Quantum Mechanics - Brossura

Rae, Alastair I. M.

Brossura

ISBN 10: 0750308397 ISBN 13: 9780750308397

Casa editrice: Taylor & Francis, 2002

Riassunto

Continuing the exceptional tradition of the previous editions, Quantum Mechanics, Fourth Edition provides essential information about atomic and subatomic systems and covers some modern applications of the field.

Supported by a Web page that contains a bibliography, color versions of some of the illustrations, and links to other relevant sites, the book shows how cutting-edge research topics of quantum mechanics have been applied to various disciplines. It first demonstrates how to obtain a wave equation whose solutions determine the energy levels of bound systems. The theory is then made more general and applied to a number of physical examples. Later chapters describe the connection between relativity and quantum mechanics, give some examples of how quantum mechanics has been used in information processing, and, finally, discuss the conceptual and philosophical implications of the subject.

New to the Fourth Edition:

A chapter on quantum information processing that includes applications to the encryption and de-encryption of coded messages

A chapter on relativistic quantum mechanics and introductory quantum field theory

Updated material on the conceptual foundations of quantum physics containing discussions of non-locality, hidden variables, and parallel universes

Expanded information on tunneling microscopy and the Bose-Einstein condensate

Presenting up-to-date information on the conceptual and philosophical aspects of quantum mechanics, this revised edition is suitable both for undergraduates studying physics, chemistry, or mathematics and for researchers involved in quantum physics.

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Contenuti

PREFACES
INTRODUCTION
The photoelectric effect
The Compton effect
Line spectra and atomic structure
De Broglie waves
Wave-particle duality
The rest of this book
THE ONE-DIMENSIONAL SCHRÖDINGER EQUATIONS
The time-dependent Schrödinger equation
The time-independent Schrödinger equation
Boundary conditions
Examples
Quantum mechanical tunneling
The harmonic oscillator
THE THREE- DIMENSIONAL SCHRÖDINGER EQUATIONS
The wave equations
Separation in Cartesian coordinates
Separation in spherical polar coordinates
The hydrogenic atom
THE BASIC POSTULATES OF QUANTUM MECHANICS
The wavefunction
The dynamical variables
Probability distributions
Commutation relations
The uncertainty principle
The time dependence of the wavefunction
Degeneracy
The harmonic oscillator again
The measurement of momentum by Compton scattering
ANGULAR MOMENTUM I
The angular-momentum operators
The eigenvalues and eigenfunctions
The experimental measurement of angular momentum
General solution to the eigenvalue problem
ANGULAR MOMENTUM II
Matrix representations
Pauli spin matrices
Spin and the quantum theory of measurement
Dirac notation
Spin-orbit coupling and the Zeeman effect
A more general treatment of the coupling of angular momenta
TIME-INDEPENDENT PERTURBATION THEORY AND THE VARIATIONAL PRINCIPLE
Perturbation theory for non-degenerate energy levels
Perturbation theory for degenerate levels
The variational principle
TIME DEPENDENCE
Time-independent Hamiltonians
The sudden approximation
Time-dependent perturbation theory
Selection rules
The Ehrenfest theorem
The ammonia maser
SCATTERING
Scattering in one dimension
Scattering in three dimensions
The Born approximation
Partial wave analysis
MANY-PARTICLE SYSTEMS
General considerations
Isolated systems
Non-interacting particles
Indistinguishable particles
Many-particle systems
The helium atom
Scattering of identical particles
RELATIVITY AND QUANTUM MECHANICS
Basic results in special relativity
The Dirac equation
Antiparticles
Other wave equations
Quantum field theory and the spin-statistics theorem
QUANTUM INFORMATION
Quantum cryptography
Entanglement
Teleportation
Quantum computing
THE CONCEPTUAL PROBLEMS OF QUANTUM MECHANICS
The conceptual problems
Hidden-variable theories
Non-locality
The quantum-mechanical measurement problem
The ontological problem
HINTS TO SOLUTION OF PROBLEMS
INDEX
*Problems appear at the end of each chapter.

Dettagli dell'edizione

• Editore: Taylor & Francis
• Data di pubblicazione: 2002
• Lingua: Inglese
• ISBN 10: 0750308397
• ISBN 13: 9780750308397
• Rilegatura: Copertina flessibile
• Numero edizione: 4
• Numero di pagine: 320
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile