Sold Out
Book Categories |
Preface xv
Praise of physics 1
The interplay of the eye and the mind 1
Advanced technologies 5
The pillars of contemporary physics 6
Mysteries of light 6
Fundamental structure of matter 8
The infinitely complex 9
The Universe 12
A quantum phenomenon 13
Wave behavior of particles 16
Interferences 16
Wave behavior of matter 17
Analysis of the phenomenon 18
Probabilistic nature of quantum phenomena 20
Random behavior of particles 20
A nonclassical probabilistic phenomenon 20
Conclusions 21
Phenomenological description 23
Wave function, Schrodinger equation 25
Terminology and methodology 25
Terminology 25
Methodology 26
Principles of wave mechanics 27
The interference experiment 27
Wave function 27
Schrodinger equation 29
Superposition principle 30
Wave packets 31
Free wavepackets 31
Fourier transformation 32
Shape of wave packets 33
Historical landmarks 33
Momentum probability law 35
Free particle 35
General case 36
Heisenberg uncertainty relations 36
Size and energy of a quantum system 37
Stability of matter 38
Controversies and paradoxes 40
The 1927 Solvay Congress 40
The EPR paradox 41
Hidden variables, Bell's inequalities 41
The experimental test 42
Physical quantities 45
Statement of the problem 46
Physical quantities 46
Position and momentum 47
Observables 48
Position observable 49
Momentum observable 49
Correspondence principle 50
Historical landmarks 50
A counterexample of Einstein and its consequences 51
What do we know after a measurement? 53
Eigenstates and eigenvalues of an observable 54
Wave packet reduction 55
The specific role of energy 56
The Hamiltonian 56
The Schrodinger equation, time and energy 57
Stationary states 58
Motion: Interference of stationary states 59
Schrodinger's cat 60
The dreadful idea 60
The classical world 63
Energy quantization 65
Methodology 65
Bound states and scattering states 66
One-dimensional problems 67
The harmonic oscillator 67
Harmonic potential 67
Energy levels, eigenfunctions 68
Square well potentials 69
Square potentials 69
Symmetric square well 70
Infinite well, particle in a box 73
Double well, the ammonia molecule 74
The model 74
Stationary states, the tunnel effect 75
Energy levels 76
Wave functions 78
Inversion of the molecule 79
Illustrations and applications of the tunnel effect 81
Sensitivity to the parameters 81
Molecular structure 82
Tunneling microscopy, nanotechnologies 84
Nanotechnologies 84
Classical limit 85
Principles of quantum mechanics 87
Hilbert space 88
Two-dimensional space 89
Square integrable functions 89
Dirac formalism 92
Notations 92
Operators 93
Syntax rules 95
Projectors; decomposition of the identity 95
Measurement results 96
Eigenvectors and eigenvalues of an observable 96
Results of the measurement of a physical quantity 97
Probabilities 98
The Riesz spectral theorem 98
Physical meaning of various representations 100
Principles of quantum mechanics 101
The principles 101
The case of a continuous spectrum 102
Interest of this synthetic formulation 102
Heisenberg's matrices 103
Matrix representation of operators 103
Matrices X and P 104
Heisenberg's thoughts 104
The polarization of light, quantum "logic" 107
Two-state systems 113
The NH[subscript 3] molecule 113
"Two-state" system 114
Matrix quantum mechanics 116
Vectors 116
Hamiltonian 117
Observables 117
Examples 119
Basis of classical configurations 119
Interference and measurement 120
NH[subscript 3] in an electric field 120
Uniform constant field 121
Weak and strong field regimes 122
Other two-state systems 123
The ammonia molecule in an inhomogeneous field 123
Force on the molecule in an inhomogeneous field 124
Population inversion 126
Reaction to an oscillating field, the maser 126
Principle and applications of the maser 128
Amplifiers 129
Oscillators 130
Atomic clocks 130
Tests of relativity 132
Neutrino oscillations 134
Lepton families 134
Mechanism of the oscillations; reactor neutrinos 135
Successive hermaphroditism of neutrinos 138
Algebra of observables 143
Commutation of observables 143
Fundamental commutation relation 143
Other commutation relations 144
Dirac in the summer of 1925 145
Uncertainty relations 146
Evolution of physical quantities 147
Evolution of an expectation value 147
Particle in a potential, classical limit 148
Conservation laws 149
Algebraic resolution of the harmonic oscillator 150
Operators a, a, and N 151
Determination of the eigenvalues 151
Eigenstates 152
Commuting observables 154
Theorem 154
Example 155
Tensor structure of quantum mechanics 155
Complete set of commuting observables (CSCO) 156
Completely prepared quantum state 157
Sunday, September 20, 1925 158
Angular momentum 161
Fundamental commutation relation 162
Classical angular momentum 162
Definition of an angular momentum observable 162
