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A note on regular states and supplementary conditions (1988)

Grundling, Hendrik ; Hurst, C. A.

Springer

Letters in mathematical physics 15 (1988), S. 205-212

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ISSN: 1573-0530

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract We show that linear Hermitian supplementary conditions can never be imposed in a representation associated with a regular state on the C *-algebra of the CCRs. Nevertheless, there is a well-defined method for imposing the constraints in an abstract C *-framework, which yields as its final physical algebra a CCR C *-algebra, on which one can again require its physical states to be regular. These states derive from states on the original C *-algebra which are ‘regular up to nonphysical quantities’.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00398589

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