On the asymptotic behaviour of a quantum two-body system in the small mass ratio limit

Journal of Physics A: Mathematical and General

Volumn 37, Issue 30, 2004, Pages 7567-7580

  Adami, Riccardo ^a   Figari, Rodolfo ^b   Finco, Domenico ^c   Teta, Alessandro ^d  

^a SAPIENZA UNIVERSITY OF ROME   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

^c UNIVERSITY OF BONN   (Germany)

^d UNIVERSITY OF L'AQUILA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 3543013183     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/30/012     Document Type: Article

References (16)

1. [BGJKS] Blanchard Ph, Giulini D, Joos E, Kiefer C and Stamatescu I-O (ed) 2000 Decoherence: Theoretical, Experimental and Conceptual Problems, Lecture Notes in Physics vol 538 (Berlin: Springer)
2. [DFT] Dürr D, Figari R and Teta A 2004 J. Math. Phys. 45 1291-309
3. [GJXKSZ] Giulini D, Joos E, Kiefer C, Kupsch J, Stamatescu I-O and Zeh H D 1996 Decoherence and the Appearance of a Classical World in Quantum Theory (Berlin: Springer)
4. [GF] Gallis M R and Fleming G N 1990 Environmental and spontaneous localization Phys. Rev. A 42 38-48
5. [H] Hagedorn G A 1980 A time dependent Born-Oppenheimer approximation Commun. Math. Phys. 77 1-19
6. [HJ] Hagedorn G A and Joye A 2001 A time-dependent Born-Oppenheimer approximation with exponentially small error estimates Commun. Math. Phys. 223 583-626
7. [HS] Hornberger K and Sipe J E 2003 Collisional decoherence reexamined Phys. Rev. A 68 012105
8. [HUBHAZ] Hornberger K, Uttenhaler S, Brezger B, Hackermüller L, Arndt M and Zeilinger A 2003 Collisional decoherence observed in matter wave interpherometry Phys. Rev. Lett. 90 160401
9. [I] Ikebe T 1960 Eigenfunction expansions associated with the Schrödinger operators and their applications to scattering theory Arch. Ration. Mech. Anal. 5 1-34
10. [JZ] Joos E and Zeh H D 1985 The emergence of classical properties through interaction with the environment Z. Phys. B 59 223-43
11. [M] Mott N F 1929 The wave mechanics of α-ray tracks Proc. R. Soc. Lond. A 126 79-84
12. [RSIII] Reed M and Simon B 1979 Methods of Modern Mathematical Physics. III: Scattering Theory (New York: Academic)
13. [S] Schulman L S 1986 Application of the propagator for the delta function potential Path Integrals from mev to Mev ed M C Gutzwiller, A Ioumata, J K Klauder and L Streit (Singapore: World Scientific) pp 302-11
14. [T] Teufel S 1999 The flux-across-surfaces theorem and its implications for scattering theory PhD Thesis at Ludwig-Maximilians-Universität München
15. [TDM-B] Teufel S, Dürr D and Münch-Berndl K 1999 The flux-across-surfaces theorem for short range potentials and wave functions without energy cutoffs J. Math. Phys. 40 1901-22
16. k,p-continuity of wave operators for Schrödinger operators J. Math. Soc. Japan 47 551-81