In this paper, the finite square well and its application are investigated, namely quantum state discrimination. The is treated in all standard textbooks on introductory mechanics. It used as a simple 'model of departure' many areas physics. atomic molecular physics, it may be model an electron moving mean field linear molecule also arises partial wave radial equation for spherically symmetric,...

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...

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...

Linear minimum mean square error (LMMSE) estimation is often ill-conditioned, suggesting that unconstrained minimization of the an inadequate approach to filter design. To address this, we first develop a unifying framework for studying constrained LMMSE problems. Using this framework, explore important structural property filters involving certain prefilter. Optimality invariant under invertib...