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The construction of c-number fields and their nonlinear equations of motion for quantum many-body fermion systems
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UNSPECIFIED (1998) The construction of c-number fields and their nonlinear equations of motion for quantum many-body fermion systems. PHYSICS LETTERS A, 250 (4-6). pp. 394-402. ISSN 0375-9601.
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Abstract
A k-dependent state has been constructed from two pairs of mutually commuting Fermi-Dirac operators by replacing the Grassmann numbers in the conventional definition of a fermion coherent state. The Heisenberg time-dependent form of this state was then combined with a particular spin state to give a resultant state \G], the spin component containing a series of unknown k-dependent weights. A classical c-number field, phi(c),(r, t), was then defined by an expectation value of the quantum field, psi, using \G] and an energy and time-dependent phase. It is demonstrated that the form of the equation of motion for phi(c)(r, t) is identical to that for psi. (C) 1998 Elsevier Science B.V.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QC Physics | ||||
Journal or Publication Title: | PHYSICS LETTERS A | ||||
Publisher: | ELSEVIER SCIENCE BV | ||||
ISSN: | 0375-9601 | ||||
Official Date: | 28 December 1998 | ||||
Dates: |
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Volume: | 250 | ||||
Number: | 4-6 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 394-402 | ||||
Publication Status: | Published |
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