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Towards a Coupled Cluster Gauge-Field Approach to Quantum Hydrodynamics

  • J. Arponen
  • R. F. Bishop
  • E. Pajanne
  • N. I. Robinson

Abstract

The extended coupled cluster method (ECCM)1,2 has been discussed in an earlier volume of this series,3 where it was also applied to provide an effective gauge-field description of a charged impurity in a polarisable medium (e.g. positron in a metal).4 The purpose of the present paper is to apply the ECCM and comparable gauge field techniques to the zero-temperature condensed Bose fluid, in the most general case of arbitrary spatial inhomogeneity and arbitrary time dependence. Our principal aim is to derive the appropriate hydrodynamical balance equations for such local observables as the number density, current density and energy density. This is achieved by coupling the system to scalar and vector gauge fields, so that the theory may then be formulated in a completely gauge-invariant fashion to take fully into account the underlying U(l) symmetry imposed by number conservation.

Keywords

Gauge Field Kinetic Energy Density Couple Cluster Method Condensed Matter Theory Local Rest Frame 
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Copyright information

© Plenum Press, New York 1988

Authors and Affiliations

  • J. Arponen
    • 1
  • R. F. Bishop
    • 2
  • E. Pajanne
    • 3
  • N. I. Robinson
    • 2
  1. 1.Department of Theoretical PhysicsUniversity of HelsinkiHelsinkiFinland
  2. 2.Department of MathematicsUniversity of Manchester Institute of Science and TechnologyManchesterEngland
  3. 3.Research Institute for Theoretical PhysicsHelsinkiFinland

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