Foundations of Quantum Mechanics, an Empiricist Approach

Naslovnica
Springer Science & Business Media, 11. tra 2006. - Broj stranica: 684

Old and new problems of the foundations of quantum mechanics are viewed from the new perspective provided by a generalization of the mathematical formalism encompassing positive operator-valued measures. One objective is to demonstrate the crucial role the generalized formalism plays in fundamental issues as well as in practical applications, and to contribute to the development of the operational approach.

A second objective is the development of an empiricist interpretation of this approach, duly taking into account the role played by the measuring instrument in quantum mechanical measurements. Copenhagen and anti-Copenhagen interpretations are critically assessed, and found to be wanting due to insufficiently taking into account the measurement interaction.

The Einstein-Podolsky-Rosen problem and the problem of the Bell inequalities are discussed, starting from this new perspective. An explanation of violation of the Bell inequalities is developed, providing an alternative to the usual explanation on the basis of non-locality. This treatise is based on lecture notes of an advanced course on the foundations of quantum mechanics.

 

Odabrane stranice

Sadržaj

Standard and generalized formalisms of quantum mechanics
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Propositions referring to a single quantum mechanical observable
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which one to choose?
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Problems of an individualparticle interpretation 6 3
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Generalized quantum mechanics
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Complementarity in a joint nonideal measurement of two incompati
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position and momentum Wigner measure of the ArthursKelly model 8 2 407 ables 8 3 SternGerlach experiments 8 2 1 8 2 2 8 2 3 8 2 4 8 2 5 8 2 6 ...
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The
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Implications of nonquasiobjectivism Contextual states for generalized measurements Thermodynamic analogy A Mathematical appendix A 1 A 2 A 3...
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ables Interpretations and the classical limit 3 Quantum mechanical description of measurement and the mea
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Individualparticle and ensemble interpretations of quantum
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Autorska prava

Ostala izdanja - Prikaži sve

Foundations of Quantum Mechanics, an Empiricist Approach
W.M. de Muynck
Ograničeni pregled - 2002
Foundations of Quantum Mechanics, an Empiricist Approach
W.M. de Muynck
Pregled nije dostupan - 2002
Foundations of Quantum Mechanics, an Empiricist Approach
W.M. de Muynck
Pregled nije dostupan - 2010

Uobičajeni izrazi i fraze

analogous atomic attributed Bell inequality Bohr Bohr’s chapter classical mechanics complementarity completeness concept conditional preparation considered contextual contextualistic-realist Copenhagen interpretation correlation correspondence principle decoherence defined density operator described detector discussed in section domain of application double-slit experiment eigenvalues eigenvectors Einstein empiricist interpretation ensemble interpretation EPR problem exist experimental Heisenberg inequality Hence Hermitian operator hidden-variables theories Hilbert space implies incompatible observables indeterminacy individual-particle interpretation interaction interpretation of quantum joint measurement latter measurement arrangement measurement procedure measurement process measuring instrument mechanical measurement results ment microscopic object Neumann nonlocality obtained orthogonal phase space photon pointer position position and momentum possible POVM probability distribution projection operator projection postulate quantum mechanical formalism quantum mechanical measurement quantum mechanical observables realist interpretation reason referred relation representation represented satisfy Schrödinger equation standard formalism standard observables statistical subensembles subquantum theories subspace surement theorem thought tion vector wave function wider sense yield

Bibliografski podaci

NaslovFoundations of Quantum Mechanics, an Empiricist Approach
Opseg 127 iz Fundamental Theories of Physics
AutorW.M. de Muynck
Izdanjeilustrirano
IzdavačSpringer Science & Business Media, 2006
ISBN0306480476, 9780306480478
DuljinaBroj stranica: 684
  
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