Asymptotic completeness for particles in combined constant electric and magnetic fields, II
Erik Skibsted
Source: Duke Math. J. Volume 89, Number 2
(1997), 307-350.
First Page:
Show
Hide
Related Works:
Full-text: Access denied (no subscription
detected)
We're sorry, but we are unable to provide
you with the full text of this article because we are not able to identify
you as a subscriber.
If you have a personal subscription to
this journal, then please login. If you are already logged in, then you
may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.dmj/1077241020
Mathematical Reviews number (MathSciNet): MR1460625
Zentralblatt MATH identifier: 01061777
Digital Object Identifier: doi:10.1215/S0012-7094-97-08915-8
References
[AT] T. Adachi and H. Tamura, Asymptotic completeness for long-range many-particle systems with Stark effect. II, Comm. Math. Phys. 174 (1996), no. 3, 537–559.
Mathematical Reviews (MathSciNet): MR96m:81248
Zentralblatt MATH: 0849.35112
Digital Object Identifier: doi:10.1007/BF02101527
Project Euclid: euclid.cmp/1104275485
[ABG] W. O. Amrein, A. M. Boutet de Monvel, and V. Georgescu, Notes on the $N$-body problem: Part I, preprint, Univ. de Genève, UGVA DPT 1988/11-598a.
Mathematical Reviews (MathSciNet): MR978684
[AHS1] J. Avron, I. Herbst, and B. Simon, Schrödinger operators with magnetic fields. I. General interactions, Duke Math. J. 45 (1978), no. 4, 847–883.
Mathematical Reviews (MathSciNet): MR80k:35054
Zentralblatt MATH: 0399.35029
Digital Object Identifier: doi:10.1215/S0012-7094-78-04540-4
Project Euclid: euclid.dmj/1077313102
[AHS2] J. Avron, I. Herbst, and B. Simon, Separation of center of mass in homogeneous magnetic fields, Ann. Physics 114 (1978), no. 1-2, 431–451.
Mathematical Reviews (MathSciNet): MR80a:81050
Zentralblatt MATH: 0409.35027
Digital Object Identifier: doi:10.1016/0003-4916(78)90276-2
[C] W. B. Cheston, Elementary Theory of Electric and Magnetic Fields, John Wiley and Sons, New York, 1964.
[GL1] C. Gérard and I. Łaba, Scattering theory for $N$-particle systems in constant magnetic fields, Duke Math. J. 76 (1994), no. 2, 433–465.
Mathematical Reviews (MathSciNet): MR95m:81209
Zentralblatt MATH: 0828.35098
Digital Object Identifier: doi:10.1215/S0012-7094-94-07615-1
Project Euclid: euclid.dmj/1077286970
[GL2] C. Gérard and I. Łaba, Scattering theory for $N$-particle systems in constant magnetic fields. II. Long-range interactions, Comm. Partial Differential Equations 20 (1995), no. 9-10, 1791–1830.
Mathematical Reviews (MathSciNet): MR96i:81289
Zentralblatt MATH: 0842.35069
Digital Object Identifier: doi:10.1080/03605309508821152
[He] I. Herbst, Temporal exponential decay for the Stark effect in atoms, J. Funct. Anal. 48 (1982), no. 2, 224–251.
Mathematical Reviews (MathSciNet): MR84m:81041
Zentralblatt MATH: 0503.35029
Digital Object Identifier: doi:10.1016/0022-1236(82)90068-4
[HMS1] I. Herbst, J. S. Møller, and E. Skibsted, Spectral analysis of $N$-body Stark Hamiltonians, Comm. Math. Phys. 174 (1995), no. 2, 261–294.
Mathematical Reviews (MathSciNet): MR96m:81048
Zentralblatt MATH: 0846.35095
Digital Object Identifier: doi:10.1007/BF02099603
Project Euclid: euclid.cmp/1104275294
[HMS2] I. Herbst, J. S. Møller, and E. Skibsted, Asymptotic completeness for $N$-body Stark Hamiltonians, Comm. Math. Phys. 174 (1996), no. 3, 509–535.
Mathematical Reviews (MathSciNet): MR96k:81272
Zentralblatt MATH: 0846.35096
Digital Object Identifier: doi:10.1007/BF02101526
Project Euclid: euclid.cmp/1104275484
[Hö1] L. Hörmander, The analysis of linear partial differential operators. I, Springer Study Edition, Springer-Verlag, Berlin, 1990.
Mathematical Reviews (MathSciNet): MR91m:35001b
Zentralblatt MATH: 0712.35001
[Hö2] L. Hörmander, The analysis of linear partial differential operators. III, Grundlehren der Mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol. 274, Springer-Verlag, Berlin, 1985.
Mathematical Reviews (MathSciNet): MR87d:35002a
Zentralblatt MATH: 0601.35001
[M] E. Mourre, Absence of singular continuous spectrum for certain selfadjoint operators, Comm. Math. Phys. 78 (1980/81), no. 3, 391–408.
Mathematical Reviews (MathSciNet): MR82c:47030
Zentralblatt MATH: 0489.47010
Digital Object Identifier: doi:10.1007/BF01942331
Project Euclid: euclid.cmp/1103908694
[PSS] P. Perry, I. M. Sigal, and B. Simon, Spectral analysis of $N$-body Schrödinger operators, Ann. of Math. (2) 114 (1981), no. 3, 519–567.
Mathematical Reviews (MathSciNet): MR83b:81129
Zentralblatt MATH: 0477.35069
Digital Object Identifier: doi:10.2307/1971301
JSTOR: links.jstor.org
[S] E. Skibsted, On the asymptotic completeness for particles in constant electromagnetic fields, Partial differential equations and mathematical physics (Copenhagen, 1995; Lund, 1995), Progr. Nonlinear Differential Equations Appl., vol. 21, Birkhäuser Boston, Boston, MA, 1996, pp. 286–320.
Mathematical Reviews (MathSciNet): MR97d:81206
Zentralblatt MATH: 0865.35127
[T] H. Tamura, Principle of limiting absorption for $N$-body Schrödinger operators—a remark on the commutator method, Lett. Math. Phys. 17 (1989), no. 1, 31–36.
Mathematical Reviews (MathSciNet): MR90b:35066
Zentralblatt MATH: 0719.35065
Digital Object Identifier: doi:10.1007/BF00420011
Duke Mathematical Journal
