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The examples of the ninionic (27) thermal occupation numbers corresponding to (a) bosons and (b) fermions in the thermal equilibrium for a set of the parameters ξ. The latter are related to the imaginary angular frequency and the statistical parameter χ via Eqs. (3) and (25). The case ξ = 0 corresponds to the standard Bose-Einstein and Fermi-Dirac distributions, respectively.
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We suggest the existence of systems in which the statistics of a particle changes with the quantum level it occupies. We show that such systems are characterized by coherent rotational states represented by superpositions of energy-degenerate angular momentum modes. The occupation numbers in thermal equilibrium depend on a continuous statistical pa...
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Context 2
... property is seen in Fig. 5(a). On the other hand, under the imaginary rotation, the fermions give rise to 0.0 0.5 the ninions that have a negative occupation number just above the Fermi surface. This effect is visible in Fig. 5(b). We suggest that ninions can appear in the many-body systems where the negative occupation number from a ninion is accompanied by a ...
Context 3
... property is seen in Fig. 5(a). On the other hand, under the imaginary rotation, the fermions give rise to 0.0 0.5 the ninions that have a negative occupation number just above the Fermi surface. This effect is visible in Fig. 5(b). We suggest that ninions can appear in the many-body systems where the negative occupation number from a ninion is accompanied by a larger positive contribution from other states, so that the total particle density remains non-negative. The physical circumstances of the negative density of ninions should be similar to the physics of ...
