Quantum MechanicsThe important changes quantum mechanics has undergone in recent years are reflected in this approach for students. A strong narrative and over 300 worked problems lead the student from experiment, through general principles of the theory, to modern applications. Stepping through results allows students to gain a thorough understanding. Starting with basic quantum mechanics, the book moves on to more advanced theory, followed by applications, perturbation methods and special fields, and ending with developments in the field. Historical, mathematical and philosophical boxes guide the student through the theory. Unique to this textbook are chapters on measurement and quantum optics, both at the forefront of current research. Advanced undergraduate and graduate students will benefit from this perspective on the fundamental physical paradigm and its applications. Online resources including solutions to selected problems, and 200 figures, with colour versions of some figures, are available at www.cambridge.org/Auletta. |
Contents
| 8 | |
Quantum observables and states | 43 |
subalgebras | 94 |
Quantum dynamics | 100 |
Summary | 138 |
Summary | 169 |
Summary | 188 |
Summary | 241 |
Matter and light | 355 |
Hydrogen and helium atoms | 401 |
Hydrogen molecular ion | 439 |
Quantum optics 45 5 | 455 |
state and correlations | 511 |
State measurement in quantum mechanics | 544 |
nonseparability | 567 |
quantum information | 628 |
Symmetries and conservation laws 2 59 | 259 |
Summary | 275 |
Summary | 349 |
Bibliography | 674 |
| 710 | |
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Common terms and phrases
amplitude angular momentum apparatus atom basis beam splitter bosons cavity classical mechanics coefficients coherent commutation relations components consequence constant corresponding decoherence defined definition density matrix density operator derive detection detector dynamics eigenfunctions eigenkets eigenstates eigenvalues eigenvectors electromagnetic field electron elements energy eigenvalues energy levels entanglement evolution example experimental fact fermions final finally find finite first formalism given Hamiltonian harmonic oscillator Hermitian Hermitian operator Hilbert space infinite initial integral interaction interference Let us consider macroscopic magnetic field motion obtain one-dimensional orthogonal orthonormal particle path perturbation phase photon Physical Review polarization position possible POVM Prob probability probability amplitude problem projectors properties quantization quantum mechanics quantum system qubit reflection representation represented result rotation satisfies Schrodinger equation solution specific spectrum spin Subsec sufficient superposition symmetric theorem theory uncertainty relation unitary operator unitary transformation vector wave function wave packet zero