Ambiguities in canonical transformations of classical systems and the spectra of quantum observables View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1978

AUTHORS

M. Moshinsky , T. H. Seligman

ABSTRACT

We discuss through the examples of the oscillator with centrifugal potential and the Coulomb problem in dilated form, the general procedure for finding the representation in quantum mechanics of non-linear and non-bijective canonical transformations. The ambiguity group associated with the canonical transformations and the irreducible representations of this group, which lead to the concept of ambiguity spin, suggest also that some features of the spectra of quantum operators are already present in the classical picture. More... »

PAGES

435-457

Book

TITLE

Differential Geometrical Methods in Mathematical Physics II

ISBN

978-3-540-08935-3
978-3-540-35721-6

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bfb0063685

DOI

http://dx.doi.org/10.1007/bfb0063685

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1030061206


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