Solvable Models in Quantum Mechanics

Häftad, Engelska, 2012

Del i serien Theoretical and Mathematical Physics

1 211 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

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.

Produktinformation

Utgivningsdatum:2012-05-04
Mått:155 x 235 x 26 mm
Vikt:703 g
Format:Häftad
Språk:Engelska
Serie:Theoretical and Mathematical Physics
Antal sidor:452
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642882036

Utforska kategorier

Innehållsförteckning

I The One-Center Point Interaction.- I.1 The One-Center Point Interaction in Three Dimensions.- I.2 Coulomb Plus One-Center Point Interaction in Three Dimensions.- I.3 The One-Center ?-Interaction in One Dimension.- I.4 The One-Center ??-Interaction in One Dimension.- I.5 The One-Center Point Interaction in Two Dimensions.- II Point Interactions with a Finite Number of Centers.- II.1 Finitely Many Point Interactions in Three Dimensions.- II.2 Finitely Many ?-Interactions in One Dimension.- II.3 Finitely Many ??-Interactions in One Dimension.- II.4 Finitely Many Point Interactions in Two Dimensions.- III Point Interactions with Infinitely Many Centers.- III.1 Infinitely Many Point Interactions in Three Dimensions.- III.2 Infinitely Many ?-Interactions in One Dimension.- III.3 Infinitely Many ??-Interactions in One Dimension.- III.4 Infinitely Many Point Interactions in Two Dimensions.- III.5 Random Hamiltonians with Point Interactions.- Appendices.- A Self-Adjoint Extensions of Symmetric Operators.- B Spectral Properties of Hamiltonians Defined as Quadratic Forms.- C Schrödinger Operators with Interactions Concentrated Around Infinitely Many Centers.- D Boundary Conditions for Schrödinger Operators on (0, ?).- E Time-Dependent Scattering Theory for Point Interactions.- F Dirichlet Forms for Point Interactions.- G Point Interactions and Scales of Hilbert Spaces.- H Nonstandard Analysis and Point Interactions.- H.1 A Very Short Introduction to Nonstandard Analysis.- H.2 Point Interactions Using Nonstandard Analysis.- I Elements of Probability Theory.- J Relativistic Point Interactions in One Dimension.- References.

Mer från samma författare

Extreme Events in Nature and Society

Sergio Albeverio, Volker Jentsch, Holger Kantz

Häftad, 2010

554 kr

Operator Methods in Ordinary and Partial Differential Equations

Steffi V. Roettgen, S. Albeverio, Sergio Albeverio, Nils Elander, W. N. Everitt, Pavel Kurasov

Inbunden, 2002

882 kr

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Sergio Albeverio, Jens Erik Fenstad

Häftad, 2009

(1)

336 kr

Ideas and Methods in Mathematical Analysis, Stochastics, and Applications: Volume 1

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrøm

Inbunden, 1992

2 094 kr

Ideas and Methods in Quantum and Statistical Physics: Volume 2

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrom

Inbunden, 1992

2 274 kr

Del 225

A Mathematical Introduction to String Theory

Sergio Albeverio, Jurgen Jost, Sylvie Paycha, Sergio Scarlatti

Häftad, 1997

806 kr

Del 61

Stochastic Processes and their Applications

Sergio Albeverio, Philip Blanchard, L. Streit

Inbunden, 1990

1 102 kr

Del 314

Advances in Analysis, Probability and Mathematical Physics

Sergio Albeverio, Wilhelm A.J. Luxemburg, Manfred P.H. Wolff

Inbunden, 1994

1 649 kr

Noncommutative Distributions

Sergio Albeverio, Raphael J. Hoegh-Krohn, Jean A. Marion, D. Testard, B. Torresani

Inbunden, 1993

4 154 kr

Noncommutative Distributions

B. Torresani, D. Testard, Jean A. Marion, Raphael J. Hoegh-Krohn, Sergio Albeverio

E-bok

1993

4 574 kr

Mer från samma serie

Mechanics and Thermodynamics of Continuous Media

Miroslav Silhavy

Inbunden, 1996

1 102 kr

Quantum Mechanics: Foundations and Applications

Arno Bohm

Häftad, 2001

938 kr

Many-Body Boson Systems

André F. Verbeure

Inbunden, 2010

554 kr

Global and Stochastic Analysis with Applications to Mathematical Physics

Yuri E. Gliklikh

Inbunden, 2010

1 102 kr

Ultracold Quantum Fields

Henk T. C. Stoof, Dennis B. M. Dickerscheid, Koos Gubbels, Henk T. C. Stoof, D. B. M. Dickerscheid

