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Journal Article

Identical classical particles: Half fermions and half bosons

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Toeppel,  Falk
Optics Theory Group, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Aiello,  Andrea
Optical Quantum Information Theory, Leuchs Division, Max Planck Institute for the Science of Light, Max Planck Society;

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Citation

Toeppel, F., & Aiello, A. (2013). Identical classical particles: Half fermions and half bosons. PHYSICAL REVIEW A, 88(1): 012130. doi:10.1103/PhysRevA.88.012130.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002D-6737-2
Abstract
We study the problem of particle indistinguishability for the three cases known in nature: identical classical particles, identical bosons, and identical fermions. By exploiting the fact that different types of particles are associated with Hilbert space vectors with different symmetries, we establish some relations between the expectation value of several different operators, as the particle number one and the interparticle correlation one, evaluated for states of a pair of identical classical particles, bosons, and fermions. We find that the quantum behavior of a pair of identical classical particles has exactly half fermionic and half bosonic characteristics.