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Found 47 Documents (Results 1–47)

Self-adjointness and the existence of deterministic trajectories in quantum theory. (English) Zbl 0862.34066

Fannes, Mark (ed.) et al., On three levels. Micro-, meso-, and macro-approaches in physics. Proceedings of a NATO Advanced Research Workshop, Leuven, Belgium, July 19–23, 1993. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 324, 429-434 (1994).
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Scattering and the role of operators in Bohmian mechanics. (English) Zbl 0862.34065

Fannes, Mark (ed.) et al., On three levels. Micro-, meso-, and macro-approaches in physics. Proceedings of a NATO Advanced Research Workshop, Leuven, Belgium, July 19–23, 1993. New York, NY: Plenum Press. NATO ASI Ser., Ser. B, Phys. 324, 331-338 (1994).
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Basis property of root vector functions corresponding to matrix eigenvalues of a matrix Schrödinger operator. (English. Russian original) Zbl 0853.34075

Differ. Equations 30, No. 12, 1886-1896 (1994); translation from Differ. Uravn. 30, No. 12, 2051-2063 (1994).
MSC:  34L10 34L40 47E05
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Componentwise equiconvergence with the trigonometric series of expansions in root vector functions of the Schrödinger operator with matrix potential and diagonal matrix eigenvalue. (English. Russian original) Zbl 0862.34059

Differ. Equations 30, No. 12, 1878-1885 (1994); translation from Differ. Uravn. 30, No. 12, 2043-2050 (1994).
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Composition method for constructing \(B\)-elliptic, \(B\)-hyperbolic, and \(B\)-parabolic transformation operators. (English. Russian original) Zbl 0878.47033

Russ. Acad. Sci., Dokl., Math. 50, No. 1, 70-77 (1995); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 337, No. 3, 307-311 (1994).
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Riesz basis property for root vector functions of the Schrödinger operator with matrix potential and matrix spectral parameter. (English. Russian original) Zbl 0833.34086

Differ. Equations 30, No. 6, 899-911 (1994); translation from Differ. Uravn. 30, No. 6, 972-986 (1994).
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The one-dimensional Schrödinger operator with point interactions. (English. Russian original) Zbl 0831.34088

Russ. Acad. Sci., Dokl., Math. 49, No. 2, 345-349 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 335, No. 4, 421-423 (1994).
MSC:  34L40
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Effective masses for Hill operator and conformal mappings. (English. Russian original) Zbl 0831.34087

Phys.-Dokl. 39, No. 5, 300-303 (1994); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 336, No. 3, 312-315 (1994).
MSC:  34L40 30C20
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Formulae connecting the WKB solutions, the \(S\)-scattering matrix and resonances. (English. Russian original) Zbl 0820.65051

Comput. Math. Math. Phys. 34, No. 4, 499-510 (1994); translation from Zh. Vychisl. Mat. Mat. Fiz. 34, No. 4, 584-596 (1994).
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Adiabatic reduction theory. Semiclassical \(S\)-matrix for \(n\)-state one- dimensional systems. (English) Zbl 0814.34072

Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 307-319 (1994).
MSC:  34L40 81Q05
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Singular perturbations, regularization and extension theory. (English) Zbl 0828.34077

Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 299-305 (1994).
Reviewer: V.Komkov (Roswell)
MSC:  34L40
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Full Text: arXiv

Results in the spectral theory of Schrödinger operators with wide potential barriers. (English) Zbl 0819.34049

Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 27-32 (1994).
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Discrete spectrum of the periodic Schrödinger operator for non-negative perturbations. (English) Zbl 0828.34075

Demuth, Michael (ed.) et al., Mathematical results in quantum mechanics: International conference in Blossin (Germany), May 17-21, 1993. Basel: Birkhäuser Verlag. Oper. Theory, Adv. Appl. 70, 3-7 (1994).
Reviewer: V.Komkov (Roswell)
MSC:  34L40 34L20 47F05
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The role of \(C^*\)-algebras in infinite dimensional numerical linear algebra. (English) Zbl 0817.46051

Doran, Robert S. (ed.), \(C^*\)-Algebras: 1943-1993. A fifty year celebration. AMS special session commemorating the first fifty years of \(C^*\)-algebra theory, January 13-14, 1993, San Antonio, TX, USA. Providence, RI: American Mathematical Society. Contemp. Math. 167, 115-129 (1994).
MSC:  46L05 46L40 65F15
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Full Text: arXiv

Limiting absorption principles for Schrödinger operators with oscillating potentials. (English) Zbl 0897.34072

Alavi, Yousev (ed.) et al., Trends and developments in ordinary differential equations. Proceedings of the international symposium, Kalamazoo, MI, USA, May 20-22, 1993. Singapore: World Scientific. 359-367 (1994).
MSC:  34L40 81Q05
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Geometry of resonance poles for three-dimensional Schrödinger operators with nearly Coulomb potential. (English) Zbl 0896.34067

Alavi, Yousev (ed.) et al., Trends and developments in ordinary differential equations. Proceedings of the international symposium, Kalamazoo, MI, USA, May 20-22, 1993. Singapore: World Scientific. 315-324 (1994).
MSC:  34L40 81Q05
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