Results of the quantization 163
Proof of the quantization 163
Statement of the problem 163
Vectors |j, m > and eigenvalues j and m 164
Operators J[Characters not reproducible] = J[subscript x Characters not reproducible] iJ[subscript y] 165
Quantization 166
Orbital angular momenta 168
Formulae in spherical coordinates 168
Integer values of m and l 168
Spherical harmonics 169
Rotation energy of a diatomic molecule 170
Diatomic molecule 171
The CO molecule 172
Angular momentum and magnetic moment 173
Classical model 173
Quantum transposition 175
Experimental consequences 175
Larmor precession 176
What about half-integer values of j and m? 177
The Hydrogen Atom 179
Two-body problem; relative motion 180
Motion in a central potential 182
Spherical coordinates, CSCO 182
Eigenfunctions common to H, L[superscript 2], and L[subscript z] 182
Quantum numbers 183
The hydrogen atom 186
Atomic units; fine structure constant 186
The dimensionless radial equation 188
Spectrum of hydrogen 191
Stationary states of the hydrogen atom 191
Dimensions and orders of magnitude 193
Historical landmarks 194
Muonic atoms 195
Spin 1/2 199
Experimental results 199
Spin 1/2 formalism 200
Representation in a particular basis 201
Matrix representation 201
Complete description of a spin 1/2 particle 202
Observables 203
Physical spin effects 204
Spin magnetic moment 205
Hamiltonian of a one-electron atom 205
The Stern-Gerlach experiment 206
Principle of the experiment 206
Semi-classical analysis 207
Experimental results 208
Explanation of the Stern-Gerlach experiment 208
Successive Stern-Gerlach setups 211
Measurement along an arbitrary axis 211
The discovery of spin 213
The hidden sides of the Stern-Gerlach experiment 213
Einstein and Ehrenfest's objections 215
Anomalous Zeeman effect 216
Bohr's challenge to Pauli 217
The spin hypothesis 217
The fine structure of atomic lines 218
Magnetism, magnetic resonance 219
Spin effects, Larmor precession 220
Larmor precession in a fixed magnetic field 221
Rabi's calculation and experiment 221
Nuclear magnetic resonance 225
Magnetic moments of elementary particles 227
Entertainment: Rotation by 2[pi] of a spin 1/2 228
The Pauli Principle 229
Indistinguishability of two identical particles 230
Identical particles in classical physics 230
The quantum problem 230
Example of ambiguities 231
Systems of two spin 1/2 particles, total spin 232
The Hilbert space of the problem 232
Hilbert space of spin variables 232
Matrix representation 233
Total spin states 233
Two-particle system; the exchange operator 235
The Hilbert space for the two-particle system 235
The exchange operator between identical particles 236
Symmetry of the states 237
The Pauli principle 238
The case of two particles 238
Independent fermions and exclusion principle 239
The case of N identical particles 239
Physical consequences of the Pauli principle 241
Exchange force between two fermions 241
The ground state of N identical independent particles 241
Behavior of fermion and boson systems at low temperatures 243
Entangled states: The way of paradoxes 247
The EPR paradox 247
The version of David Bohm 249
Bell's inequality 251
Experimental tests 254
Quantum cryptography; how to enjoy a nuisance 256
The communication between Alice and Bob 256
Present experimental setups 258
Quantum teleportation 260
Bell states 260
Teleportation 261
Quantum mechanics in the Universe 263
Quantum mechanics and astronomy 265
Life and death of stars 265
Spectroscopy 268
Radioastronomy, the interstellar medium 268
The interstellar medium 269
Cosmic background radiation: Birth of the Universe 273
The 21-cm line of hydrogen 275
Hyperfine structure of hydrogen 276
Hydrogen maser 278
Importance of the 21-cm line 279
The Milky Way 280
The intergalactic medium; star wars 281
Spiral arms, birthplaces of stars 285
Interstellar molecules, the origin of life 287
Rotation spectra of molecules 287
Interstellar molecules 288
The origin of life 289
Where are they? Quantum mechanics, the universal cosmic language 291
Life, intelligence, and thought 291
Listening to extraterrestrials 293
Quantum mechanics, the universal cosmic language 295
Index 303
Login|Complaints|Blog|Games|Digital Media|Souls|Obituary|Contact Us|FAQ
CAN'T FIND WHAT YOU'RE LOOKING FOR? CLICK HERE!!! X
You must be logged in to add to WishlistX
This item is in your Wish ListX
This item is in your CollectionLectures on Quantum Mechanics
X
This Item is in Your InventoryLectures on Quantum Mechanics
X
You must be logged in to review the productsX
X
X
Add Lectures on Quantum Mechanics, , Lectures on Quantum Mechanics to the inventory that you are selling on WonderClubX
X
Add Lectures on Quantum Mechanics, , Lectures on Quantum Mechanics to your collection on WonderClub |