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Träfflista för sökning "WFRF:(Albeverio Sergio) srt2:(2005-2009)"

Search: WFRF:(Albeverio Sergio) > (2005-2009)

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2.
  • Albeverio, Sergio, et al. (author)
  • On *-representations of a deformation of a Wick analogue of the CAR algebra
  • 2005
  • In: Reports on Mathematical Physics. - 0034-4877. ; 56:2, s. 175-196-196
  • Journal article (peer-reviewed)abstract
    • The classification of irreducible *-representations of deformations of canonical anti-commutation relations is given. A description of the corresponding enveloping C*-algebra is presented in terms of continuous matrix-functions satisfying certain boundary conditions.
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3.
  • Albeverio, Sergio, et al. (author)
  • p-Adic valued quantization
  • 2009
  • In: P-Adic Numbers, Ultrametric Analysis, and Applications. - Berlin : Springer. - 2070-0466 .- 2070-0474. ; 1:2, s. 91-104
  • Research review (peer-reviewed)abstract
    • This review covers an important domain of p-adic mathematical physics — quantum mechanics with p-adic valued wave functions. We start with basic mathematical constructions of this quantum model: Hilbert spaces over quadratic extensions of the field of p-adic numbers ℚ p , operators — symmetric, unitary, isometric, one-parameter groups of unitary isometric operators, the p-adic version of Schrödinger’s quantization, representation of canonical commutation relations in Heisenberg andWeyl forms, spectral properties of the operator of p-adic coordinate.We also present postulates of p-adic valued quantization. Here observables as well as probabilities take values in ℚ p . A physical interpretation of p-adic quantities is provided through approximation by rational numbers.
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