KOBV-Portal

Treffer pro Seite

Treffer 1 - 2 | 2 Treffer

Sortierung

Online-Ressource

Quantum Mechanics : An Enhanced Primer (2022)

Reed, Bruce Cameron. ; SpringerLink 〈Online service〉

Cham :Springer International Publishing :

zur Merkliste hinzufügen auf der Merkliste

Details

UID:

almahu_9949406995802882

Umfang: XIII, 401 p. 84 illus., 3 illus. in color. , online resource.

Ausgabe: 2nd ed. 2022.

ISBN: 9783031140204

Inhalt: Quantum mechanics is one of the most fascinating elements of the physics curriculum, but its conceptual nuances and mathematical complexity can be daunting for beginning students. This user-friendly text is designed for a one-semester course which bridges the gap between sophomore-level treatments and advanced undergraduate/lower-graduate courses. Qualitative explanations and descriptions of historical background are combined with detailed mathematical analyses to help students establish a firm foundation for further study. Classical problems such potential wells, barrier penetration, alpha decay, the harmonic oscillator, and the hydrogen atom are examined in detail, and formalisms and techniques such as operators, expectation values, commutators, perturbation theory, numerical solutions, and the variational theorem are also covered. Particular emphasis is placed on providing numerous worked examples and exercises.

Anmerkung: Foundations -- Schrödinger's equation -- Schrödinger's Equation in One Dimension -- Operators, Expectation Values, and Various Quantum Theories -- The Harmonic Oscillator -- Schrödinger's equation in Three Dimensions and the Quantum Theory of Angular Momentum -- Central Potentials.

In: Springer Nature eBook

Weitere Ausg.: Printed edition: ISBN 9783031140198

Weitere Ausg.: Printed edition: ISBN 9783031140211

Sprache: Englisch

Fachgebiete: Physik

RVK:

UK 1000

DOI: 10.1007/978-3-031-14020-4

URL: https://doi.org/10.1007/978-3-031-14020-4

URL: lizenzpflichtig

URL: Volltext (URL des Erstveröffentlichers)

Bookmarklink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Online-Ressource

Online Zugang

Open Access Wunsch

HU Berlin

UB Potsdam

TH Brandenburg

Online-Ressource

Quantum mechanics : an enhanced primer (2022)

Reed, Bruce Cameron,

Cham, Switzerland :Springer,

zur Merkliste hinzufügen auf der Merkliste

Details

UID:

almafu_9960943505502883

Umfang: 1 online resource (407 pages)

Ausgabe: Second edition.

