Susy quantum mechanics with complex superpotentials and real energy spectra

International Journal of Modern Physics A

Volumn 14, Issue 17, 1999, Pages 2675-2688

  Andrianov, A A ^a   Ioffe, M V ^a   Cannata, F ^b   Dedonder, J P ^c,d  

^a ST PETERSBURG STATE UNIVERSITY   (Russian Federation)

^b INFN SEZIONE DI BOLOGNA   (Italy)

^c UNIVERSITÉ PARIS DESCARTES   (France)

^d 91405 Orsay Campus   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000116460     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X99001342     Document Type: Article

References (31)

1. C. Itzykson and J.-M. Drouffe, Statistical Field Theory (Cambridge University Press, Cambridge, 1989), Vol. 1, Subsec. 3.2.
2. J. Feinberg and A. Zee, preprint cond-mat/9706218.
3. D. R. Nelson and N. M. Shnerb, preprint cond-mat/9708071.
4. H. Feshbach, Theoretical Nuclear Theory: Nuclear Reactions (Wiley, New York, 1992).
5. D. Baye, G. Levai and J.-M. Sparenberg, Nucl. Phys. A599, 435 (1996).
6. C. M. Bender and S. Boettcher, preprints physics/9712001; physics/9801007.
7. E. Witten, Nucl. Phys. B188, 513 (1981); ibid. B202, 253 (1982); A. Lahiri, P. K. Roy and B. Bagghi, Int. J. Mod. Phys. A5, 1383 (1990); F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 25, 268 (1995); A. A. Andrianov, N. V. Borisov and M. V. Ioffe, Phys. Lett. A105, 19 (1984); R. D. Amado, F. Cannata and J. P. Dedonder, Phys. Rev. C41, 1289 (1990); Int. J. Mod. Phys. A5, 3401 (1990) and references therein.
8. E. Witten, Nucl. Phys. B188, 513 (1981); ibid. B202, 253 (1982); A. Lahiri, P. K. Roy and B. Bagghi, Int. J. Mod. Phys. A5, 1383 (1990); F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 25, 268 (1995); A. A. Andrianov, N. V. Borisov and M. V. Ioffe, Phys. Lett. A105, 19 (1984); R. D. Amado, F. Cannata and J. P. Dedonder, Phys. Rev. C41, 1289 (1990); Int. J. Mod. Phys. A5, 3401 (1990) and references therein.
9. E. Witten, Nucl. Phys. B188, 513 (1981); ibid. B202, 253 (1982); A. Lahiri, P. K. Roy and B. Bagghi, Int. J. Mod. Phys. A5, 1383 (1990); F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 25, 268 (1995); A. A. Andrianov, N. V. Borisov and M. V. Ioffe, Phys. Lett. A105, 19 (1984); R. D. Amado, F. Cannata and J. P. Dedonder, Phys. Rev. C41, 1289 (1990); Int. J. Mod. Phys. A5, 3401 (1990) and references therein.
10. E. Witten, Nucl. Phys. B188, 513 (1981); ibid. B202, 253 (1982); A. Lahiri, P. K. Roy and B. Bagghi, Int. J. Mod. Phys. A5, 1383 (1990); F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 25, 268 (1995); A. A. Andrianov, N. V. Borisov and M. V. Ioffe, Phys. Lett. A105, 19 (1984); R. D. Amado, F. Cannata and J. P. Dedonder, Phys. Rev. C41, 1289 (1990); Int. J. Mod. Phys. A5, 3401 (1990) and references therein.
11. E. Witten, Nucl. Phys. B188, 513 (1981); ibid. B202, 253 (1982); A. Lahiri, P. K. Roy and B. Bagghi, Int. J. Mod. Phys. A5, 1383 (1990); F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 25, 268 (1995); A. A. Andrianov, N. V. Borisov and M. V. Ioffe, Phys. Lett. A105, 19 (1984); R. D. Amado, F. Cannata and J. P. Dedonder, Phys. Rev. C41, 1289 (1990); Int. J. Mod. Phys. A5, 3401 (1990) and references therein.
