ISSN:
1572-9524
Keywords:
canonical commutation relations
;
domain problems
;
label operators
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract We discuss the inadequacy of the standard definition of canonical conjugation for a quantum operator having adiscrete spectrum. A different definition is proposed, based on the analogy betweencontinuous anddiscrete translations (or rotations). This definition can be applied to special operators which we calllabel operators. The general form of the conjugate momentum of a label operator is found and the resulting canonical commutation rules are discussed. It is shown that the canonical commutator acts like ac number in itsdomain ℌ I , but the domain does not coincide with the whole Hilbert space. The properties of the subspaceℌ I are also discussed.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF00689891
Permalink
