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Eigenfunctions and eigenvalues of the q-differential operators

Journal Article · · Hadronic J.; (United States)
OSTI ID:6446649
 [1]; ;
  1. Univ. of Patras, Greece
+ Show Author Affiliations
In this paper we study the eigenfunctions and eigenvalues of the so-called q-differential operators, which are defined with respect to the product (R,T) = RT -qTR, where q is an element of the field and R and T are operators in a Hilbert space. Our results are shown to be applicable to the Caldirola-Montaldi equation for the case of electrons under quantum friction. The Lie-admissibility of the product is indicated.
OSTI ID:
6446649
Journal Information:
Hadronic J.; (United States), Journal Name: Hadronic J.; (United States) Vol. 3:6; ISSN HAJOD
Country of Publication:
United States
Language:
English

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Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BANACH SPACE
EIGENFUNCTIONS
EIGENVALUES
FIELD THEORIES
FUNCTIONS
HILBERT SPACE
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE
SYMMETRY GROUPS