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6 papers · 1 filter
Thermodynamics of ideal quantum gas with fractional statistics in D dimensions
Geoffrey G. Potter, Gerhard Muller, Michael Karbach
We present exact and explicit results for the thermodynamic properties (isochores, isotherms, isobars, response functions, velocity of sound) of a quantum gas in dimensions D>=1 an…
Schwarzian Derivatives and Cylinder Maps
Araceli Bonifant, John Milnor
We describe the way in which the sign of the Schwarzian derivative for a family of diffeomorphisms of the interval affects the dynamics of an associated many-to-one skew produc…
Non-perturbative Quantization of Phantom and Ghost Theories: Relating Definite and Indefinite Representations
André van Tonder, Miquel Dorca
We investigate the non-perturbative quantization of phantom and ghost degrees of freedom by relating their representations in definite and indefinite inner product spaces. For a la…
Spinon excitations in the XX chain: spectra, transition rates, observability
Mitsuhiro Arikawa, Michael Karbach, Gerhard Muller +1
The exact one-to-one mapping between (spinless) Jordan-Wigner lattice fermions and (spin-1/2) spinons is established for all eigenstates of the one-dimensional s = 1=2 XX model on…
Gravitational quantum states of neutrons in a rough waveguide
A. E. Meyerovich, V. V. Nesvizhevsky
A theory of gravitational quantum states of ultracold neutrons in waveguides with absorbing/scattering walls is presented. The theory covers recent experiments in which the ultraco…
Elliptic Curves as Attractors in Part 1: Dynamics
Araceli Bonifant, Marius Dabija, John Milnor
A study of rational maps of the real or complex projective plane of degree two or more, concentrating on those which map an elliptic curve onto itself, necessarily by an expanding…