Spin-Statistics Connection for Relativistic Quantum Mechanics

Demonstration of the spin-statistics connection in elementary quantum mechanics

The spin-statistics connection is proved using the methods of elementary quantum mechanics. The effect of exchange and space inversion operators on two-particle states is reviewed. The connection follows directly from successive application of these operations to the wave function for two identical particles in an s-state, evaluated at positions ±x, but at equal time.

The Spin-Statistics Connection in Quantum Gravity

It is well-known that in spite of sharing some properties with conventional particles, topological geons in general violate the spin-statistics theorem. On the other hand, it is generally believed that in quantum gravity theories allowing for topology change, using pair creation and annihilation of geons, one should be able to recover this theorem. In this paper, we take an alternative route, a...

Connecting spin and statistics in quantum mechanics

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 single-particle spin-component eigenfunction in the plane normal to the spinquantization axis, is exchanged along with the other parameters. The spin factor...

Spin–statistics transmutation in relativistic quantum field theories of dyons

We analyse spin and statistics of quantum dyon fields, i.e. fields carrying both electric and magnetic charge, in 3+1 space–time dimensions. It has been shown long time ago that, at the quantum mechanical level, a composite dyon made out of a magnetic pole of charge g and a particle of electric charge e possesses half– integral spin and fermionic statistics, if the constituents are bosons and t...

Relativistic Quantum Theory with Fractional Spin and Statistics