Inbunden, 2009

1 759 kr

Non-Equilibrium Phase Transitions

Malte Henkel, Haye Hinrichsen, Sven Lübeck, Malte Henkel, Haye Hinrichsen

Inbunden, 2009

1 649 kr

Hilbert Space Operators in Quantum Physics

Jirí Blank, Pavel Exner, Miloslav Havlícek

Inbunden, 2008

1 540 kr

Many-Body Boson Systems

André F. Verbeure

Häftad, 2013

554 kr

Global and Stochastic Analysis with Applications to Mathematical Physics

Yuri E. Gliklikh

Häftad, 2013

1 047 kr

Neoclassical Theory of Electromagnetic Interactions

Anatoli Babin, Alexander Figotin

Inbunden, 2016

1 759 kr

Du kanske också är intresserad av

10% rabatt på allt

L'amour toujours : Berättelsen om Tidö

Maggie Strömberg, Torbjörn Nilsson

Inbunden, 2026

275 kr

Solvable Models in Quantum Mechanics

Helge Holden, Raphael Hoegh-Krohn, Friedrich Gesztesy, Sergio Albeverio

E-bok

2012

1 587 kr

Ideas and Methods in Quantum and Statistical Physics: Volume 2

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrom

Inbunden, 1992

2 274 kr

Ideas and Methods in Mathematical Analysis, Stochastics, and Applications: Volume 1

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrøm

Inbunden, 1992

2 094 kr

Nonlinear Partial Differential Equations

Helge Holden, Kenneth H. Karlsen

Inbunden, 2012

1 649 kr

Del 152

Front Tracking for Hyperbolic Conservation Laws

Helge Holden, Nils Henrik Risebro

Häftad, 2019

719 kr

Front Tracking for Hyperbolic Conservation Laws

Nils Henrik Risebro, Helge Holden

E-bok

2015

877 kr

Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl - Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models, Inbunden

Del 114

Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models

Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl

Inbunden, 2008

2 263 kr

Abel Prize 2008-2012

Helge Holden, Ragni Piene

Inbunden, 2014

1 759 kr

Stochastic Partial Differential Equations

Helge Holden, Bernt Oksendal, Jan Uboe, Tusheng Zhang

Häftad, 2012

1 649 kr

Solvable Models in Quantum Mechanics

AvSergio Albeverio,Friedrich Gesztesy

Häftad, Engelska, 2012

Del i serien Theoretical and Mathematical Physics

1 211 kr

Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

Beskrivning

Produktinformation

Utgivningsdatum:2012-05-04
Mått:155 x 235 x 26 mm
Vikt:703 g
Format:Häftad
Språk:Engelska
Serie:Theoretical and Mathematical Physics
Antal sidor:452
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783642882036

Utforska kategorier

Innehållsförteckning

I The One-Center Point Interaction.- I.1 The One-Center Point Interaction in Three Dimensions.- I.2 Coulomb Plus One-Center Point Interaction in Three Dimensions.- I.3 The One-Center ?-Interaction in One Dimension.- I.4 The One-Center ??-Interaction in One Dimension.- I.5 The One-Center Point Interaction in Two Dimensions.- II Point Interactions with a Finite Number of Centers.- II.1 Finitely Many Point Interactions in Three Dimensions.- II.2 Finitely Many ?-Interactions in One Dimension.- II.3 Finitely Many ??-Interactions in One Dimension.- II.4 Finitely Many Point Interactions in Two Dimensions.- III Point Interactions with Infinitely Many Centers.- III.1 Infinitely Many Point Interactions in Three Dimensions.- III.2 Infinitely Many ?-Interactions in One Dimension.- III.3 Infinitely Many ??-Interactions in One Dimension.- III.4 Infinitely Many Point Interactions in Two Dimensions.- III.5 Random Hamiltonians with Point Interactions.- Appendices.- A Self-Adjoint Extensions of Symmetric Operators.- B Spectral Properties of Hamiltonians Defined as Quadratic Forms.- C Schrödinger Operators with Interactions Concentrated Around Infinitely Many Centers.- D Boundary Conditions for Schrödinger Operators on (0, ?).- E Time-Dependent Scattering Theory for Point Interactions.- F Dirichlet Forms for Point Interactions.- G Point Interactions and Scales of Hilbert Spaces.- H Nonstandard Analysis and Point Interactions.- H.1 A Very Short Introduction to Nonstandard Analysis.- H.2 Point Interactions Using Nonstandard Analysis.- I Elements of Probability Theory.- J Relativistic Point Interactions in One Dimension.- References.

