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Title: The new integrals in the complex plane resulting from the coherent state formalism

From the geometric point of view, it exists a one-to-one correspondence between the coherent states (CSs) | z, λ > and the points in the complex plane z. Consequently, the eigenvalues of the quantum operators will be numbers in the complex plane. In the paper we have deduced some new useful integrals in the complex plane - by using the expression of the Husimi's function for some oscillators: the harmonic and the pseudoharmonic one.
Authors:
;  [1] ;  [2]
  1. Politehnica University of Timişoara, Department of Physical Foundation of Engineering, 2 Vasile Pârvan Blvd., 300223 Timişoara (Romania)
  2. Politehnica University of Timişoara, Faculty of Communication Sciences, 2A Traian Lalescu St, 300223 Timişoara (Romania)
Publication Date:
OSTI Identifier:
22280646
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1564; Journal Issue: 1; Conference: TIM 2012 physics conference, Timisoara (Romania), 27-30 Nov 2012; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANNIHILATION OPERATORS; EIGENSTATES; EIGENVALUES; GEOMETRY; INTEGRALS; OSCILLATORS; QUANTUM MECHANICS