12. E. Witten, Nucl. Phys. B188, 513 (1981); ibid. B202, 253 (1982); A. Lahiri, P. K. Roy and B. Bagghi, Int. J. Mod. Phys. A5, 1383 (1990); F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 25, 268 (1995); A. A. Andrianov, N. V. Borisov and M. V. Ioffe, Phys. Lett. A105, 19 (1984); R. D. Amado, F. Cannata and J. P. Dedonder, Phys. Rev. C41, 1289 (1990); Int. J. Mod. Phys. A5, 3401 (1990) and references therein.
13. E. Witten, Nucl. Phys. B188, 513 (1981); ibid. B202, 253 (1982); A. Lahiri, P. K. Roy and B. Bagghi, Int. J. Mod. Phys. A5, 1383 (1990); F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 25, 268 (1995); A. A. Andrianov, N. V. Borisov and M. V. Ioffe, Phys. Lett. A105, 19 (1984); R. D. Amado, F. Cannata and J. P. Dedonder, Phys. Rev. C41, 1289 (1990); Int. J. Mod. Phys. A5, 3401 (1990) and references therein.
14. A. A. Andrianov, F. Cannata, J.-P. Dedonder and M. V. Ioffe, Int. J. Mod. Phys. A10, 2683 (1995).
15. A. A. Andrianov, F. Cannata, M. V. Ioffe and D. N. Nishnianidze, J. Phys. A: Math. Gen. A30, 5037 (1997).
16. J. W. Dabrowska, A. Khare and U. P. Sukhatme, J. Phys. A: Math. Gen. A21, L195 (1988).
17. G. L. Lamb Jr., Elements of Soliton Theory (John Wiley and Sons, New York), 1980.
18. C. M. Bender and A. Turbiner, Phys. Lett. A173, 442 (1993).
19. B. Simon, Quantum Mechanics for Hamiltonians Defined as Quadratic Forms (Princeton University Press, Princeton, New Jersey, 1971), Chap. 3.
20. A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, New York, 1969), Vol. 1, Secs. 1-2c and App. IB.
21. C. M. Bender and K. A. Milton, Phys. Rev. D57, 3595 (1998); M. P. Blencowe, H. F. Jones and A. P. Korte, Phys. Rev. D57, 5092 (1998).
22. C. M. Bender and K. A. Milton, Phys. Rev. D57, 3595 (1998); M. P. Blencowe, H. F. Jones and A. P. Korte, Phys. Rev. D57, 5092 (1998).
23. A. G. Sitenko, Scattering Theory (Springer-Verlag, Berlin, 1990).
24. H. J. Korsch, H. Laurent and R. Moehlenkamp, J. Phys. B: At. Mol. Phys. B15, 1 (1982); E. Clayton and G. H. Derrick, Aust. J. Phys. 30, 15 (1977); A. D. Isaacson, C. W. McCurdy and W. H. Miller, Chemical Phys. 34, 311 (1978).
25. H. J. Korsch, H. Laurent and R. Moehlenkamp, J. Phys. B: At. Mol. Phys. B15, 1 (1982); E. Clayton and G. H. Derrick, Aust. J. Phys. 30, 15 (1977); A. D. Isaacson, C. W. McCurdy and W. H. Miller, Chemical Phys. 34, 311 (1978).
26. H. J. Korsch, H. Laurent and R. Moehlenkamp, J. Phys. B: At. Mol. Phys. B15, 1 (1982); E. Clayton and G. H. Derrick, Aust. J. Phys. 30, 15 (1977); A. D. Isaacson, C. W. McCurdy and W. H. Miller, Chemical Phys. 34, 311 (1978).
27. S. A. Rakityansky and S. A. Sofianos, J. Phys. A: Math. Gen. A31, 5149 (1998).
28. E. L. Ince, Ordinary Differential Equations (Dover Publications, Inc., New York, 1956).
29. A. B. Balantekin, J. E. Seger and S. H. Fricke, Int. J. Mod. Phys. A6, 695 (1991); R. G. Unanyan, Sov. Phys. JETP 74, 781 (1992); J. F. Beacom and A. B. Balantekin, preprint hep-th/9709117.
30. A. B. Balantekin, J. E. Seger and S. H. Fricke, Int. J. Mod. Phys. A6, 695 (1991); R. G. Unanyan, Sov. Phys. JETP 74, 781 (1992); J. F. Beacom and A. B. Balantekin, preprint hep-th/9709117.
31. A. B. Balantekin, J. E. Seger and S. H. Fricke, Int. J. Mod. Phys. A6, 695 (1991); R. G. Unanyan, Sov. Phys. JETP 74, 781 (1992); J. F. Beacom and A. B. Balantekin, preprint hep-th/9709117.