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Is Quantum Mechanics a Probabilistic Theory?

Peter Mittelstaedt

Boston studies in the philosophy of scienceJan 1, 19973 citations

Feynman’s approach to negative probability in quantum mechanics

Marlan O. Scully, HERBERT WALTHER, Wolfgang P. Schleich

Feynman introduces the concept of negative probability in the context of Young's double-slit experiment and in doing so sheds a new light on the problem. However, there are, as Feynman notes, conceptual problems as well as insights associated with this point of view. The micromaser which-path (Welcher-Weg) detector eliminates these conceptual difficulties. We also emphasize that the concept of negative probability yields useful insight into the Einstein-Podolsky-Rosen (EPR) problem.

Physical Review AMar 1, 199465 citations

A hidden-variables versus quantum mechanics experiment

Adán Cabello, Guillermo García Alcaine

In the light of the Bell-Kochen-Specker theorem, we examine a feasible experimental test in order to discriminate between non-contextual hidden-variables and some probabilistic predictions of quantum mechanics.

Journal of Physics A Mathematical and GeneralJul 7, 199512 citations

Path Integral Formalism Intuitive Approach

Lukong Cornelius Fai

One of the important classic experiments that led to the fundamental difference between quantum and classical mechanics is the double slit experiment, which is interesting with respect to the path integral formalism since it leads to a conceptual motivation for introducing it. From Quantum Mechanics, the probability amplitude can also be determined from the Schrodinger equation as it describes the wave properties of the particles. From Quantum Mechanics, the probability amplitude (square of the probability function or wave function) can also be determined from the Schrodinger equation as it describes the wave properties of the particles. Here, the role of the trajectory of a point-like particle, formally is revived in a way compatible with the indetermination principle and is indeed the path integral approach to quantum mechanics.One of the important classic experiments that led to the fundamental difference between quantum and classical mechanics is the double slit experiment, which is interesting with respect to the path integral formalism since it leads to a conceptual motivation for introducing it. From Quantum Mechanics, the probability amplitude can also be determined from the Schrodinger equation as it describes the wave properties of the particles. From Quantum Mechanics, the probability amplitude (square of the probability function or wave function) can also be determined from the Schrodinger equation as it describes the wave properties of the particles. Here, the role of the trajectory of a point-like particle, formally is revived in a way compatible with the indetermination principle and is indeed the path integral approach to quantum mechanics.

CRC Press eBooksFeb 19, 20210 citations

Probability and quantum mechanics

Daniel J. Velleman

We discuss the use of probability theory in quantum mechanics, and suggest that there are some interpretations of quantum mechanics in which probabilities may be used inappropriately.

American Journal of PhysicsNov 1, 19984 citations

An analysis of Young’s double slit experiment in the light of Schrodinger’s cat

Abhijit Hazarika, L.K. Rajkhowa, Bibhas Kumar Dutta +3 more

Quantum interference is a challenging phenomenon in quantum optics. According to this principle of superposition of quantum mechanics, elementary particles such as photon can not only be in more than one place at a given time, but that an individual particle can cross its own trajectory and interfere with the direction of its path. Thomas Young devised the double slit experiment to prove that light consisted of waves. Analysis of the double slit experiment and the interference pattern indicates that each photon not only goes through both the slits simultaneously, but traverses every possible trajectory on the way to the target, not just in theory, but in fact. In the present work we have analysed the situation in terms of quantum superposition and Schrodinger cat states in quantum optics. The nature of photon in this analysis is examinedQuantum interference is a challenging phenomenon in quantum optics. According to this principle of superposition of quantum mechanics, elementary particles such as photon can not only be in more than one place at a given time, but that an individual particle can cross its own trajectory and interfere with the direction of its path. Thomas Young devised the double slit experiment to prove that light consisted of waves. Analysis of the double slit experiment and the interference pattern indicates that each photon not only goes through both the slits simultaneously, but traverses every possible trajectory on the way to the target, not just in theory, but in fact. In the present work we have analysed the situation in terms of quantum superposition and Schrodinger cat states in quantum optics. The nature of photon in this analysis is examined

Archives of physics researchJan 1, 20120 citations

Shedding light (and dark) on quantum probabilities

Abstract

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Shedding light (and dark) on quantum probabilities

Abstract

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