Quantum statistics, distinguishability and random trajectories

Dasgupta, Ratan; Roy, Sisir

doi:10.1016/0375-9601(90)90525-s

Cited by 5 publications

(3 citation statements)

References 6 publications

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“…The Bose-Einstein statistics for indistinguishable micro particles may be explained and interpreted [1] within the framework of traditional probability theory. BoseEinstein statistics may be characterized by considering it as a compound distribution of a multinomial distribution with a Dirichlet distribution.…”

Section: Introductionmentioning

confidence: 99%

Multinomial Distribution, Quantum Statistics and Einstein-Podolsky-Rosen Like Phenomena

Dasgupta

Roy

2008

Found Phys

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Section: Introductionmentioning

confidence: 99%

Multinomial Distribution, Quantum Statistics and Einstein-Podolsky-Rosen Like Phenomena

Dasgupta

Roy

2008

Found Phys

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“…Description of partly distinguishable particles may arise, even if the perturbation to the uniform prior distribution on Δ is negligible. This intermediate situation may occur, if one assumes that occupation of a state by a particle, has an influence on the occupation of other states in a particular way [16,17]. Therefore, these kind of distributions are useful in the study of the interaction of the particle and the apparatus which gives rise to measurement.…”

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confidence: 99%

“…In a series of papers, the authors [16,17] studied the different aspects of Bose-Einstein statistics as it is a compound distribution of multinomial distribution with Dirichlet distribution. Let W = (W 1 , W 2 , .…”

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Double Coil Resonance Experiment and Partial Reduction of Wave Packet in Quantum Mechanics

Dasgupta

Roy

2007

Int J Theor Phys

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Interference and measurement aspects for the double coil resonance experiment are reanalyzed. The resulting situation is analogous to partial reduction of wave packet in quantum mechanics. Using convergence results of relative frequencies, magnitudes of the intensity are calculated when prior probabilities are assigned to the coefficients associated with the states.Neutron interferometry has become a very powerful tool in testing the physical basis of quantum theory. In a series of experiments, Badurek et al. [1,2] confirmed once again the predictions of quantum theory. It may be considered as powerful success of quantum formalism. However, Dewdney et al. [3] reported the inadequacy of Copenhagen interpretation. Apart from the interpretational problem, the aspect which is becoming more and more focused, concerns the theory of measurement without the collapse of the state vector [4]. Regarding this experiment, Rauch himself expressed doubt whether the energy exchange with the resonance frequency coils should be considered as real measuring process. In this paper, we reanalyze the whole situation within the conventional framework of quantum mechanics. Instead of considering the resonance frequency coils as constituting the measuring process, we consider them as the devices to producing two orthogonal states in the two paths in double slit experiment. Taking this intermediate splitting in the wave functions, we study the interference phenomena. Moreover, this experiment confirms that we can get interference pattern even for a single neutron and, as a consequence, the whole experiment R. Dasgupta ( )

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Growth Model for Micro-Particles Towards Indistinguishability and Dirichlet Prior

Dasgupta

2017

Springer Proceedings in Mathematics &Amp; Statistics

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Quantum statistics, distinguishability and random trajectories

Cited by 5 publications

References 6 publications

Multinomial Distribution, Quantum Statistics and Einstein-Podolsky-Rosen Like Phenomena

Multinomial Distribution, Quantum Statistics and Einstein-Podolsky-Rosen Like Phenomena

Double Coil Resonance Experiment and Partial Reduction of Wave Packet in Quantum Mechanics

Growth Model for Micro-Particles Towards Indistinguishability and Dirichlet Prior

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