ISBN: 9783031140204

Anmerkung: Intro -- Preface -- Contents -- About the Author -- 1 Foundations -- 1.1 Faraday, Thomson, and Electrons -- 1.2 Spectra, Radiation, and Planck -- 1.3 The Rutherford-Bohr Atom -- 1.4 de Broglie Matter Waves -- 1.5 The Radiative Collapse Problem (Optional) -- References -- 2 Schrödinger's Equation -- 2.1 The Classical Wave Equation -- 2.2 The Time-Independent Schrödinger Equation -- 2.3 The Time-Dependent Schrödinger Equation -- 2.4 Interpretation of ψ: Probabilities and Boundary Conditions -- References -- 3 Solutions of Schrödinger's Equation in One Dimension -- 3.1 Concept of a Potential Well -- 3.2 The Infinite Potential Well -- 3.3 The Finite Potential Well -- 3.3.1 A Matrix Approach to the Finite Potential Well -- 3.4 Finite Potential Well-Even Solutions -- 3.5 Number of Bound States in a Finite Potential Well -- 3.6 Sketching Wavefunctions -- 3.7 Potential Barriers and Scattering -- 3.8 Penetration of Arbitrarily-Shaped Barriers -- 3.9 Alpha-Decay as a Barrier Penetration Effect -- 3.10 Scattering by One-Dimensional Potential Wells -- References -- 4 Operators, Expectation Values, and Various Quantum Theories -- 4.1 Properties of Operators -- 4.2 Expectation Values -- 4.3 The Uncertainty Principle -- 4.4 Commutators and Uncertainty Relations -- 4.5 Ehrenfest's Theorem -- 4.6 The Orthogonality Theorem -- 4.7 The Superposition Theorem -- 4.8 Constructing a Time-Dependent Wave Packet -- 4.9 The Virial Theorem -- 4.10 Momentum-Space Wavefunctions -- References -- 5 The Harmonic Oscillator -- 5.1 A Lesson in Dimensional Analysis -- 5.2 The Asymptotic Solution -- 5.3 The Series Solution -- 5.4 Hermite Polynomials and Harmonic Oscillator Wavefunctions -- 5.5 Comparing the Classical and Quantum Harmonic Oscillators -- 5.6 Raising and Lowering Operators -- Reference. , 6 Schrödinger's Equation in Three Dimensions and the Quantum Theory of Angular Momentum -- 6.1 Separation of Variables: Cartesian Coordinates -- 6.2 Spherical Coordinates -- 6.3 Angular Momentum Operators -- 6.4 Separation of Variables in Spherical Coordinates: Central Potentials -- 6.5 Angular Wavefunctions and Spherical Harmonics -- 6.5.1 Solution of the Φ Equation -- 6.5.2 Solution of the Θ Equation -- 6.5.3 Spherical Harmonics -- References -- 7 Central Potentials -- 7.1 Introduction -- 7.2 The Infinite Spherical Well -- 7.3 The Finite Spherical Well -- 7.4 The Coulomb Potential -- 7.5 Hydrogen Atom Probability Distributions -- 7.5.1 The (1, 0, 0) State of Hydrogen -- 7.5.2 The (2, 0, 0) and Other States of Hydrogen -- 7.6 The Effective Potential -- 7.7 Some Philosophical Remarks -- References -- 8 Further Developments with Angular Momentum and Multiparticle Systems -- 8.1 Angular Momentum Raising and Lowering Operators -- 8.2 The Stern-Gerlach Experiment: Evidence for Qunatized Angular … -- 8.3 Diatomic Molecules and Angular Momentum -- 8.4 Identical Particles, Indistinguishability, and the Pauli Exclusion Principle -- References -- 9 Approximation Methods -- 9.1 The WKB Method -- 9.2 The Superposition Theorem Revisited -- 9.3 Perturbation Theory -- 9.4 The Variational Method -- 9.5 Improving the Variational Method -- References -- 10 Numerical Solution of Schrödinger's Equation -- 10.1 Atomic Units -- 10.2 A Straightforward Numerical Integration Method -- References -- 11 A Few Results from Time-Dependent Quantum Mechanics: Transition Rates and Probabilities -- 11.1 Transition Frequencies -- 11.2 Transition Rules -- 11.3 The Sudden Approximation -- References -- Appendix A Miscellaneous Derivations -- A.1 Heisenberg's Uncertainty Principle -- A.2 Normalization of Hermite Polynomials. , A.3 Explicit Series Form for Associated Legendre Functions -- A.4 Proof That upper Y Subscript script l comma negative m Baseline equals left parenthesis negative 1 right parenthesis Superscript m Baseline upper Y Subscript script l comma m Superscript asteriskYell,-m = (-1)mYell,m* -- A.5 Radial Nodes in Hydrogen Wavefunctions -- Appendix B Answers to Selected Odd-Numbered Problems -- Appendix C Integrals and Trigonometric Identities -- Appendix D Physical Constants -- Index.

Weitere Ausg.: Print version: Reed, Bruce Cameron Quantum Mechanics Cham : Springer International Publishing AG,c2023 ISBN 9783031140198

Sprache: Englisch

Bookmarklink

Bibliothek	Standort	Signatur	Band/Heft/Jahr	Verfügbarkeit

Andere fanden auch interessant ...

Online-Ressource

Charité

Treffer 1 - 2 | 2 Treffer

Nichts oder nicht das Richtige gefunden? Bitte überprüfen Sie Ihre Suchanfrage oder benutzen Sie den Fernleihindex.

Meinten Sie 9783031040214?

Meinten Sie 9783031040207?

Meinten Sie 9783031104206?

Kooperativer Bibliotheksverbund

Berlin Brandenburg