Mer från samma författare

Extreme Events in Nature and Society

Sergio Albeverio, Volker Jentsch, Holger Kantz

Häftad, 2010

554 kr

Operator Methods in Ordinary and Partial Differential Equations

Steffi V. Roettgen, S. Albeverio, Sergio Albeverio, Nils Elander, W. N. Everitt, Pavel Kurasov

Inbunden, 2002

882 kr

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

Sergio Albeverio, Jens Erik Fenstad

Häftad, 2009

(1)

336 kr

Ideas and Methods in Mathematical Analysis, Stochastics, and Applications: Volume 1

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrøm

Inbunden, 1992

2 094 kr

Ideas and Methods in Quantum and Statistical Physics: Volume 2

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrom

Inbunden, 1992

2 274 kr

Del 225

A Mathematical Introduction to String Theory

Sergio Albeverio, Jurgen Jost, Sylvie Paycha, Sergio Scarlatti

Häftad, 1997

806 kr

Del 61

Stochastic Processes and their Applications

Sergio Albeverio, Philip Blanchard, L. Streit

Inbunden, 1990

1 102 kr

Del 314

Advances in Analysis, Probability and Mathematical Physics

Sergio Albeverio, Wilhelm A.J. Luxemburg, Manfred P.H. Wolff

Inbunden, 1994

1 649 kr

Noncommutative Distributions

Sergio Albeverio, Raphael J. Hoegh-Krohn, Jean A. Marion, D. Testard, B. Torresani

Inbunden, 1993

4 154 kr

Noncommutative Distributions

B. Torresani, D. Testard, Jean A. Marion, Raphael J. Hoegh-Krohn, Sergio Albeverio

E-bok

1993

4 574 kr

Mer från samma serie

Mechanics and Thermodynamics of Continuous Media

Miroslav Silhavy

Inbunden, 1996

1 102 kr

Quantum Mechanics: Foundations and Applications

Arno Bohm

Häftad, 2001

938 kr

Many-Body Boson Systems

André F. Verbeure

Inbunden, 2010

554 kr

Global and Stochastic Analysis with Applications to Mathematical Physics

Yuri E. Gliklikh

Inbunden, 2010

1 102 kr

Ultracold Quantum Fields

Henk T. C. Stoof, Dennis B. M. Dickerscheid, Koos Gubbels, Henk T. C. Stoof, D. B. M. Dickerscheid

Inbunden, 2009

1 759 kr

Non-Equilibrium Phase Transitions

Malte Henkel, Haye Hinrichsen, Sven Lübeck, Malte Henkel, Haye Hinrichsen

Inbunden, 2009

1 649 kr

Hilbert Space Operators in Quantum Physics

Jirí Blank, Pavel Exner, Miloslav Havlícek

Inbunden, 2008

1 540 kr

Many-Body Boson Systems

André F. Verbeure

Häftad, 2013

554 kr

Global and Stochastic Analysis with Applications to Mathematical Physics

Yuri E. Gliklikh

Häftad, 2013

1 047 kr

Neoclassical Theory of Electromagnetic Interactions

Anatoli Babin, Alexander Figotin

Inbunden, 2016

1 759 kr

Du kanske också är intresserad av

10% rabatt på allt

L'amour toujours : Berättelsen om Tidö

Maggie Strömberg, Torbjörn Nilsson

Inbunden, 2026

275 kr

Solvable Models in Quantum Mechanics

Helge Holden, Raphael Hoegh-Krohn, Friedrich Gesztesy, Sergio Albeverio

E-bok

2012

1 587 kr

Ideas and Methods in Quantum and Statistical Physics: Volume 2

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrom

Inbunden, 1992

2 274 kr

Ideas and Methods in Mathematical Analysis, Stochastics, and Applications: Volume 1

Sergio Albeverio, Helge Holden, Jens Erik Fenstad, Tom Lindstrøm

Inbunden, 1992

2 094 kr

Nonlinear Partial Differential Equations

Helge Holden, Kenneth H. Karlsen

Inbunden, 2012

1 649 kr

Del 152

Front Tracking for Hyperbolic Conservation Laws

Helge Holden, Nils Henrik Risebro

Häftad, 2019

719 kr

Front Tracking for Hyperbolic Conservation Laws

Nils Henrik Risebro, Helge Holden

E-bok

2015

877 kr

Del 114

Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models

Fritz Gesztesy, Helge Holden, Johanna Michor, Gerald Teschl

Inbunden, 2008

2 263 kr

Abel Prize 2008-2012

Helge Holden, Ragni Piene

Inbunden, 2014

1 759 kr

Stochastic Partial Differential Equations

Helge Holden, Bernt Oksendal, Jan Uboe, Tusheng Zhang

Häftad, 2012

1 649 kr