Internal Tide Generation Using Green Function Analysis: To WKB or Not to WKB?

WKB analysis of higher order

WKB analysis of higher order Painlevé equations with a large parameter. II. — Structure theorem for instanton-type solutions of (P J) m (J = I, 34, II-2 or IV) near a simple P-turning point of the first kind

Wkb Analysis of Bohmian Dynamics

We consider a semi-classically scaled Schrödinger equation with WKB initial data. We prove that in the classical limit the corresponding Bohmian trajectories converge (locally in measure) to the classical trajectories before the appearance of the first caustic. In a second step we show that after caustic onset this convergence in general no longer holds. In addition, we provide numerical simula...

WKB-type Approximation to Noncommutative Quantum Cosmology

In this work, we develop and apply the WKB approximation to several examples of noncommutative quantum cosmology, obtaining the time evolution of the noncommutative universe, this is done starting from a noncommutative quantum formulation of cosmology where the noncommutativity is introduced by a deformation on the minisuperspace variables. This procedure gives a straightforward algorithm to in...

Accuracy of the WKB

On the exact WKB analysis of microdifferential operators of WKB type ∗ Takashi AOKI