Electronic Resource
Springer
Communications in mathematical physics
45 (1975), S. 159-165
ISSN:
1432-0916
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract The Weyl relatione −isQ e itP e isQ =e it(P+sI) is generalized so as to hold for noncanonical couples (P,Q) implying the commutation relationi[P,Q]=C whereC is arbitrary bounded self-adjoint. It is shown that if 0 is not in the closure of the numerical range ofC then bothP andQ are spectrally continuous and neither bounded from below nor above. The dynamical equations in noncanonical theory are established. It is shown thatH (which is no longer given by correspondence) cannot be bounded from below (above) ifC≦0 (C≧0),C≠0.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01629246
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