Quantum Theory: Concepts and Methods
Springer Science & Business Media, 30.09.1995 - 450 Seiten
This book will be useful to anyone who wants to understand the use of quantum theory for the description of physical processes. It is a graduate level text, ideal for independent study, and includes numerous figures, exercises, bibliographical references, and even some computer programs. The first chapters introduce formal tools: the mathematics are precise, but not excessively abstract. The physical interpretation too is rigorous. It makes no use of the uncertainty principle of other ill-defined notions. The central part of the book is devoted to Bell's theorem and to the Kochen-Specker theorem. It is here that quantum phenomena depart most radically from classical physics. There has recently been considerable progress on these issues, and the latest developments have been included. The final chapters discuss further topics of current research: spacetime symmetries, quantum thermodynamics and information theory, semiclassical methods, irreversibility, quantum chaos, and especially the measuring process. In particular, it is shown how modern techniques allow the extraction of more information from a physical system than traditional measurement methods. For physicists, mathematicians and philosophers of science with an interest in the applications and foundations of quantum theory. The volume is suitable as a supplementary graduate textbook.
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angle arbitrary atom basis beam Bell’s bosons canonical CHSH inequality commute complete components consider correlated corresponding defined degrees of freedom denote density matrix detector diagonal dimensional dynamical variables eigenstates eigenvalues eigenvectors elements energy entropy equations of motion evolution example Exercise experimental fermions follows given Hamiltonian Heisenberg Heisenberg picture Hermitian hidden variables Hilbert space identical inequality initial integral interaction invariant Kochen-Specker theorem Likewise Liouville density macroscopic magnetic maximal test meaning measurement observable obtain operator orbit orthogonal orthonormal outcomes pair parameters particles phase space photons Phys physical system Poisson brackets possible POVM predict preparation probability projectors properties pure Pµm quantum mechanics quantum system quantum test quantum theory rays represented result right hand side rotation satisfy scalar product Schrödinger self-adjoint Show spin statistical Stern-Gerlach experiment symmetry theorem unitary matrix unitary transformation vector wave function wave packet