Bi-orthogonality of resonance wave functions in NO2

Journal of Physical Chemistry A

Volumn 104, Issue 45, 2000, Pages 10409-10413

  Grebenshchikov, Sergy Yu ^a  

^a MAX PLANCK INSTITUTE FOR DYNAMICS AND SELF ORGANIZATION   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

DISSOCIATION; INTEGRAL EQUATIONS; MATHEMATICAL MODELS; RESONANCE;

WAVE FUNCTIONS;

NITROGEN OXIDES;

EID: 0034323419     PISSN: 10895639     EISSN: None     Source Type: Journal    
DOI: 10.1021/jp001423q     Document Type: Article

References (24)

1. Krimse, B.; Abel, B.; Schwarzer, D.; Grebenshchikov, S. Yu.; Schinke, R. J. Phys. Chem. 2000, 104, 10398, preceding paper.
2. Moldauer, P. A. Phys. Rev. 1967, 157, 907.
3. Simonius, M. Phys. Lett. B 1974, 52, 279.
4. Peskin, U.; Reisler, H.; Miller, W. H. J. Chem. Phys. 1994, 101, 9672.
5. Rotter, I. Rep. Prog. Phys. 1991, 54, 635.
6. Fyodorov, Y. V.; Sommers, H.-J. J. Math. Phys. 1997, 38, 1918.
7. v} is complete, at least in narrow energy windows covered by laser pulses. We shall assume that this condition is satisfied. Completeness of resonance wave functions was discussed in ref 8.
8. Kukulin, V. I.; Krasnopolsky, K. M.; Horácek, J. Theory of Resonances, Principles and Applications; Kluwer: Dordrecht, The Netherlands, 1989.
9. Merzbacher, E. Quantum Mechanics, 2nd ed.; Wiley: New York, 1970.
10. Landau, L. D.; Lifshitz, E. M. Quantum Mechanics. Nonrelativistic Theory; Pergamon: New York, 1976.
11. Baz, A. I.; Zel'dovich, Ya. B.; Perelomov, A. M. Scattering. Reactions, and Decay in Nonrelativistic Quantum Mechanics; Nauka: Moscow, 1971(in Russian).
12. Baker, H. C.; Singleton, R. L. Phys. Rev. A 1990, 42, 10.
13. Tolstikhin, O. I.; Ostrovsky, V. N.; Nakamura, H. Phys. Rev. A 1998, 55, 2077.
14. Keller, H.-M.; Schinke, R. J. Chem. Phys. 1999, 110, 9887.
15. Siegert, A. J. F. Phys. Rev. 1939, 56, 750.
16. Feshbach, H. Ann. Phys. 1962, 19, 287.
17. More, R. M.; Gerjuoy, E. Phys. Rev. A 1973, 7, 1289.
18. Newton, R. Scattering Theory of Waves and Particles; McGraw-Hill: New York, 1966.
19. Grebenshchikov, S. Yu. Manuscript in preparation.
20. Moiseyev, N. Phys. Rep. 1998, 302, 211.
21. v*. This symmetry is due to the time-reversal invariance of the problem.
22. As the boundary condition (14) depends on the wave vector k rather than energy E, S-matrix in this section is considered as a function of k.
23. 11 point out that the linkage between residues of S-matrix and asymptotic behavior of wave functions of bound states was first discussed by H. A. Kramers [Hand und Jahrbuch der Chemischen Physik 1938, I, 312] and (independently) by W. Heisenberg [Z. Naturforsch. 1946, 1, 608].
24. More, R. M. Phys. Rev. A 1971, 4, 1782.