The Ensemble Quantum State of a Single Particle |
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Authors: | Abdulmuhsen H Ali |
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Institution: | (1) P.O. Box 483, Yarmouk, 72655, Kuwait |
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Abstract: | The derivation of the statistical nature of the quantum mechanical wave function is presented within the formalism of quantum
mechanics and the second quantization. The statistical wave function may be derived for non relativistic bosons, non relativistic
fermions, and relativistic bosons by employing the commuting field operator
. For relativistic electrons a strictly anticommuting
must be employed to derive the statistical wave function (spinor). The discussion at the end of the paper aims to show the
physical plausibility of a statistical wave function. |
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Keywords: | Ensemble Quantum state Second quantization Relativistic ensemble states Eigenstates Annihilation operator Grassmann field |
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