IISc-CTS-5/93 hep-th/9309077 ANOTHER LOOK AT BELL’S INEQUALITIES AND QUANTUM MECHANICS †
نویسنده
چکیده
Feynman's path integrals provide a hidden variable description of quantum mechanics (and quantum field theories). The expectation values defined through path integrals obey Bell's inequalities in Euclidean time, but not in Minkowski time. This observation allows us to pinpoint the origin of violation of Bell's inequalities in quantum mechanics. It is common, and often more convenient, to study quantum mechanics using the Schrödinger/Dirac equations and the Heisenberg operator algebra. Feynman's path integral formulation of quantum mechanics [1], nonetheless, is an alternative approach from which all the known results of quantum mechanics can be derived. In fact, quantum field theories are studied, more often than not, using the path integral formulation. For simplicity , let us consider quantum mechanics in one space dimension. The total amplitude (or wavefunction) for the system to be in the state ψ(x f , T) at time t = T , given an initial state ψ(x, 0), is defined in terms of the transition kernel [Dx(t)] exp[ i ¯ h S(x(t))] .
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