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Quantum Mechanics Solver: How to Apply Quantum Theory to Modern Physics 2nd ed. 2006 [Hardback]

  • Formāts: Hardback, 292 pages, height x width: 235x155 mm, weight: 1340 g, XIV, 292 p., 1 Hardback
  • Izdošanas datums: 13-Sep-2005
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540277218
  • ISBN-13: 9783540277217
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  • Formāts: Hardback, 292 pages, height x width: 235x155 mm, weight: 1340 g, XIV, 292 p., 1 Hardback
  • Izdošanas datums: 13-Sep-2005
  • Izdevniecība: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • ISBN-10: 3540277218
  • ISBN-13: 9783540277217
Citas grāmatas par šo tēmu:
Quantum mechanics is an endless source of new questions and fascinating observations. Examples can be found in fundamental physics and in applied physics, in mathematical questions as well as in the currently popular debates ontheinterpretationofquantummechanicsanditsphilosophicalimplications. Teaching quantum mechanics relies mostly on theoretical courses, which are illustrated by simple exercises often of a mathematical character. Red- ing quantum physics to this type of problem is somewhat frustrating since very few, if any, experimental quantities are available to compare the results with. For a long time, however, from the 1950s to the 1970s, the only alter- tive to these basic exercises seemed to be restricted to questions originating from atomic and nuclear physics, which were transformed into exactly soluble problems and related to known higher transcendental functions. In the past ten or twenty years, things have changed radically. The dev- opment of high technologies is a good example. The one-dimensional squa- well potential used to be a rather academic exercise for beginners. The em- gence of quantum dots and quantum wells in semiconductor technologies has changed things radically. Optronics and the associated developments in inf- redsemiconductorandlasertechnologieshaveconsiderablyelevatedthesocial rank of the square-well model. As a consequence, more and more emphasis is given to the physical aspects of the phenomena rather than to analytical or computational considerations.

Recenzijas

From the reviews of the second edition:









"This problem based textbook is a concise and particularly useful reference of quantum mechanics as used in a large range of modern applications in physics. At the end of each section worked solutions, references and general comments are given . this book of problems would be very useful for any physics departmental, or indeed individual research group, library. Highly recommended." (Lloyd C L Hollenberg, Australian Physics, Vol. 32 (6), 2007)

