منابع مشابه
Overcritical PT -symmetric square well potential in the Dirac equation
We study scattering properties of a PT -symmetric square well potential with real depth larger than the threshold of particle-antiparticle pair production as the time component of a vector potential in the Dirac equation. Spontaneous pair production inside the well becomes tiny beyond the strength at which discrete bound states with real energies disappear, consistently with a spontaneous break...
متن کاملPT −symmetric square well
Below a (comparatively large) measure of non-Hermiticity Z = Z (crit) 0 > 0 of a PT symmetrically complexified square well, bound states are constructed non-numerically. All their energies prove real and continuous in the (Hermitian) limit Z → 0. Beyond the threshold Z (crit) 0 (and, in general, beyond Z (crit) m at m = 0, 1, . . .) the lowest two real energies (i.e., E2m and E2m+1) are shown t...
متن کاملStructure and thermodynamics of square-well and square-shoulder fluids
We have reinvestigated the structural and thermodynamic properties of the squarewell and the square-shoulder system using two different theoretical frameworks, i.e., the optimized random-phase approximation and the Rogers–Young integral equation. We discuss the limits of applicability of the respective concepts and compare the results with ‘exact’ Monte Carlo simulation results and with data ob...
متن کاملThermal Conductivity of Square-Well Fluids
The thermal conductivity of a system consisting of square-well particles has been determined by the extension of the Enskog formula of the hard-sphere model to square-well fluid. The approach is the same as applied for the diffusion coefficients and shear viscosity of square-well fluid. The addition of an attractive part in the hard-sphere potential such as square-well potential remains insensi...
متن کاملDiscrete PT −symmetric square-well oscillators
Exact solvability of the discretized N−point version of the PT −symmetric squarewell model at all N is pointed out. Its wave functions are found proportional to the classical Tshebyshev polynomials Uk cos θ) of a complex argument. A compact secular equation is derived giving the real spectrum of energies at all the non-Hermiticity strengths Z ∈ (−Zcrit(N), Zcrit(N)). In the limit Z → 0 the mode...
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ژورنال
عنوان ژورنال: The European Physical Journal A
سال: 2017
ISSN: 1434-6001,1434-601X
DOI: 10.1140/epja/i2017-12342-2