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Found 168 Documents (Results 1–100)

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On non self-adjoint operators defined by Riesz bases in Hilbert and rigged Hilbert spaces. (English) Zbl 07084889

Katz, Alexander (ed.), Topological algebras and their applications. Proceedings of the 8th international conference on topological algebras and their applications (ICTAA-2014), May 26–30, 2014, Playa de Villas de Mar Beach, Dominican Republic. Dedicated to the memory of Anastasios Mallios. Berlin: De Gruyter. De Gruyter Proc. Math., 29-54 (2018).
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Splitting enables overcoming the curse of dimensionality. (English) Zbl 1372.65190

Glowinski, Roland (ed.) et al., Splitting methods in communication and imaging, science, and engineering. Cham: Springer (ISBN 978-3-319-41587-1/hbk; 978-3-319-41589-5/ebook). Scientific Computation, 427-432 (2016).
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On the theory of \(\mathcal{PT}\)-symmetric operators. (English. Russian original) Zbl 1275.47085

Ukr. Math. J. 64, No. 1, 35-55 (2012); translation from Ukr. Mat. Zh. 64, No. 1, 32-49 (2012).
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On pseudo-Hermitian operators with generalized \(\mathcal C\)-symmetries. (English) Zbl 1194.47018

Adamyan, Vadim (ed.) et al., Modern analysis and applications. The Mark Krein centenary conference. Volume 1: Operator theory and related topics. Papers based on invited talks at the international conference on modern analysis and applications, Odessa, Ukraine, April 9–14, 2007. Basel: Birkhäuser (ISBN 978-3-7643-9918-4/v.1; 978-3-7643-9919-1/ebook; 978-3-7643-9924-5/set). Operator Theory: Advances and Applications 190, 375-385 (2009).
MSC:  47A55 81Q05 81Q15
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On the existence of wave operators. (English) Zbl 1047.47007

Kubrusly, Carlos (ed.) et al., Semigroups of operators: theory and applications. Proceedings of the 2nd international conference, Rio de Janeiro, Brazil, September 10–14, 2001. New York, NY: Optimization Software Inc., Publications (ISBN 0-911575-11-1/hbk). 300-329 (2002).
MSC:  47A40
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Multiparticle quantum scattering in constant magnetic fields. (English) Zbl 1044.81123

Mathematical Surveys and Monographs 90. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2919-X). xiii, 242 p. (2002).
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Nonperturbative techniques in the investigation of the spectral properties of many-channel systems. (English) Zbl 1024.47050

Demuth, Michael (ed.) et al., Partial differential equations and spectral theory. Proceedings of the PDE 2000 conference, Clausthal, Germany, July 24-28, 2000. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 126, 155-163 (2001).
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Twist maps, kicked rotors, and quantum chaos. (English) Zbl 0984.35116

Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 29, 377-383 (2000).
MSC:  35P05 81Q50
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Absolute continuity of convolutions of singular measures and new branches of spectrum of Liouvillians and few-body Hamiltonians. (English) Zbl 0949.47025

Antoniou, Ioannis (ed.) et al., Generalized functions, operator theory, and dynamical systems. Boca Raton, FL: Chapman & Hall/CRC. Chapman Hall/CRC Res. Notes Math. 399, 308-322 (1999).
MSC:  47B38 47A10 28A12
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Stability of the upper bound of a spectrum under perturbations by diagonal matrices for a class of self-adjoint operators. (English. Russian original) Zbl 0931.47012

Russ. Math. Surv. 53, No. 2, 406-407 (1998); translation from Usp. Mat. Nauk 53, No. 2, 163-164 (1998).
MSC:  47A55 47B25
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Canonical systems with a semibounded spectrum. (English) Zbl 0917.34015

Dijksma, A. (ed.) et al., Contributions to operator theory in spaces with an indefinite metric. The Heinz Langer anniversary volume on the occasion of his 60th birthday. Basel: Birkhäuser. Oper. Theory, Adv. Appl. 106, 397-417 (1998).
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Essential spectrum and \(SO(2)\)-symmetry of the energy operators of the quantum systems with nonincreasing magnetic field. (English) Zbl 0887.35109

Greiner, Peter C. (ed.) et al., Partial differential equations and their applications. Lectures given at the 1995 annual seminar of the Canadian Mathematical Society, Toronto, Canada, June 12–23, 1995. Providence, RI: American Mathematical Society. CRM Proc. Lect. Notes. 12, 307-315 (1997).
MSC:  35P05 35J10 81V70
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Multipartical quantum systems in constant magnetic fields. (English) Zbl 0873.47043

Truhlar, Donald G. (ed.) et al., Multiparticle quantum scattering with applications to nuclear, atomic and molecular physics. Proceedings of a workshop at the Univ. of Minnesota, Minneapolis, MN, USA, June 12–16, 1995. New York, NY: Springer. IMA Vol. Math. Appl. 89, 147-215 (1997).
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Rigorous covariant form of the correspondence principle. (English) Zbl 0855.47049

Arveson, William (ed.) et al., Quantization, nonlinear partial differential equations, and operator algebra. 1994 John von Neumann symposium on quantization and nonlinear wave equations, June 7-11, 1994, MIT, Cambridge, MA, USA. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 59, 175-202 (1996).
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Generating the spectrum of nonlinear Hamiltonians. (English) Zbl 0864.58048

Gruber, Bruno (ed.) et al., Symmetries in science VII: Spectrum-generating algebras and dynamic symmetries in physics. Proceedings of a symposium held in Nakajo, Japan, August 28-31, 1992. New York, NY: Plenum Press. 39-48 (1993).
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On the finiteness of the discrete spectrum of the Schrödinger operator for a three-particle system with unstable two-particle subsystems in a homogeneous magnetic field. (English. Russian original) Zbl 0836.47050

Funct. Anal. Appl. 27, No. 2, 144-145 (1993); translation from Funkts. Anal. Prilozh. 27, No. 2, 83-84 (1993).
Reviewer: H.Yamagata (Osaka)
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Hypercontractivity: A bibliographic review. (English) Zbl 0790.46055

Albeverio, Sergio (ed.) et al., Ideas and methods in quantum and statistical physics. In memory of Raphael Hœgh-Krohn (1938-1988). Volume 2. Cambridge: Cambridge University Press. 370-389 (1992).
Reviewer: H.Yamagata (Osaka)
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Some developments and applications of the abstract Mourre theory. (English) Zbl 0811.47005

Robert, D. (ed.), Méthodes semi-classiques, Volume 2. Colloque international (Nantes, juin 1991). Paris: Société Mathématique de France, Astérisque. 210, 27-48 (1992).
MSC:  47A40 47D06
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A remark on asymptotic clustering for \(N\)-particle quantum systems. (English) Zbl 0784.47055

Balslev, Erik (ed.), Schrödinger operators. The quantum mechanical many-body problem. Proceedings of a workshop, held at Aarhus, Denmark, 15 May - 1 August, 1991. Berlin: Springer-Verlag. Lect. Notes Phys. 403, 73-78 (1992).
MSC:  47N50 81U10 47A40
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