
At a Glance
328 Pages
23.5 x 15.88 x 1.91
Hardcover
$84.99
or 4 interest-free payments of $21.25 with
 orÂShips in 5 to 7 business days
Beautifully illustrated and engagingly written, Twelve Lectures in Quantum Mechanics presents theoretical physics with a breathtaking array of examples and anecdotes. Basdevant's style is clear and stimulating, in the manner of a brisk classroom lecture that students can follow with ease and enjoyment. Here is a sample of the book's style, from the opening of Chapter 1: "If one were to ask a passer-by to quote a great formula of physics, chances are that the answer would be 'E = mc2'. In fact, of the three watershed years for physics toward the beginning of the 20th century - 1905: the Special Relativity of Einstein, Lorentz and Poincare; 1915: the General Relativity of Einstein, with its extraordinary reflections on gravitation, space and time; and 1925: the development of Quantum Mechanics - it is surely the last which has the most profound implications for the development of science and technology. There is no way around it: all physics is quantum, from elementary particles, to stellar physics and the Big Bang, not to mention semiconductors and solar cells."
A graduate of the Ecole Normale Superieure, Jean-Louis Basdevant is Professor and Chair of the Department of Physics at the Ecole Polytechnique, and Director of Research for the CNRS. Specializing in the theoretical physics of elementary particles, quantum field theory and astrophysics, Prof. Basdevant works in the Leprince-Ringuet Laboratory at the Ecole Polytechnique.
Industry Reviews
From the reviews:
"This book is a transcription of the introductory lectures on quantum mechanics that Basdevant gives at Ecole Polytechnique in France. ... The strength of the book lies in Bedevant's obvious talent as a lecturer. He is engaging and interesting and uses a wide variety of examples and sources. ... These are interesting lectures and would be useful to anyone interested in an advanced introduction, or a review, of the topic. Summing Up: Recommended. Graduate student; faculty." (E. Kincanon, CHOICE, Vol. 44 (11), August, 2007)
"This textbook presents theoretical physics with a breathtaking array of examples and anecdotes. The author's style is clear and stimulating, in the manner of a brisk classroom lecture that students can follow with ease and enjoyment. The book is written in physical language, without the excessive mathematics." (Vladimir Dzhunushaliev, Zentralblatt MATH, Vol. 1115 (17), 2007)
| Preface | p. xv |
| Praise of physics | p. 1 |
| The interplay of the eye and the mind | p. 1 |
| Advanced technologies | p. 5 |
| The pillars of contemporary physics | p. 6 |
| Mysteries of light | p. 6 |
| Fundamental structure of matter | p. 8 |
| The infinitely complex | p. 9 |
| The Universe | p. 12 |
| A quantum phenomenon | p. 13 |
| Wave behavior of particles | p. 16 |
| Interferences | p. 16 |
| Wave behavior of matter | p. 17 |
| Analysis of the phenomenon | p. 18 |
| Probabilistic nature of quantum phenomena | p. 20 |
| Random behavior of particles | p. 20 |
| A nonclassical probabilistic phenomenon | p. 20 |
| Conclusions | p. 21 |
| Phenomenological description | p. 23 |
| Wave function, Schrodinger equation | p. 25 |
| Terminology and methodology | p. 25 |
| Terminology | p. 25 |
| Methodology | p. 26 |
| Principles of wave mechanics | p. 27 |
| The interference experiment | p. 27 |
| Wave function | p. 27 |
| Schrodinger equation | p. 29 |
| Superposition principle | p. 30 |
| Wave packets | p. 31 |
| Free wave packets | p. 31 |
| Fourier transformation | p. 32 |
| Shape of wave packets | p. 33 |
| Historical landmarks | p. 33 |
| Momentum probability law | p. 35 |
| Free particle | p. 35 |
