550 research outputs found
Pairing of Parafermions of Order 2: Seniority Model
As generalizations of the fermion seniority model, four multi-mode
Hamiltonians are considered to investigate some of the consequences of the
pairing of parafermions of order two. 2-particle and 4-particle states are
explicitly constructed for H_A = - G A^+ A with A^+}= 1/2 Sum c_{m}^+ c_{-m}^+
and the distinct H_C = - G C^+ C with C^+}= 1/2 Sum c_{-m}^+ c_{m}^+, and for
the time-reversal invariant H_(-)= -G (A^+ - C^+)(A-C) and H_(+) = -G
(A^+dagger + C^+)(A+C), which has no analogue in the fermion case. The spectra
and degeneracies are compared with those of the usual fermion seniority model.Comment: 18 pages, no figures, no macro
Microstructural Change and Mechanical Property of Neutron Irradiated Ti-Ni Shape Memory Alloy
Microstructural change and mechanical property of Ti-Ni shape memory alloy after neutron irradiation have been studied. The neutron doses were from 1.4×10^ to 1.2×10^n/cm^2, and the irradiation temperature was under 423K. A halo ring was observed after the irradiation of 1.2×10^n/cm^2, which means that amorphous phase was induced by the neutron irradiation. In stress-strain curve, the critical point (σ_M) increased as the dose increased. At the highest dose, the stress-strain curve lost pseudoelasticity. These results indicate that such mechanical properties strongly depend on the amorphous formation
Z3-graded Grassmann Variables, Parafermions and their Coherent States
A relation between the -graded Grassmann variables and parafermions is
established. Coherent states are constructed as a direct consequence of such a
relationship. We also give the analog of the Bargmann-Fock representation in
terms of these Grassmann variables.Comment: 8 page
Wigner quantum oscillators. Osp(3/2) oscillators
The properties of the three-dimensional noncanonical osp(3/2) oscillators,
introduced in J.Phys. A: Math. Gen. {\bf 27} (1994) 977, are further studied.
The angular momentum M of the oscillators can take at most three values
M=p-1,p,p+1, which are either all integers or all half-integers. The
coordinates anticommute with each other. Depending on the state space the
energy spectrum can coincide or can be essentially different from those of the
canonical oscillator. The ground state is in general degenerated.Comment: TeX, Preprint INRNE-TH-94/3, 17
Spin Hall effect of Photons in a Static Gravitational Field
Starting from a Hamiltonian description of the photon within the set of
Bargmann-Wigner equations we derive new semiclassical equations of motion for
the photon propagating in static gravitational field. These equations which are
obtained in the representation diagonalizing the Hamiltonian at the order
, present the first order corrections to the geometrical optics. The
photon Hamiltonian shows a new kind of helicity-magnetotorsion coupling.
However, even for a torsionless space-time, photons do not follow the usual
null geodesic as a consequence of an anomalous velocity term. This term is
responsible for the gravitational birefringence phenomenon: photons with
distinct helicity follow different geodesics in a static gravitational field.Comment: 6 page
On a pair of difference equations for the type orthogonal polynomials and related exactly-solvable quantum systems
We introduce a pair of novel difference equations, whose solutions are
expressed in terms of Racah or Wilson polynomials depending on the nature of
the finite-difference step. A number of special cases and limit relations are
also examined, which allow to introduce similar difference equations for the
orthogonal polynomials of the and types. It is shown that
the introduced equations allow to construct new models of exactly-solvable
quantum dynamical systems, such as spin chains with a nearest-neighbour
interaction and fermionic quantum oscillator models.Comment: 8 pages, to be published in Springer Proceedings in Mathematics &
Statistic
There are no abnormal solutions of the BetheSalpeter equation in the static model
The four-point Green's function of static QED, where a fermion and an
antifermion are located at fixed space positions, is calculated in covariant
gauges. The bound state spectrum does not display any abnormal state
corresponding to excitations of the relative time. The equation that was
established by Mugibayashi in this model and which has abnormal solutions does
not coincide with the BetheSalpeter equation. Gauge transformation from the
Coulomb gauge also confirms the absence of abnormal solutions in the
BetheSalpeter equation.Comment: 11 pages, late
Canonical Partition Functions for Parastatistical Systems of any order
A general formula for the canonical partition function for a system obeying
any statistics based on the permutation group is derived. The formula expresses
the canonical partition function in terms of sums of Schur functions. The only
hitherto known result due to Suranyi [ Phys. Rev. Lett. {\bf 65}, 2329 (1990)]
for parasystems of order two is shown to arise as a special case of our general
formula. Our results also yield all the relevant information about the
structure of the Fock spaces for parasystems.Comment: 9 pages, No figures, Revte
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