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Spin is commonly thought to reflect the true quantum nature of microphysics. We show that spin is related to intrinsic and field-like properties of single particles. These properties change continuously in external magnetic fields.…

Quantum Physics · Physics 2007-05-23 W. A. Hofer

A nonrelativistic proof of the spin-statistics theorem is given in terms of the field operators satisfying commutation and anticommutation relations, which are introduced here in the coordinate space as a means to build the permutation…

Quantum Physics · Physics 2025-12-16 Takafumi Kita

Both the topics of entanglement and particle statistics have aroused enormous research interest since the advent of quantum mechanics. Using two pairs of entangled particles we show that indistinguishability enforces a transfer of…

Quantum Physics · Physics 2009-11-07 Y. Omar , N. Paunkovic , S. Bose , V. Vedral

Orthofermi statistics is characterized by an exclusion principle which is more ``exclusive'' than Pauli's exclusion principle: an orbital state shall not contain more than one particle, no matter what the spin direction is. The wavefunction…

High Energy Physics - Theory · Physics 2007-05-23 A. K. Mishra , G. Rajasekaran

The spin-statistics connection is derived in a simple manner under the postulates that the original and the exchange wave functions are simply added, and that the azimuthal phase angle, which defines the orientation of the spin part of each…

Quantum Physics · Physics 2014-02-04 Arthur Jabs

In this article, we discuss the identity and indistinguishability of quantum systems and the consequent need to introduce an extra postulate in Quantum Mechanics to correctly describe situations involving indistinguishable particles. This…

Quantum Physics · Physics 2009-11-11 Y. Omar

In this article the rotational invariance of entangled quantum states is investigated as a possible cause of the Pauli exclusion principle. First, it is shown that a certain class of rotationally invariant states can only occur in pairs.…

Quantum Physics · Physics 2022-10-12 Paul O'Hara

The traditional Standard Quantum Mechanics (SQM) theory is unable to solve the Spin-s problem, i.e., to justify the utterly important "Pauli Exclusion Principle". A complete and straightforward solution of the Spin-Statistics problem is…

Quantum Physics · Physics 2025-11-18 Enrico Santamato , Francesco De Martini

The traditional Standard Quantum Mechanics is unable to solve the Spin-Statistics problem, i.e. to justify the utterly important Pauli Exclusion Principle. We show that this is due to the non completeness of the standard theory due to an…

Quantum Physics · Physics 2014-08-06 Enrico Santamato , Francesco De Martini

A general and an arbitrarily efficient scheme for entangling the spins (or any spin-like degree of freedom) of two independent uncorrelated identical particles by a combination of two particle interferometry and which way detection is…

Quantum Physics · Physics 2009-11-07 S. Bose , D. Home

We explore the possibility that the connection between spin and statistics in quantum physics is of dynamical origin. We suggest that the gravitational field could provide a fully local mechanism for the phase that arises when fermionic and…

Quantum Physics · Physics 2021-12-08 Chiara Marletto , Vlatko Vedral

It is shown that the symmetry under parity of the wavefunctions of two identical particles with an arbitrary spin $s$ in three spatial dimensions accounts for the appropriate wavefunction exchange statistics under the permutations of…

Quantum Physics · Physics 2022-03-11 Dmitri V. Averin

We study how the spin-statistics theorem relates to the geometric structures on phase space that are introduced in quantisation procedures (namely a U(1) bundle and connection). The relation can be proved in both the relativistic and the…

Quantum Physics · Physics 2016-09-08 Charis Anastopoulos

The empirical rule that systems of identical particles always obey either Bose or Fermi statistics is customarily imposed on the theory by adding it to the axioms of nonrelativistic quantum mechanics, with the result that other statistical…

Quantum Physics · Physics 2022-07-28 J. C. Garrison

In this article, we begin with a review of Pauli's version of the spin-statistics theorem and then show, by re-defining the parameter associated with the Lie-Algebra structure of angular momentum, that another interpretation of the theorem…

Quantum Physics · Physics 2007-05-23 Paul O'Hara

We derive the statistical distribution functions for the Hubbard chain with infinite Coulomb repulsion among particles and for the statistical spin liquid with an arbitrary magnitude of the local interaction in momentum space. Haldane's…

Condensed Matter · Physics 2009-10-22 Krzysztof Byczuk , Jozef Spalek

We offer a possible physical explanation for the origin of the electron spin and the related antisymmetry of the wave function for a two-electron system, in the framework of nonrelativistic quantum mechanics as provided by linear stochastic…

Quantum Physics · Physics 2018-01-03 Ana María Cetto , Luis de la Peña , Andrea Valdés-Hernández

The s=1/2 Ising chain with uniform nearest-neighbor and next-nearest-neighbor coupling is used to construct a system of floating particles characterized by motifs of up to six consecutive local spins. The spin couplings cause the assembly…

Statistical Mechanics · Physics 2012-04-27 Ping Lu , Dan Liu , Gerhard Müller , Michael Karbach

A new kind of quantum statistics which interpolates between Bose and Fermi statistics is proposed beginning with the assumption that the quantum state of a many-particle system is a functional on the internal space of the particles. The…

Quantum Physics · Physics 2007-05-23 Zhi-Tao Yan

The adaptation of Wigner's induced representation for a relativistic quantum theory making possible the construction of wavepackets and admitting covariant expectation values for the coordinate operator x^\mu introduces a foliation on the…

Quantum Physics · Physics 2015-06-11 Lawrence Horwitz
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