| General case | p. 36 |
| Heisenberg uncertainty relations | p. 36 |
| Size and energy of a quantum system | p. 37 |
| Stability of matter | p. 38 |
| Controversies and paradoxes | p. 40 |
| The 1927 Solvay Congress | p. 40 |
| The EPR paradox | p. 41 |
| Hidden variables, Bell's inequalities | p. 41 |
| The experimental test | p. 42 |
| Physical quantities | p. 45 |
| Statement of the problem | p. 46 |
| Physical quantities | p. 46 |
| Position and momentum | p. 47 |
| Observables | p. 48 |
| Position observable | p. 49 |
| Momentum observable | p. 49 |
| Correspondence principle | p. 50 |
| Historical landmarks | p. 50 |
| A counterexample of Einstein and its consequences | p. 51 |
| What do we know after a measurement? | p. 53 |
| Eigenstates and eigenvalues of an observable | p. 54 |
| Wave packet reduction | p. 55 |
| The specific role of energy | p. 56 |
| The Hamiltonian | p. 56 |
| The Schrodinger equation, time and energy | p. 57 |
| Stationary states | p. 58 |
| Motion: Interference of stationary states | p. 59 |
| Schrodinger's cat | p. 60 |
| The dreadful idea | p. 60 |
| The classical world | p. 63 |
| Energy quantization | p. 65 |
| Methodology | p. 65 |
| Bound states and scattering states | p. 66 |
| One-dimensional problems | p. 67 |
| The harmonic oscillator | p. 67 |
| Harmonic potential | p. 67 |
| Energy levels, eigenfunctions | p. 68 |
| Square well potentials | p. 69 |
| Square potentials | p. 69 |
| Symmetric square well | p. 70 |
| Infinite well, particle in a box | p. 73 |
| Double well, the ammonia molecule | p. 74 |
| The model | p. 74 |
| Stationary states, the tunnel effect | p. 75 |
| Energy levels | p. 76 |
| Wave functions | p. 78 |
| Inversion of the molecule | p. 79 |
| Illustrations and applications of the tunnel effect | p. 81 |
| Sensitivity to the parameters | p. 81 |
| Molecular structure | p. 82 |
| Tunneling microscopy, nanotechnologies | p. 84 |
| Nanotechnologies | p. 84 |
| Classical limit | p. 85 |
| Principles of quantum mechanics | p. 87 |
| Hilbert space | p. 88 |
| Two-dimensional space | p. 89 |
| Square integrable functions | p. 89 |
| Dirac formalism | p. 92 |
| Notations | p. 92 |
| Operators | p. 93 |
| Syntax rules | p. 95 |
| Projectors; decomposition of the identity | p. 95 |
| Measurement results | p. 96 |
| Eigenvectors and eigenvalues of an observable | p. 96 |
| Results of the measurement of a physical quantity | p. 97 |
| Probabilities | p. 98 |
| The Riesz spectral theorem | p. 98 |
| Physical meaning of various representations | p. 100 |
| Principles of quantum mechanics | p. 101 |
| The principles | p. 101 |
| The case of a continuous spectrum | p. 102 |
| Interest of this synthetic formulation | p. 102 |
| Heisenberg's matrices | p. 103 |
| Matrix representation of operators | p. 103 |
| Matrices X and P | p. 104 |
| Heisenberg's thoughts | p. 104 |
| The polarization of light, quantum "logic" | p. 107 |
| Two-state systems | p. 113 |
| The NH[subscript 3] molecule | p. 113 |
| "Two-state" system | p. 114 |
| Matrix quantum mechanics | p. 116 |
| Vectors | p. 116 |
| Hamiltonian | p. 117 |
| Observables | p. 117 |
| Examples | p. 119 |
| Basis of classical configurations | p. 119 |
| Interference and measurement | p. 120 |
| NH[subscript 3] in an electric field | p. 120 |
| Uniform constant field | p. 121 |
| Weak and strong field regimes | p. 122 |
| Other two-state systems | p. 123 |
| The ammonia molecule in an inhomogeneous field | p. 123 |
| Force on the molecule in an inhomogeneous field | p. 124 |
| Population inversion | p. 126 |
| Reaction to an oscillating field, the maser | p. 126 |
| Principle and applications of the maser | p. 128 |
| Amplifiers | p. 129 |
| Oscillators | p. 130 |
| Atomic clocks | p. 130 |
