Sprache: Englisch
Verlag: Amer Mathematical Society, 2005
ISBN 10: 0821836242 ISBN 13: 9780821836248
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Sprache: Englisch
Verlag: American Mathematical Society, US, 2004
ISBN 10: 0821836242 ISBN 13: 9780821836248
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In den WarenkorbHardback. Zustand: New. 2nd. This monograph presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. Both situations-where the strengths of the sources and their locations are precisely known and where these are only known with a given probability distribution-are covered. The authors present a systematic mathematical approach to these models and illustrate its connections with previous heuristic derivations and computations. Results obtained by different methods in disparate contexts are thus unified and a systematic control over approximations to the models, in which the point interactions are replaced by more regular ones, is provided.The first edition of this book generated considerable interest for those learning advanced mathematical topics in quantum mechanics, especially those connected to the Schrodinger equations. This second edition includes a new appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988. appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988. The material is suitable for graduate students and researchers interested in quantum mechanics and Schrodinger operators.
Sprache: Englisch
Verlag: Amer Mathematical Society, 2004
ISBN 10: 0821836242 ISBN 13: 9780821836248
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Zustand: New. Presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. This title is suitable for graduate students and researchers interested in quantum mechanics and Schrodinger operators. Series: AMS Chelsea Publishing. Num Pages: 488 pages, illustrations. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 182 x 259 x 31. Weight in Grams: 1088. . 2004. 2nd Edition. Hardcover. . . . .
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Sprache: Englisch
Verlag: Amer Mathematical Society, 2004
ISBN 10: 0821836242 ISBN 13: 9780821836248
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In den WarenkorbHardcover. Zustand: Brand New. 2nd edition. 488 pages. 9.75x7.00x1.00 inches. In Stock.
Sprache: Englisch
Verlag: Amer Mathematical Society, 2005
ISBN 10: 0821836242 ISBN 13: 9780821836248
Anbieter: Kennys Bookstore, Olney, MD, USA
Zustand: New. Presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. This title is suitable for graduate students and researchers interested in quantum mechanics and Schrodinger operators. Series: AMS Chelsea Publishing. Num Pages: 488 pages, illustrations. BIC Classification: PHQ. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly. Dimension: 182 x 259 x 31. Weight in Grams: 1088. . 2004. 2nd Edition. Hardcover. . . . . Books ship from the US and Ireland.
Sprache: Englisch
Verlag: MP-AMM American Mathematical, 2004
ISBN 10: 0821836242 ISBN 13: 9780821836248
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In den WarenkorbZustand: New. pp. 480.
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Sprache: Englisch
Verlag: American Mathematical Society, 2005
ISBN 10: 0821836242 ISBN 13: 9780821836248
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Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 480 | Sprache: Englisch | Produktart: Bücher | Exactly solvable models, that is, models with explicitly and completely diagonalizable Hamiltonians are too few in number and insufficiently diverse to meet the requirements of modern quantum physics. Quasi-exactly solvable (QES) models (whose Hamiltonians admit an explicit diagonalization only for some limited segments of the spectrum) provide a practical way forward.Although QES models are a recent discovery, the results are already numerous. Collecting the results of QES models in a unified and accessible form, Quasi-Exactly Solvable Models in Quantum Mechanics provides an invaluable resource for physicists using quantum mechanics and applied mathematicians dealing with linear differential equations. By generalizing from one-dimensional QES models, the expert author constructs the general theory of QES problems in quantum mechanics. He describes the connections between QES models and completely integrable theories of magnetic chains, determines the spectra of QES Schrödinger equations using the Bethe-Iansatz solution of the Gaudin model, discusses hidden symmetry properties of QES Hamiltonians, and explains various Lie algebraic and analytic approaches to the problem of quasi-exact solubility in quantum mechanics.Because the applications of QES models are very wide, such as, for investigating non-perturbative phenomena or as a good approximation to exactly non-solvable problems, researchers in quantum mechanics-related fields cannot afford to be unaware of the possibilities of QES models.
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In den WarenkorbZustand: New. In.
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In den WarenkorbZustand: New. pp. xiv + 452 Illus.
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In den WarenkorbPaperback. Zustand: Brand New. 480 pages. 9.02x5.98x1.10 inches. In Stock.
Sprache: Englisch
Verlag: American Mathematical Society, US, 2004
ISBN 10: 0821836242 ISBN 13: 9780821836248
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In den WarenkorbHardback. Zustand: New. 2nd. This monograph presents a detailed study of a class of solvable models in quantum mechanics that describe the motion of a particle in a potential having support at the positions of a discrete (finite or infinite) set of point sources. Both situations-where the strengths of the sources and their locations are precisely known and where these are only known with a given probability distribution-are covered. The authors present a systematic mathematical approach to these models and illustrate its connections with previous heuristic derivations and computations. Results obtained by different methods in disparate contexts are thus unified and a systematic control over approximations to the models, in which the point interactions are replaced by more regular ones, is provided.The first edition of this book generated considerable interest for those learning advanced mathematical topics in quantum mechanics, especially those connected to the Schrodinger equations. This second edition includes a new appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988. appendix by Pavel Exner, who has prepared a summary of the progress made in the field since 1988. His summary, centering around two-body point interaction problems, is followed by a bibliography focusing on essential developments made since 1988. The material is suitable for graduate students and researchers interested in quantum mechanics and Schrodinger operators.