Summary of Quantum Mechanics 1(1)
Principles
1(3)
General Results
4(1)
The Particular Case of a Point-Like Particle; Wave Mechanics
4(2)
Angular Momentum and Spin
6(1)
Exactly Soluble Problems
7(2)
Approximation Methods
9(1)
Identical Particles
10(1)
Time-Evolution of Systems
11(1)
Collision Processes
12(5)
Part I Elementary Particles, Nuclei and Atoms
Neutrino Oscillations
17(12)
Mechanism of the Oscillations; Reactor Neutrinos
18(2)
Oscillations of Three Species; Atmospheric Neutrinos
20(3)
Solutions
23(4)
Comments
27(2)
Atomic Clocks
29(8)
The Hyperfine Splitting of the Ground State
29(2)
The Atomic Fountain
31(1)
The GPS System
32(1)
The Drift of Fundamental Constants
32(1)
Solutions
33(4)
Neutron Interferometry
37(10)
Neutron Interferences
38(1)
The Gravitational Effect
39(1)
Rotating a Spin 1/2 by 360 Degrees
40(2)
Solutions
42(5)
Spectroscopic Measurement on a Neutron Beam
47(8)
Ramsey Fringes
47(2)
Solutions
49(6)
Analysis of a Stern---Gerlach Experiment
55(10)
Preparation of the Neutron Beam
55(2)
Spin State of the Neutrons
57(1)
The Stern---Gerlach Experiment
57(2)
Solutions
59(6)
Measuring the Electron Magnetic Moment Anomaly
65(4)
Spin and Momentum Precession of an Electron in a Magnetic Field
65(1)
Solutions
66(3)
Decay of a Tritium Atom
69(4)
The Energy Balance in Tritium Decay
69(1)
Solutions
70(1)
Comments
71(2)
The Spectrum of Positronium
73(8)
Positronium Orbital States
73(1)
Hyperfine Splitting
73(1)
Zeeman Effect in the Ground State
74(1)
Decay of Positronium
75(2)
Solutions
77(4)
The Hydrogen Atom in Crossed Fields
81(6)
The Hydrogen Atom in Crossed Electric and Magnetic Fields
82(1)
Pauli's Result
82(1)
Solutions
83(4)
Energy Loss of Ions in Matter
87(12)
Energy Absorbed by One Atom
87(1)
Energy Loss in Matter
88(2)
Solutions
90(4)
Comments
94(5)
Part II Quantum Entanglement and Measurement
The EPR Problem and Bell's Inequality
99(10)
The Electron Spin
99(1)
Correlations Between the Two Spins
100(1)
Correlations in the Singlet State
100(1)
A Simple Hidden Variable Model
101(1)
Bell's Theorem and Experimental Results
102(1)
Solutions
103(6)
Schrodinger's Cat
109(12)
The Quasi-Classical States of a Harmonic Oscillator
109(2)
Construction of a Schrodinger-Cat State
111(1)
Quantum Superposition Versus Statistical Mixture
111(1)
The Fragility of a Quantum Superposition
112(2)
Solutions
114(5)
Comments
119(2)
Quantum Cryptography
121(10)
Preliminaries
121(1)
Correlated Pairs of Spins
122(3)
The Quantum Cryptography Procedure
125(1)
Solutions
126(5)
Direct Observation of Field Quantization
131(16)
Quantization of a Mode of the Electromagnetic Field
131(2)
The Coupling of the Field with an Atom
133(1)
Interaction of the Atom with an ``Empty'' Cavity
134(1)
Interaction of an Atom with a Quasi-Classical State
135(1)
Large Numbers of Photons: Damping and Revivals
136(1)
Solutions
137(7)
Comments
144(3)
Ideal Quantum Measurement
147(8)
Preliminaries: a von Neumann Detector
147(1)
Phase States of the Harmonic Oscillator
148(1)
The Interaction between the System and the Detector
149(1)
An ``Ideal'' Measurement
149(1)
Solutions
150(3)
Comments
153(2)
The Quantum Eraser
155(14)
Magnetic Resonance
155(1)
Ramsey Fringes
156(2)
Detection of the Neutron Spin State
158(1)
A Quantum Eraser
159(1)
Solutions
160(6)
Comments
166(3)
A Quantum Thermometer
169(16)
The Penning Trap in Classical Mechanics
169(1)
The Penning Trap in Quantum Mechanics
170(2)
Coupling of the Cyclotron and Axial Motions
172(1)
A Quantum Thermometer
173(1)
Solutions
174(11)
Part III Complex Systems
Exact Results for the Three-Body Problem
185(8)
The Two-Body Problem
185(1)
The Variational Method
186(1)
Relating the Three-Body and Two-Body Sectors
186(1)
The Three-Body Harmonic Oscillator
187(1)
From Mesons to Baryons in the Quark Model
187(1)
Solutions
188(5)
Properties of a Bose---Einstein Condensate
193(10)
Particle in a Harmonic Trap
193(1)
Interactions Between Two Confined Particles
194(1)
Energy of a Bose-Einstein Condensate
195(1)
Condensates with Repulsive Interactions
195(1)
Condensates with Attractive Interactions
196(1)
Solutions
197(5)
Comments
202(1)
Magnetic Excitons
203(12)
The Molecule CsFeBr3
203(1)
Spin-Spin Interactions in a Chain of Molecules
204(1)
Energy Levels of the Chain
204(2)
Vibrations of the Chain: Excitons
206(2)
Solutions
208(7)
A Quantum Box
215(16)
Results on the One-Dimensional Harmonic Oscillator
216(1)
The Quantum Box
217(1)
Quantum Box in a Magnetic Field
218(1)
Experimental Verification
219(1)
Anisotropy of a Quantum Box
220(1)
Solutions
221(8)
Comments
229(2)
Colored Molecular Ions
231(6)
Hydrocarbon Ions
231(1)
Nitrogenous Ions
232(1)
Solutions
233(2)
Comments
235(2)
Hyperfine Structure in Electron Spin Resonance
237(8)
Hyperfine Interaction with One Nucleus
238(1)
Hyperfine Structure with Several Nuclei
238(1)
Experimental Results
239(1)
Solutions
240(5)
Probing Matter with Positive Muons
245(10)
Muonium in Vacuum
246(1)
Muonium in Silicon
247(2)
Solutions
249(6)
Quantum Reflection of Atoms from a Surface
255(12)
The Hydrogen Atom--Liquid Helium Interaction
255(2)
Excitations on the Surface of Liquid Helium
257(1)
Quantum Interaction Between H and Liquid He
258(1)
The Sticking Probability
258(1)
Solutions
259(6)
Comments
265(2)
Laser Cooling and Trapping
267(10)
Optical Bloch Equations for an Atom at Rest
267(1)
The Radiation Pressure Force
268(1)
Doppler Cooling
269(1)
The Dipole Force
270(1)
Solutions
270(6)
Comments
276(1)
Bloch Oscillations
277(10)
Unitary Transformation on a Quantum System
277(1)
Band Structure in a Periodic Potential
277(1)
The Phenomenon of Bloch Oscillations
278(3)
Solutions
281(4)
Comments
285(2)
Author Index 287(2)
Subject Index 289