| Tests of relativity | p. 132 |
| Neutrino oscillations | p. 134 |
| Lepton families | p. 134 |
| Mechanism of the oscillations; reactor neutrinos | p. 135 |
| Successive hermaphroditism of neutrinos | p. 138 |
| Algebra of observables | p. 143 |
| Commutation of observables | p. 143 |
| Fundamental commutation relation | p. 143 |
| Other commutation relations | p. 144 |
| Dirac in the summer of 1925 | p. 145 |
| Uncertainty relations | p. 146 |
| Evolution of physical quantities | p. 147 |
| Evolution of an expectation value | p. 147 |
| Particle in a potential, classical limit | p. 148 |
| Conservation laws | p. 149 |
| Algebraic resolution of the harmonic oscillator | p. 150 |
| Operators a, a, and N | p. 151 |
| Determination of the eigenvalues | p. 151 |
| Eigenstates | p. 152 |
| Commuting observables | p. 154 |
| Theorem | p. 154 |
| Example | p. 155 |
| Tensor structure of quantum mechanics | p. 155 |
| Complete set of commuting observables (CSCO) | p. 156 |
| Completely prepared quantum state | p. 157 |
| Sunday, September 20, 1925 | p. 158 |
| Angular momentum | p. 161 |
| Fundamental commutation relation | p. 162 |
| Classical angular momentum | p. 162 |
| Definition of an angular momentum observable | p. 162 |
| Results of the quantization | p. 163 |
| Proof of the quantization | p. 163 |
| Statement of the problem | p. 163 |
| Vectors j, m > and eigenvalues j and m | p. 164 |
| Operators J[Characters not reproducible] = J[subscript x Characters not reproducible] iJ[subscript y] | p. 165 |
| Quantization | p. 166 |
| Orbital angular momenta | p. 168 |
| Formulae in spherical coordinates | p. 168 |
| Integer values of m and l | p. 168 |
| Spherical harmonics | p. 169 |
| Rotation energy of a diatomic molecule | p. 170 |
| Diatomic molecule | p. 171 |
| The CO molecule | p. 172 |
| Angular momentum and magnetic moment | p. 173 |
| Classical model | p. 173 |
| Quantum transposition | p. 175 |
| Experimental consequences | p. 175 |
| Larmor precession | p. 176 |
| What about half-integer values of j and m? | p. 177 |
| The Hydrogen Atom | p. 179 |
| Two-body problem; relative motion | p. 180 |
| Motion in a central potential | p. 182 |
| Spherical coordinates, CSCO | p. 182 |
| Eigenfunctions common to H, L[superscript 2], and L[subscript z] | p. 182 |
| Quantum numbers | p. 183 |
| The hydrogen atom | p. 186 |
| Atomic units; fine structure constant | p. 186 |
| The dimensionless radial equation | p. 188 |
| Spectrum of hydrogen | p. 191 |
| Stationary states of the hydrogen atom | p. 191 |
| Dimensions and orders of magnitude | p. 193 |
| Historical landmarks | p. 194 |
| Muonic atoms | p. 195 |
| Spin 1/2 | p. 199 |
| Experimental results | p. 199 |
| Spin 1/2 formalism | p. 200 |
| Representation in a particular basis | p. 201 |
| Matrix representation | p. 201 |
| Complete description of a spin 1/2 particle | p. 202 |
| Observables | p. 203 |
| Physical spin effects | p. 204 |
| Spin magnetic moment | p. 205 |
| Hamiltonian of a one-electron atom | p. 205 |
| The Stern-Gerlach experiment | p. 206 |
| Principle of the experiment | p. 206 |
| Semi-classical analysis | p. 207 |
| Experimental results | p. 208 |
| Explanation of the Stern-Gerlach experiment | p. 208 |
| Successive Stern-Gerlach setups | p. 211 |
| Measurement along an arbitrary axis | p. 211 |
| The discovery of spin | p. 213 |
| The hidden sides of the Stern-Gerlach experiment | p. 213 |
| Einstein and Ehrenfest's objections | p. 215 |
| Anomalous Zeeman effect | p. 216 |
| Bohr's challenge to Pauli | p. 217 |
| The spin hypothesis | p. 217 |
| The fine structure of atomic lines | p. 218 |
| Magnetism, magnetic resonance | p. 219 |
| Spin effects, Larmor precession | p. 220 |
