Published September 2005 | Version v1
Journal article

On the non-unitarity of the Bogolyubov transformation due to the quasiparticle space truncation

  • 1. Oak Ridge National Laboratory, Physics Division, Oak Ridge (United States)
  • 2. Joint Institute for Heavy Ion Research, Oak Ridge (United States)
  • 3. University of Tennessee, Department of Physics, Knoxville (United States)
  • 4. University of Warsaw, Institute of Theoretical Physics, Warsaw (Poland)
  • 5. Warsaw University of Technology, Institute of Physics, Warsaw (Poland)
  • 6. Bulgarian Academy of Science, Institute of Nuclear Research and Nuclear Energy, Sofia (Bulgaria)

Description

We show that due to the energy cutoff in the Hartree-Fock-Bogolyubov quasiparticle space, the Bogolyubov transformation becomes non-unitary. We propose a method of restoring the unitarity by introducing a truncated single-particle Hilbert space, in which the HFB equations are to be solved. (orig.)

Availability note (English)

Available from: http://dx.doi.org/10.1140/epjad/i2005-06-151-8

Additional details

Identifiers

Publishing Information

Journal Title
European Physical Journal. A
Journal Volume
25
Journal Issue
Suppl.1
Journal Page Range
p. 541-542
ISSN
1434-6001

Conference

Title
4. international conference on exotic nuclei and atomic masses
Acronym
ENAM '04
Dates
12-16 Sep 2004
Place
Pine Mountain, GA (United States)

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
36103728
Subject category
S73: NUCLEAR PHYSICS AND RADIATION PHYSICS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
BOGOLYUBOV TRANSFORMATION; HARTREE-FOCK-BOGOLYUBOV THEORY; HILBERT SPACE; NUCLEAR STRUCTURE; QUASI PARTICLES; UNITARITY; WAVE EQUATIONS
Descriptors DEC
BANACH SPACE; CANONICAL TRANSFORMATIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL SPACE; PARTIAL DIFFERENTIAL EQUATIONS; SPACE; TRANSFORMATIONS