عنوان

Beyond quantum

(Number (ISBN

9789814411738

(Number (ISBN

9814411736

Number

b597278

Title Proper

Beyond quantum

General Material Designation

[Book]

First Statement of Responsibility

Andrei Khrennikov.

Place of Publication, Distribution, etc.

Boca Raton, Florida

Name of Publisher, Distributor, etc.

Pan Stanford Publishing

Date of Publication, Distribution, etc.

2014

Text of Note

IntroductionAuthor's views on quantum foundationsPrequantum classical statistical field theory: introductionWhere is discreteness? Devil in detectors?On experiments to tests the Euclidean modelConventional quantum theory: fundamentalsPostulatesQuantizationInterpretations of Wave FunctionVaxjo interpretation of quantum mechanicsShort introduction to classical probability theoryQuantum Conditional ProbabilityInterference of Probabilities in Quantum MechanicsTwo slit experimentCorpuscular interferenceInterference of probabilities in cognitive scienceFundamentals of Prequantum Classical Statistical Field TheoryNoncomposite systemsComposite systemsStochastic process corresponding to Schrodinger's evolutionCorrelations of the components of the prequantum fieldPCSFT-formalism for classical electromagnetic field-1Discussion of a possible experimental verification of PCSFTPhotonic fieldCorrelation between polarization vectors of entangled photonsFunctionals of prequantum fields corresponding to operators of photon polarizationClassical representation of Heisenberg's uncertainty relationTowards violation of Born's rule: description of a simple experimentWhy Gaussian?On correspondence between quantum observables and classical variablesPrequantum Dynamics from Hamiltonian Equations on the Infinite-dimensional Phase SpaceHamiltonian mechanicsSymplectic representation of Schroedinger dynamicsClassical and quantum statistical modelsMeasures on Hilbert spacesLifting of pointwise dynamics to spaces of variables and measuresDispersion preserving dynamicsDynamics in the space of physical variablesProbabilistic dynamicsDetailed analysis of dispersion preserving dynamicsQuantum Mechanics as Approximation of Statistical Mechanics of Classical FieldsThe Taylor approximation of averages for functions of random variablesQuantum model: finite-dimensional casePrequantum quantum correspondence: finite dimensional casePrequantum phase space: infinite-dimensional caseGaussian measures corresponding to pure quantum statesIllustration of the prequantum quantum coupling in the case of qubit mechanicsPrequantum classical statistical field theory (PCSFT)PCSFT-formalism for classical electromagnetic field-2Asymptotic expansion of averages with respect to electromagnetic random fieldInterpretationSimulation of quantum-like behavior for the classical electromagnetic field Maxwell equations as Hamilton equations or as Schroedinger equationQuadratic variables without quantum counterpartGeneralization of quantum mechanicsCoupling between the time scale and dispersion of a prequantum random signalSupplementary Mathematical ConsiderationsDispersion preserving dynamics with nonquadratic Hamilton functionsFormalism of rigged Hilbert spaceQuantum pure and mixed states from the background fieldClassical model for unbounded quantum observablesMathematical Presentation for Composite SystemsDerivation of basic formulasVector and operator realizations of the tensor productOperation of the complex conjugation in the space of self-adjoint operatorsThe basic operator equality for arbitrary (bounded) self-adjoint operatorsOperator representation of reduced density operatorsClassical random field representation of quantum correlationsInfinite-dimensional caseCorrelations in triparticle systemsPCSFT-representation for a mixed statePhenomenological Detection Model 271Finite-dimensional modelPosition measurement for the prequantum fieldField's energy detection modelCoupling between probabilities of detection of classical random fields and quantum particlesDeviation from predictions of quantum mechanicsAveragesLocal measurementsMeasurement of observables with discrete spectraClassical field treatment of discarding of noise contribution in quantum detectorsQuantum channels as linear filters of classical signalsQuantum individual eventsClassical random signals: ensemble and time representations of averagesDiscrete-counts model for detection of classical random signalsQuantum probabilities from threshold type detectorsThe case of an arbitrary density operatorThe general scheme of threshold detection of classical random signalsProbability of coincidenceStochastic process description of detection

Probabilities.

Quantum theory.

Statistical physics.

Class number

Book number

Andrei Khrennikov.

Andrei Yu Khrennikov

Electronic name

[Book]

Y