Abstract
The definition of theP-representation for certain normal states of theC*-algebra of the CCR and its consequences for a finite and an infinite number of degrees of freedom is studied. It is explicitly shown that the weight function appearing in the integral representation of the finite-dimensional density matrix can take negative values on sets of nonzero measure. For the infinite system, a probabilistic interpretation of normal states imposes consistency conditions on the family of finite-dimensional density matrices, which do not, in general, eliminate the nonpositivity of these weight functions.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
