The Quantum Mechanics Slover: How to Apply Quantum Theory to Modern Physics

by Basdevant, J. L.; Dalibard, Jean; Basdevant, Jean-Louis; Dalibard, J.

• ISBN13: 9783540634096
• ISBN10: 3540634096
• eBook ISBN(s): 9783662042779
• Edition: 1st
• Format: Hardcover
• Copyright: 2000-04-01
• Publisher: Springer Verlag
• More Book Details
• Purchase Benefits

Summary

The Quantum Mechanics Solveris unique as it illustrates the application of quantum mechanical concepts to various fields of modern physics. It aims at encouraging the reader to apply quantum mechanics to research problems in fields such as molecular physics, condensed matter physics or laser physics. Advanced undergraduates and graduate students will find a rich and challenging source of material for further exploration.

Table of Contents

Colored Centers in Ionic Crystals	1	(10)
The Mollwo--Ivey Law	2	(1)
The Jahn--Teller Effect	3	(1)
The Stokes Shift	4	(1)
Solutions	5	(6)
Further Comments on F-Centers	10	(1)
Unstable Diatomic Molecule	11	(6)
Preliminaries	11	(1)
A Molecule Which Is Only Stable in Its Excited State	12	(1)
Solutions	13	(4)
Neutrino Oscillations	17	(4)
Neutrino Masses and the Associated Oscillations	17	(1)
Solutions	18	(3)
Colored Molecular Ions	21	(6)
Carbohydrate Ions	21	(1)
Nitrogenous Ions	22	(1)
Solutions	23	(4)
Schrodinger's Cat	27	(12)
The Quasi-Classical States of a Harmonic Oscillator	27	(1)
Construction of a Schrodinger-Cat State	28	(1)
Quantum Superposition Versus Statistical Mixture	29	(1)
The Fragility of a Quantum Superposition	30	(2)
Solutions	32	(7)
Conclusion	37	(2)
Direct Observation of Field Quantization	39	(14)
Quantization of a Mode of the Electromagnetic Field	39	(2)
The Coupling of the Field with an Atom	41	(1)
Interaction of the Atom and an ``Empty'' Cavity	42	(1)
Interaction of an Atom with a Quasi-Classical State	43	(1)
Large Numbers of Photons: Damping and Revivals	44	(1)
Solutions	45	(8)
Reference	52	(1)
Decay of a Tritium Atom	53	(4)
The Energy Balance in Tritium Decay	53	(1)
Solutions	54	(3)
The Hydrogen Atom in Crossed Fields	57	(4)
The Hydrogen Atom in Crossed Electric and Magnetic Fields	57	(1)
Pauli's Result	58	(1)
Solutions	59	(2)
Exact Results for the Three-Body Problem	61	(8)
The Two-Body Problem	61	(1)
The Variational Method	61	(1)
Relating the Three-Body and Two-Body Sectors	62	(1)
The Three-Body Harmonic Oscillator	63	(1)
From Mesons to Baryons in the Quark Model	63	(1)
Solutions	64	(5)
References	68	(1)
Analysis of a Stern--Gerlach Experiment	69	(10)
Preparation of the Neutron Beam	69	(2)
Spin State of the Neutrons	71	(1)
The Stern--Gerlach Experiment	71	(2)
Solutions	73	(6)
Measuring the Electron Magnetic Moment Anomaly	79	(4)
Spin and Momentum Precession of an Electron in a Magnetic Field	79	(1)
Solutions	80	(3)
Neutron Interferometry	83	(10)
Neutron Interferences	84	(1)
The Gravitational Effect	85	(1)
Rotating a Spin 1/2 by 360 Degrees	86	(2)
Solutions	88	(5)
References	91	(2)
The Penning Trap	93	(6)
Motion of an Electron in a Penning Trap	93	(1)
The Transverse Motion	94	(1)
Measurement of the Electron Anomalous Magnetic Moment	95	(1)
Solutions	95	(4)
Reference	98	(1)
Quantum Cryptography	99	(10)
Preliminaries	99	(1)
Correlated Pairs of Spins	100	(2)
The Quantum Cryptography Procedure	102	(2)
Solutions	104	(5)
Hidden Variables and Bell's Inequalities	109	(10)
The Electron Spin	109	(1)
Correlations Between the Two Spins	109	(1)
Correlations in the Singlet State	110	(1)
A Simple Hidden Variable Model	111	(1)
Bell's Theorem and Experimental Results	112	(1)
Solutions	113	(6)
References	118	(1)
Hyperfine Structure in Electron Spin Resonance	119	(8)
Hyperfine Interaction with One Nucleus	120	(1)
Hyperfine Structure with Several Nuclei	120	(1)
Experimental Results	121	(2)
Solutions	123	(4)
The Spectrum of Positronium	127	(8)
Positronium Orbital States	127	(1)
Hyperfine Splitting	127	(1)
Zeeman Effect in the Ground State	128	(1)
Decay of Positronium	129	(2)
Solutions	131	(4)
References	134	(1)
Magnetic Excitons	135	(12)
The Molecule CsFeBr3	135	(1)
Spin--Spin Interactions in a Chain of Molecules	136	(1)
Energy Levels of the Chain	136	(2)
Vibrations of the Chain: Excitons	138	(2)
Solutions	140	(7)
Reference	145	(2)
Probing Matter with Positive Muons	147	(10)
Muonium in Vacuum	148	(1)
Muonium in Silicon	149	(2)
Solutions	151	(6)
Spectroscopic Measurement on a Neutron Beam	157	(8)
Ramsey Fringes	157	(2)
Solutions	159	(6)
Reference	163	(2)
The Quantum Eraser	165	(14)
Magnetic Resonance	165	(1)
Ramsey Fringes	166	(2)
Detection of the Neutron Spin State	168	(1)
A Quantum Eraser	169	(1)
Solutions	170	(9)
Molecular Lasers	179	(8)
Preliminaries	179	(1)
Molecular Lasers	180	(2)
Solutions	182	(5)
Energy Loss by Ions in Matter	187	(8)
Energy Absorbed by One Atom	188	(1)
Energy Loss in Matter	188	(2)
Solutions	190	(5)
Properties of a Bose--Einstein Condensate	195	(10)
Particle in a Harmonic Trap	195	(1)
Interactions Between Two Confined Particles	196	(1)
Energy of a Bose--Einstein Condensate	197	(1)
Condensates with Repulsive Interactions	197	(1)
Condensates with Attractive Interactions	198	(1)
Solutions	199	(6)
Further Comments	204	(1)
Quantum Reflections of Atoms from a Surface	205	(12)
The Hydrogen Atom--Liquid Helium Interaction	205	(2)
Excitations on the Surface of Liquid Helium	207	(1)
Quantum Interaction Between H and Liquid He	208	(1)
The Sticking Probability	208	(1)
Solutions	209	(8)
References	215	(2)
Laser Cooling and Trapping	217	(10)
Optical Bloch Equations for an Atom at Rest	217	(1)
The Radiation Pressure Force	218	(1)
Doppler Cooling	219	(1)
The Dipole Force	220	(1)
Solutions	220	(7)
Quantum Motion in a Periodic Potential	227	(12)
Band Structure in a Periodic Potential	227	(1)
Bloch Oscillations	228	(2)
Solutions	230	(9)
Author Index	239	(2)
Subject Index	241