Are N = 1 and N = 2 supersymmetric quantum mechanics equivalent?

Journal of Physics A: Mathematical and General

Volumn 37, Issue 43, 2004, Pages 10385-10396

  Combescure, Monique ^a   Gieres, François ^a   Kibler, Maurice ^a  

^a UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 8744224280     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/43/025     Document Type: Conference Paper

References (21)

1. Nicolai H 1976 Supersymmetry and spin systems J. Phys. A: Math. Gen. 9 1497
2. Witten E 1981 Dynamical breaking of supersymmetry Nucl. Phys. B 188 513 Witten E 1982 Constraints on supersymmetry breaking Nucl. Phys. B 202 253 Witten E 1982 Supersymmetry and Morse theory J. Differ. Geom. 17 661
3. Witten E 1981 Dynamical breaking of supersymmetry Nucl. Phys. B 188 513 Witten E 1982 Constraints on supersymmetry breaking Nucl. Phys. B 202 253 Witten E 1982 Supersymmetry and Morse theory J. Differ. Geom. 17 661
4. Witten E 1981 Dynamical breaking of supersymmetry Nucl. Phys. B 188 513 Witten E 1982 Constraints on supersymmetry breaking Nucl. Phys. B 202 253 Witten E 1982 Supersymmetry and Morse theory J. Differ. Geom. 17 661
5. Cooper F, Khare A and Sukhatme U 2001 Supersymmetry in Quantum Mechanics (Singapore: World Scientific) Bagchi B K 2001 Supersymmetry in Quantum and Classical Mechanics (London: Chapman and Hall) Junker G 1996 Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer)
6. Cooper F, Khare A and Sukhatme U 2001 Supersymmetry in Quantum Mechanics (Singapore: World Scientific) Bagchi B K 2001 Supersymmetry in Quantum and Classical Mechanics (London: Chapman and Hall) Junker G 1996 Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer)
7. Cooper F, Khare A and Sukhatme U 2001 Supersymmetry in Quantum Mechanics (Singapore: World Scientific) Bagchi B K 2001 Supersymmetry in Quantum and Classical Mechanics (London: Chapman and Hall) Junker G 1996 Supersymmetric Methods in Quantum and Statistical Physics (Berlin: Springer)
8. Cycon H L, Froese R G, Kirsch W and Simon B 1987 Schrödinger Operators-with Applications to Quantum Mechanics and Global Geometry (Berlin: Springer)
9. Vasilescu F-H 1983 Anticommuting self-adjoint operators Rev. Roum. Math. Pure. Appl. 28 77 Pedersen S 1990 Anticommuting self-adjoint operators J. Funct. Anal. 89 428 Arai A 1994 Analysis on anticommuting self-adjoint operators Spectral and Scattering Theory and Applications (Advanced Studies in Pure Mathematics vol 23) ed K Yajima (Mathematical Society of Japan)
10. Vasilescu F-H 1983 Anticommuting self-adjoint operators Rev. Roum. Math. Pure. Appl. 28 77 Pedersen S 1990 Anticommuting self-adjoint operators J. Funct. Anal. 89 428 Arai A 1994 Analysis on anticommuting self-adjoint operators Spectral and Scattering Theory and Applications (Advanced Studies in Pure Mathematics vol 23) ed K Yajima (Mathematical Society of Japan)
11. Vasilescu F-H 1983 Anticommuting self-adjoint operators Rev. Roum. Math. Pure. Appl. 28 77 Pedersen S 1990 Anticommuting self-adjoint operators J. Funct. Anal. 89 428 Arai A 1994 Analysis on anticommuting self-adjoint operators Spectral and Scattering Theory and Applications (Advanced Studies in Pure Mathematics vol 23) ed K Yajima (Mathematical Society of Japan)
12. Wess J and Bagger J 1983 Supersymmetry and Supergravity (Princeton, NJ: Princeton University Press)
13. Berezin F A 1987 Introduction to Superanalysis (Mathematical Physics and Applied Mathematics vol 9) (Dordrecht: Reidel)
14. Thaller B 1992 The Dirac Equation (Berlin: Springer)
15. Rau A R P Supersymmetry in quantum mechanics: an extended view Preprint quant-ph/0401150 Rau A R P Talk presented at the Conf. Progress in Supersymmetric Quantum Mechanics (Valladolid, 15-19 July 2003)
16. Rau A R P Supersymmetry in quantum mechanics: an extended view Preprint quant-ph/0401150 Rau A R P Talk presented at the Conf. Progress in Supersymmetric Quantum Mechanics (Valladolid, 15-19 July 2003)
17. Plyushchay M 2000 Hidden nonlinear supersymmetries in pure parabosonic systems Int. J. Mod. Phys. A 15 3679
18. de Crombrugghe M and Rittenberg V 1983 Supersymmetric quantum mechanics Ann. Phys., NY 151 99
19. Gieres F and Lefrançois M The general structure of supersymmetric quantum mechanics (and of some of its generalizations), in preparation
20. Combescure M and Gieres F in preparation
21. Davies E B 1995 Spectral Theory and Differential Operators (Cambridge University Press: UK)