
References
page 134 note 1 These Proceedings (2), 2, 1931, pp. 189–204.Google Scholar
page 134 note 2 Ibidem, 205–239.
page 134 note 3 l.c. 206–7.Google Scholar
page 135 note 1 loc. cit.Google Scholar
page 135 note 2 The author is indebted to DrErdélyi, A. for assistance in the mathematical presentation of the paper.Google Scholar
page 137 note 1 Pruc. Roy. Soc., Edinburgh, A, 61, Part 3.Google Scholar
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