Vol. 53, No. 5
November 1999
pp. 807-813

Adiabatic anholonomy and canonical transformations

JAGMEET SINGH

School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India
Present address: Seismic Software Division, GEOPIC, KDMIPE Campus, Dehradun 248 195, India
Address for correspondence: D-105 Race Course, Dehradun 248 001, India
Email: sasha@nde.vsnl.net.in
MS received 5 July 1999; revised 21 September 1999

Abstract.

Biswas and Soni [4] have surmised a semiclassical formula for Berry's phase in terms of a generating function. We derive this formula apart from showing that it is not true in general and investigate its domain of validity. We also derive transformation formulae for Berry's phase (Hannay's angle) under general canonical transformations. A simpler proof for total angle invariance than hitherto available, is given.

Keywords. Berry's phase; Hannay's angle; canonical transformations.

PACS No. 03.65.Bz

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