Results 1  10
of
139
REDUCED SPINSTATISTICS THEOREM
, 2002
"... As argued in our previous papers, it would be more natural to modify the standard approach to quantum theory by requiring that i) one unitary irreducible representation (UIR) of the symmetry algebra should describe a particle and its antiparticle simultaneously. This would automatically explain the ..."
Abstract
 Add to MetaCart
described by UIRs of the so(1,4) algebra can be only fermions; 3) as a consequence of the AB symmetry, the vacuum condition can be consistent only for particles with the halfinteger spin (in conventional units) and therefore only such particles can be elementary. In our approach the well known fact
Spinstatistics theorem and geometric quantisation
, 2008
"... We study the relation of the spinstatistics theorem to the geometric structures on phase space, which are introduced in quantisation procedures (namely a U(1) bundle and connection). The relation can be proved in both the relativistic and the nonrelativistic domain (in fact for any symmetry group ..."
Abstract

Cited by 4 (2 self)
 Add to MetaCart
We study the relation of the spinstatistics theorem to the geometric structures on phase space, which are introduced in quantisation procedures (namely a U(1) bundle and connection). The relation can be proved in both the relativistic and the nonrelativistic domain (in fact for any symmetry group
Rotational invariance and the spinstatistics theorem.
, 2003
"... 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. This is referred to as the coupling principle. This in turn s ..."
Abstract
 Add to MetaCart
to Pauli’s original spinstatistics theorem and finally in the last two sections, a theoretical justification, based on ClebschGordan coefficients and the experimental evidence respectively, is presented. KEY WORDS: rotational invariance, bosons, fermions, spinstatistics. 1
The spinstatistics theorem for anyons and plektons in d = 2
 1, Comm. Math. Phys
"... We prove the spinstatistics theorem for massive particles obeying braid group statistics in threedimensional Minkowski space. We start from first principles of local relativistic quantum theory. The only assumption is a gap in the mass spectrum of the corresponding charged sector, and a restrictio ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
We prove the spinstatistics theorem for massive particles obeying braid group statistics in threedimensional Minkowski space. We start from first principles of local relativistic quantum theory. The only assumption is a gap in the mass spectrum of the corresponding charged sector, and a
Identity, Geometry, Permutation And The SpinStatistics Theorem
, 1999
"... We examine historic formulations of the spinstatistics theorem (and previous attempts at simple geometrical proofs) from a point of view that involves no quantum field theory. In particular, we make a critical analysis of concepts of particle identity, state distinguishability and permutation, incl ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We examine historic formulations of the spinstatistics theorem (and previous attempts at simple geometrical proofs) from a point of view that involves no quantum field theory. In particular, we make a critical analysis of concepts of particle identity, state distinguishability and permutation
A spinstatistics theorem for certain topological geons
, 1153
"... We review the mechanism in quantum gravity whereby topological geons, particles made from nontrivial spatial topology, are endowed with nontrivial spin and statistics. In a theory without topology change there is no obstruction to “anomalous ” spinstatistics pairings for geons. However, in a sumo ..."
Abstract

Cited by 21 (2 self)
 Add to MetaCart
We review the mechanism in quantum gravity whereby topological geons, particles made from nontrivial spatial topology, are endowed with nontrivial spin and statistics. In a theory without topology change there is no obstruction to “anomalous ” spinstatistics pairings for geons. However, in a sum
The spinstatistics theorem — did Pauli get it right?
, 2001
"... In this article, we begin with a review of Pauli’s version of the spinstatistics theorem and then show, by redefining the parameter associated with the LieAlgebra structure of angular momentum, that another interpretation of the theorem may be given. It will be found that the vanishing commutator ..."
Abstract
 Add to MetaCart
In this article, we begin with a review of Pauli’s version of the spinstatistics theorem and then show, by redefining the parameter associated with the LieAlgebra structure of angular momentum, that another interpretation of the theorem may be given. It will be found that the vanishing commutator
The spinstatistics theorem — did Pauli get it right?
, 2001
"... In this article, we begin with a review of Pauli’s version of the spinstatistics theorem and then show, by redefining the parameter associated with the LieAlgebra structure of angular momentum, that another interpretation of the theorem may be given. It will be found that the vanishing commutator ..."
Abstract
 Add to MetaCart
In this article, we begin with a review of Pauli’s version of the spinstatistics theorem and then show, by redefining the parameter associated with the LieAlgebra structure of angular momentum, that another interpretation of the theorem may be given. It will be found that the vanishing commutator
Spatial Asymmetry For Particle Pairs And The SpinStatistics Theorem
, 1998
"... We discuss the conditions under which identical particles may yet be distinguishable and the relationship between particle permutation and exchange. We show that we can always define permutationsymmetric state vectors. When the particles are completely indistinguishable, then exchange is equivalent ..."
Abstract
 Add to MetaCart
the distinguishing features are reversed. There is a fundamental spatial asymmetry between the relative orientations of any two vectors in a common frame of reference that persists even in the limit that the vectors coincide. For a pair of particles this asymmetry between their spin quantization frames renders them
Results 1  10
of
139