Cambridge University Press, 16 abr. 2009 - 724 páginas
The important changes quantum mechanics has undergone in recent years are reflected in this new 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 new 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 new perspective on the fundamental physical paradigm and its applications. Online resources including solutions to selected problems, and 200 figures, with color versions of some figures, are available online.
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From classical mechanics to quantum mechanics
Quantum observables and states
Matter and light
Hydrogen and helium atoms
Hydrogen molecular ion
Quantum optics 45 5
state and correlations
State measurement in quantum mechanics
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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