We consider coordinate systems adapted to accelerated observers, construct a generalised Rindler metric and then adopt a specific form of it to compute the semiclassical Unruh temperature, using a WKB approximation within a Hamilton Jacobi analysis in the tunneling picture. Corrections to this temperature are next computed by going beyond the usual WKB approximation. A connection of the correct...

In this note, recent developements of the Complex WKB method allowing to compute the S-matrix naturally associated with a singularly perturbed three-dimensional system of linear diierential equations without turning point on the real axis are reviewed. It is shown that for a fairly large class of examples, the Complex WKB method gives results far better than what is proven under generic circums...

This paper considers a linear one dimensional inverse heat conduction problem with non constant thermal diffusivity and two unknown terms in a heated bar with unit length. By using the WKB method, the heat flux at the end of boundary and initial temperature will be approximated, numerically. By choosing a suitable parameter in WKB method the ill-posedness of solution will be improved. Finally, ...

The kinetics of nonequilibrium Bose-Einstein condensates are considered within the framework of the Gross-Pitaevskii equation. A systematic derivation is given for weak small-scale perturbations of a steady confined condensate state. This approach combines a wavepacket WKB description with the weak turbulence theory. The WKB theory derived in this paper describes the effect of the condensate on...

We prove the WKB asymptotic behavior of solutions of the differential equation −d2u/dx2 + V (x)u = Eu for a.e. E > A where V = V1 + V2, V1 ∈ L(R), and V2 is bounded from above with A = lim supx→∞ V (x), while V ′ 2(x) ∈ L(R), 1 ≤ p < 2. These results imply that Schrödinger operators with such potentials have absolutely continuous spectrum on (A,∞). We also establish WKB asymptotic behavior of s...

The paper discusses the applicability of WKB and Born (small perturbations) approximations in the problem of the backscattering of quantum particles and classical waves by one-dimensional smooth potentials with small amplitudes compared to the energy of the incident particle (above-barrier scattering). Both deterministic and random potentials are considered. The dependence of the reflection coe...

Squeezed number states for a single mode Hamiltonian are investigated from two complementary points of view. Firstly the more relevant features of their photon distribution are discussed using the WKB wave functions. In particular the oscillations of the distribution and the parity behavior are derived and compared with the exact results. The accuracy is verified and it is shown that for high p...