QUANTUM-THEORY OF ROTATION ANGLES - THE PROBLEM OF ANGLE SUM AND ANGLE DIFFERENCE

Authors
LUIS A SANCHEZSOTO LL
Citation
A. Luis et Ll. Sanchezsoto, QUANTUM-THEORY OF ROTATION ANGLES - THE PROBLEM OF ANGLE SUM AND ANGLE DIFFERENCE, EUROPEAN PHYSICAL JOURNAL D, 3(2), 1998, pp. 195-200
Citations number
45
Categorie Soggetti
Physics, Atomic, Molecular & Chemical
Journal title
EUROPEAN PHYSICAL JOURNAL D → ACNP
ISSN journal
14346060
Volume
3
Issue
2
Year of publication
1998
Pages
195 - 200
Database
ISI
SICI code
1434-6060(1998)3:2<195:QORA-T>2.0.ZU;2-5
Abstract
We reconsider the problem of the sum and difference of two angle varia bles in quantum mechanics. The spectra of the sum and difference opera tors have widths of 4 pi, but angles differing by 2 pi are indistingui shable. This means that the angle sum and difference probability distr ibutions must be cast into a 2 pi range. We obtain probability distrib utions for the angle sum and difference and relate this problem to the representation of nonbijective canonical transformations.