Zustand: New. pp. xiv + 452.
Taschenbuch. Zustand: Neu. Quasi-Exactly Solvable Models in Quantum Mechanics | A. G Ushveridze | Taschenbuch | Einband - flex.(Paperback) | Englisch | 2019 | CRC Press | EAN 9780367402167 | Verantwortliche Person für die EU: Libri GmbH, Europaallee 1, 36244 Bad Hersfeld, gpsr[at]libri[dot]de | Anbieter: preigu.
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In den WarenkorbZustand: New. In.
Sprache: Englisch
Verlag: Springer Verlag, Singapore, Singapore, 2021
ISBN 10: 9811666539 ISBN 13: 9789811666537
Anbieter: Grand Eagle Retail, Bensenville, IL, USA
Hardcover. Zustand: new. Hardcover. This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. An intuitive picture about recently solved models of statistical and quantum mechanics is drawn along with presenting the methods developed to solve them. The models are relevant in the context of molecular processes taking place in gaseous phases and condensed phases, emphasized in the introduction. Chapter 1 derives the arisal of multi-state models for molecular processes from the full Hamiltonian description. The model equations are introduced and the literature review presented in short. In Chapter 2, the time-domain methods to solve Smoluchowski-based reaction-diffusion systems with single-state and two-state descriptions are discussed. Their corresponding analytical results derive new equilibrium concepts in reversible reactions and studies the effect of system and molecular parameters in condensed-phase chemical dynamics. In Chapter 3, time-domain methods to solve quantum scattering problems are developed. Along side introducing a brand new solvable model in quantum scattering, it discusses transient features of quantum two-state models. In interest with electronic transitions, a new solvable two-state model with localized non-adiabatic coupling is also presented. The book concludes by proposing the future scope of the model, thereby inviting new research in this fundamentally important and rich applicable field. This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. Along side introducing a brand new solvable model in quantum scattering, it discusses transient features of quantum two-state models. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
Sprache: Englisch
Verlag: Springer Nature Singapore, 2022
ISBN 10: 9811666563 ISBN 13: 9789811666568
Anbieter: Buchpark, Trebbin, Deutschland
Zustand: Hervorragend. Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | This book highlights the need for studying multi-state models analytically for understanding the physics of molecular processes. An intuitive picture about recently solved models of statistical and quantum mechanics is drawn along with presenting the methods developed to solve them. The models are relevant in the context of molecular processes taking place in gaseous phases and condensed phases, emphasized in the introduction. Chapter 1 derives the arisal of multi-state models for molecular processes from the full Hamiltonian description. The model equations are introduced and the literature review presented in short. In Chapter 2, the time-domain methods to solve Smoluchowski-based reaction-diffusion systems with single-state and two-state descriptions are discussed. Their corresponding analytical results derive new equilibrium concepts in reversible reactions and studies the effect of system and molecular parameters in condensed-phase chemical dynamics. In Chapter 3, time-domain methods to solve quantum scattering problems are developed. Along side introducing a brand new solvable model in quantum scattering, it discusses transient features of quantum two-state models. In interest with electronic transitions, a new solvable two-state model with localized non-adiabatic coupling is also presented. The book concludes by proposing the future scope of the model, thereby inviting new research in this fundamentally important and rich applicable field.¿.
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EUR 168,36
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In den WarenkorbPaperback. Zustand: Brand New. reprint edition. 468 pages. 9.25x6.10x1.10 inches. In Stock.
Anbieter: Books Puddle, New York, NY, USA
Zustand: New. 1st ed. 2021 edition NO-PA16APR2015-KAP.
Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Next to the harmonic oscillator and the Coulomb potential the class of two-body models with point interactions is the only one where complete solutions are available. All mathematical and physical quantities can be calculated explicitly which makes this field of research important also for more complicated and realistic models in quantum mechanics. The detailed results allow their implementation in numerical codes to analyse properties of alloys, impurities, crystals and other features in solid state quantum physics. This monograph presents in a systematic way the mathematical approach and unifies results obtained in recent years. The student with a sound background in mathematics will get a deeper understanding of Schrödinger Operators and will see many examples which may eventually be used with profit in courses on quantum mechanics and solid state physics. The book has textbook potential in mathematical physics and is suitable for additional reading in various fields of theoretical quantum physics.