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Visual Quantum Mechanics: Selected Topics with Computer-Generated Animations of Quantum-Mechanical Phenomena Softcover reprint of the original 1st ed. 2000 [Mīkstie vāki]

  • Formāts: Paperback / softback, 283 pages, height x width: 254x178 mm, weight: 603 g, XV, 283 p., 1 Paperback / softback
  • Izdošanas datums: 23-Apr-2013
  • Izdevniecība: Springer-Verlag New York Inc.
  • ISBN-10: 1475774281
  • ISBN-13: 9781475774283
  • Mīkstie vāki
  • Cena: 73,68 €*
  • * ši ir gala cena, t.i., netiek piemērotas nekādas papildus atlaides
  • Standarta cena: 86,69 €
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  • Formāts: Paperback / softback, 283 pages, height x width: 254x178 mm, weight: 603 g, XV, 283 p., 1 Paperback / softback
  • Izdošanas datums: 23-Apr-2013
  • Izdevniecība: Springer-Verlag New York Inc.
  • ISBN-10: 1475774281
  • ISBN-13: 9781475774283
In the strange world of quantum mechanics the application of visualization techniques is particularly rewarding, for it allows us to depict phenomena that cannot be seen by any other means. Visual Quantum Mechanics relies heavily on visualization as a tool for mediating knowledge. The book comes TM with a CD-ROM containing about 320 digital movies in QuickTime f- mat, which can be watched on every multimedia-capable computer. These computer-generated animations are used to introduce, motivate, and ill- trate the concepts of quantum mechanics that are explained in the book. If a picture is worth a thousand words, then my hope is that each short animation (consisting of about a hundred frames) will be worth a hundred thousand words. The collection of ?lms on the CD-ROM is presented in an interactive en- TM vironmentthathasbeendevelopedwiththehelpofMacromediaDirector . This multimedia presentation can be used like an adventure game without special computer skills. I hope that this presentation format will attract the interest of a wider audience to the beautiful theory of quantum mechanics.

Papildus informācija

Springer Book Archives
Preface v
Chapter 1 Visualization of Wave Functions
1(14)
1.1 Introduction
1(1)
1.2 Visualization of Complex Numbers
2(7)
1.3 Visualization of Complex-Valued Functions
9(4)
1.4 Special Topic: Wave Functions with an Inner Structure
13(2)
Chapter 2 Fourier Analysis
15(34)
2.1 Fourier Series of Complex-Valued Functions
16(5)
2.2 The Hilbert Space of Square-Integrable Functions
21(4)
2.3 The Fourier Transformation
25(3)
2.4 Basic Properties of the Fourier Transform
28(1)
2.5 Linear Operators
29(5)
2.6 Further Results About the Fourier Transformation
34(4)
2.7 Gaussian Functions
38(3)
2.8 Inequalities
41(4)
2.9 Special Topic: Dirac Delta Distribution
45(4)
Chapter 3 Free Particles
49(34)
3.1 The Free Schrodinger Equation
50(5)
3.2 Wave Packets
55(4)
3.3 The Free Time Evolution
59(4)
3.4 The Physical Meaning of a Wave Function
63(7)
3.5 Continuity Equation
70(2)
3.6 Special Topic: Asymptotic Time Evolution
72(3)
3.7 Schrodinger Cat States
75(5)
3.8 Special Topic: Energy Representation
80(3)
Chapter 4 States and Observables
83(24)
4.1 The Hilbert Space of Wave Functions
84(2)
4.2 Observables and Linear Operators
86(3)
4.3 Expectation Value of an Observable
89(2)
4.4 Other Observables
91(2)
4.5 The Commutator of x and p
93(1)
4.6 Electromagnetic Fields
94(3)
4.7 Gauge Fields
97(3)
4.8 Projection Operators
100(4)
4.9 Transition Probability
104(3)
Chapter 5 Boundary Conditions
107(28)
5.1 Impenetrable Barrier
108(2)
5.2 Other Boundary Conditions
110(1)
5.3 Particle in a Box
111(3)
5.4 Eigenvalues and Eigenfunctions
114(5)
5.5 Special Topic: Unit Function in a Dirichlet Box
119(5)
5.6 Particle on a Circle
124(1)
5.7 The Double Slit Experiment
125(5)
5.8 Special Topic: Analysis of the Double Slit Experiment
130(5)
Chapter 6 Linear Operators in Hilbert Spaces
135(22)
6.1 Hamiltonian and Time Evolution
135(3)
6.2 Unitary Operators
138(1)
6.3 Unitary Time Evolution and Unitary Groups
139(2)
6.4 Symmetric Operators
141(2)
6.5 The Adjoint Operator
143(1)
6.6 Self-Adjointness and Stone's Theorem
144(3)
6.7 Translation Group
147(2)
6.8 Weyl Relations
149(2)
6.9 Canonical Commutation Relations
151(1)
6.10 Commutator and Uncertainty Relation
152(1)
6.11 Symmetries and Conservation Laws
153(4)
Chapter 7 Harmonic Oscillator
157(34)
7.1 Basic Definitions and Properties
158(5)
7.2 Eigenfunction Expansion
163(4)
7.3 Solution of the Initial-Value Problem
167(4)
7.4 Time Evolution of Observables
171(4)
7.5 Motion of Gaussian Wave Packets
175(2)
7.6 Harmonic Oscillator in Two and More Dimensions
177(2)
7.7 Theory of the Harmonic Oscillator
179(5)
7.8 Special Topic: More About Coherent States
184(3)
7.9 Special Topic: Mehler Kernel
187(4)
Chapter 8 Special Systems
191(36)
8.1 The Free Fall in a Constant Force Field
192(4)
8.2 Free Fall with Elastic Reflection at the Ground
196(4)
8.3 Magnetic Fields in Two Dimensions
200(2)
8.4 Constant Magnetic Field
202(3)
8.5 Energy Spectrum in a Constant Magnetic Field
205(2)
8.6 Translational Symmetry in a Magnetic Field
207(6)
8.7 Time Evolution in a Constant Magnetic Field
213(5)
8.8 Systems with Rotational Symmetry in Two Dimensions
218(4)
8.9 Spherical Harmonic Oscillator
222(2)
8.10 Angular Momentum Eigenstates in a Magnetic Field
224(3)
Chapter 9 One-Dimensional Scattering Theory
227(30)
9.1 Asymptotic Behavior
227(4)
9.2 Example: Potential Step
231(3)
9.3 Wave Packets and Eigenfunction Expansion
234(2)
9.4 Potential Step: Asymptotic Momentum Distribution
236(3)
9.5 Scattering Matrix
239(2)
9.6 Transition Matrix
241(5)
9.7 The Tunnel Effect
246(2)
9.8 Example: Potential Well
248(3)
9.9 Parity
251(6)
Appendix A Numerical Solution in One Dimension
257(6)
Appendix B Movie Index
263(12)
1 Visualization
263(1)
2 Fourier Analysis
264(1)
3 Free Particles
265(1)
4 Boundary Conditions
266(2)
5 Harmonic Oscillator
268(2)
6 Special Systems
270(2)
7 Scattering Theory
272(3)
Appendix C Other Books on Quantum Mechanics
275(4)
Index 279