| Larmor precession in a fixed magnetic field | p. 221 |
| Rabi's calculation and experiment | p. 221 |
| Nuclear magnetic resonance | p. 225 |
| Magnetic moments of elementary particles | p. 227 |
| Entertainment: Rotation by 2[pi] of a spin 1/2 | p. 228 |
| The Pauli Principle | p. 229 |
| Indistinguishability of two identical particles | p. 230 |
| Identical particles in classical physics | p. 230 |
| The quantum problem | p. 230 |
| Example of ambiguities | p. 231 |
| Systems of two spin 1/2 particles, total spin | p. 232 |
| The Hilbert space of the problem | p. 232 |
| Hilbert space of spin variables | p. 232 |
| Matrix representation | p. 233 |
| Total spin states | p. 233 |
| Two-particle system; the exchange operator | p. 235 |
| The Hilbert space for the two-particle system | p. 235 |
| The exchange operator between identical particles | p. 236 |
| Symmetry of the states | p. 237 |
| The Pauli principle | p. 238 |
| The case of two particles | p. 238 |
| Independent fermions and exclusion principle | p. 239 |
| The case of N identical particles | p. 239 |
| Physical consequences of the Pauli principle | p. 241 |
| Exchange force between two fermions | p. 241 |
| The ground state of N identical independent particles | p. 241 |
| Behavior of fermion and boson systems at low temperatures | p. 243 |
| Entangled states: The way of paradoxes | p. 247 |
| The EPR paradox | p. 247 |
| The version of David Bohm | p. 249 |
| Bell's inequality | p. 251 |
| Experimental tests | p. 254 |
| Quantum cryptography; how to enjoy a nuisance | p. 256 |
| The communication between Alice and Bob | p. 256 |
| Present experimental setups | p. 258 |
| Quantum teleportation | p. 260 |
| Bell states | p. 260 |
| Teleportation | p. 261 |
| Quantum mechanics in the Universe | p. 263 |
| Quantum mechanics and astronomy | p. 265 |
| Life and death of stars | p. 265 |
| Spectroscopy | p. 268 |
| Radioastronomy, the interstellar medium | p. 268 |
| The interstellar medium | p. 269 |
| Cosmic background radiation: Birth of the Universe | p. 273 |
| The 21-cm line of hydrogen | p. 275 |
| Hyperfine structure of hydrogen | p. 276 |
| Hydrogen maser | p. 278 |
| Importance of the 21-cm line | p. 279 |
| The Milky Way | p. 280 |
| The intergalactic medium; star wars | p. 281 |
| Spiral arms, birthplaces of stars | p. 285 |
| Interstellar molecules, the origin of life | p. 287 |
| Rotation spectra of molecules | p. 287 |
| Interstellar molecules | p. 288 |
| The origin of life | p. 289 |
| Where are they? Quantum mechanics, the universal cosmic language | p. 291 |
| Life, intelligence, and thought | p. 291 |
| Listening to extraterrestrials | p. 293 |
| Quantum mechanics, the universal cosmic language | p. 295 |
| Index | p. 303 |
| Table of Contents provided by Ingram. All Rights Reserved. |
ISBN: 9780387377421
ISBN-10: 0387377425
Published: 9th March 2007
Format: Hardcover
Language: English
Number of Pages: 328
Audience: College, Tertiary and University
Publisher: Springer Nature B.V.
Country of Publication: US
Dimensions (cm): 23.5 x 15.88 x 1.91
Weight (kg): 0.56
Shipping
| Standard Shipping | Express Shipping | |
|---|---|---|
| Metro postcodes: | $9.99 | $14.95 |
| Regional postcodes: | $9.99 | $14.95 |
| Rural postcodes: | $9.99 | $14.95 |
Orders over $79.00 qualify for free shipping.
How to return your order
At Booktopia, we offer hassle-free returns in accordance with our returns policy. If you wish to return an item, please get in touch with Booktopia Customer Care.
Additional postage charges may be applicable.
Defective items
If there is a problem with any of the items received for your order then the Booktopia Customer Care team is ready to assist you.
For more info please visit our Help Centre.

























