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Sinopsis
Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum.
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Acerca del autor
Dr. Jan Nesemann holds a master’s degree in mathematics as well as in business administration. He received his PhD in mathematics from the University of Bern under the guidance of Prof. Dr. Christiane Tretter. Currently he works as an actuarial and financial services consultant in Zurich.
De la contraportada
Following the pioneering work of Carl M. Bender et al. (1998), there has been an increasing interest in theoretical physics in so-called PT-symmetric Schrödinger operators. In the physical literature, the existence of Schrödinger operators with PT-symmetric complex potentials having real spectrum was considered a surprise and many examples of such potentials were studied in the sequel. From a mathematical point of view, however, this is no surprise at all provided one is familiar with the theory of self-adjoint operators in Krein spaces.
Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum.
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PT-Symmetric Schrödinger Operators with Unbounded Potentials
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Vieweg+Teubner Verlag, 2011
ISBN 10: 3834817627
ISBN 13: 9783834817624
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Librería: Buchpark, Trebbin, Alemania
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Condición: Sehr gut. Zustand: Sehr gut | Seiten: 92 | Sprache: Englisch | Produktart: Bücher. Nº de ref. del artículo: 10770684/12
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PT-Symmetric Schrödinger Operators with Unbounded Potentials
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Vieweg & Teubner Verlag Jul 2011, 2011
ISBN 10: 3834817627
ISBN 13: 9783834817624
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Librería: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Alemania
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Following the pioneering work of Carl M. Bender et al. (1998), there has been an increasing interest in theoretical physics in so-called PT-symmetric Schrödinger operators. In the physical literature, the existence of Schrödinger operators with PT-symmetric complex potentials having real spectrum was considered a surprise and many examples of such potentials were studied in the sequel. From a mathematical point of view, however, this is no surprise at all - provided one is familiar with the theory of self-adjoint operators in Krein spaces.Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum. 92 pp. Englisch. Nº de ref. del artículo: 9783834817624
Cantidad disponible: 2 disponibles
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PT-Symmetric Schrödinger Operators with Unbounded Potentials
Publicado por
Vieweg+Teubner Verlag, 2011
ISBN 10: 3834817627
ISBN 13: 9783834817624
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Librería: AHA-BUCH GmbH, Einbeck, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Following the pioneering work of Carl M. Bender et al. (1998), there has been an increasing interest in theoretical physics in so-called PT-symmetric Schrödinger operators. In the physical literature, the existence of Schrödinger operators with PT-symmetric complex potentials having real spectrum was considered a surprise and many examples of such potentials were studied in the sequel. From a mathematical point of view, however, this is no surprise at all - provided one is familiar with the theory of self-adjoint operators in Krein spaces.Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum. Nº de ref. del artículo: 9783834817624
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PT-Symmetric Schroedinger Operators with Unbounded Potentials
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Vieweg+Teubner Verlag, 2011
ISBN 10: 3834817627
ISBN 13: 9783834817624
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PT-Symmetric Schrodinger Operators with Unbounded Potentials
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Westdeutscher Verlag GmbH, 2011
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PT-Symmetric Schrödinger Operators with Unbounded Potentials (eng)
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Vieweg+Teubner Verlag, 2011
ISBN 10: 3834817627
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Pt-symmetric Schrodinger Operators With Unbounded Potentials
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Vieweg + Teubner Verlag, 2011
ISBN 10: 3834817627
ISBN 13: 9783834817624
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PT-Symmetric Schrödinger Operators with Unbounded Potentials
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Vieweg+Teubner Verlag, Vieweg+Teubner Verlag Jul 2011, 2011
ISBN 10: 3834817627
ISBN 13: 9783834817624
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Librería: buchversandmimpf2000, Emtmannsberg, BAYE, Alemania
Calificación del vendedor: 5 de 5 estrellas
Taschenbuch. Condición: Neu. Neuware -Jan Nesemann studies relatively bounded perturbations of self-adjoint operators in Krein spaces with real spectrum. The main results provide conditions which guarantee the spectrum of the perturbed operator to remain real. Similar results are established for relatively form-bounded perturbations and for pseudo-Friedrichs extensions. The author pays particular attention to the case when the unperturbed self-adjoint operator has infinitely many spectral gaps, either between eigenvalues or, more generally, between separated parts of the spectrum.Springer Vieweg in Springer Science + Business Media, Abraham-Lincoln-Straße 46, 65189 Wiesbaden 92 pp. Englisch. Nº de ref. del artículo: 9783834817624
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