Coherent-state quantization of constrained fermion systems

European Physical Journal C

Volumn 4, Issue 1, 1998, Pages 173-183

  Junker, Georg ^a   Klauder, John R ^b  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

^b UNIVERSITY OF FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032433404     PISSN: 14346044     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100529800735     Document Type: Article

References (19)

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2. J.R. Klauder, Coherent State Path Integrals for Systems with Constraints, in: V.S. Yarunin and M.A. Smondyrev eds., Path Integrals: Dubna '96, (Joint Institut for Nuclear Research, Dubna, 1996) 51-60 and preprint quant-ph/9607019
3. J.R. Klauder, New Measures for the Quantization of Systems with Constraints, preprint quant-ph/9607020
4. J.R. Klauder, Quantization of Systems with Constraints, preprint quant-ph/9612025
5. J.L. Martin, Generalized classical dynamics, and the 'classical analog' of a Fermi oscillator, Proc. Roy. Soc. London A 251 (1959) 536-542; R. Casalbuoni, The Classical Mechanics for Bose-Fermi Systems, Il Nuovo Cimento 33 A (1976) 389-431
6. J.L. Martin, Generalized classical dynamics, and the 'classical analog' of a Fermi oscillator, Proc. Roy. Soc. London A 251 (1959) 536-542; R. Casalbuoni, The Classical Mechanics for Bose-Fermi Systems, Il Nuovo Cimento 33 A (1976) 389-431
7. M. Henneaux and C. Teitelboim, Quantization of Gauge Systems, (Princeton Univ. Press, Princeton, 1992)
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10. F. Constantinescu and H.F. de Groote, Geometrische und algebraische Methoden der Physik: Supermannigfaltigkeiten und Virasoro-Algebren, (Teubner, Stuttgart, 1994)
11. J.L. Martin, The Feynman principle for a Fermi system, Proc. Roy. Soc. London A 251 (1959) 543-549
12. Y. Ohnuki and T. Kashiwa, Coherent States of Fermi Operators and the Path Integral, Prog. Theor. Phys. 60 (1978) 548-564
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15. P.A.M. Dirac, Lectures on Quantum Mechanics, (Belfer Graduate School of Science, Yeshiva Univ., New York, 1964)
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17. 2, we refer to the discussion in [3]
18. Actually, this operator projects onto the invariant subspace carrying the trivial representation. See, for example, pp. 177-178 in: A.O. Barut and R. Raczka, Theory of Group Representation and Applications, (Polish Scientific Publ., Warzawa, 1980)
19. H. Nicolai, Supersymmetry and spin systems, J. Phys. A 9 (1976) 1497-1506