A novel WKB approach to calculating the lifetime of quasistationary states in the potential wells of the form V(x)=P(x)-muQ(x), where P(x) is the radial part of the potential for the spherically symmetric harmonic oscillator or the hydrogen atom and Q(x) is a polynomial, is suggested. In this approach, the usual explicit procedure of the asymptotic matching of the perturbative and WKB wave func...

In this paper we present a WKB approximation for sphericallysymmetric solutions of the Schrödinger-Newton equations. These are nonlinear modifications of the ordinary Schrödinger equation involving gravitational selfinteraction of the wavefunction. Applying the WKB procedure leads to two different nonlinear differential equations for the gravitational potential U for positive and negative value...

We study the spectrum of the reggeized gluon compound states in high-energy QCD. The energy of the states depends on the total set of quantum numbers whose values are constrained by the quantization conditions. To establish their explicit form we apply the methods of nonlinear WKB analysis to the Schrödinger equation for the N reggeon state in the separated coordinates. We solve the quantizatio...

Restricted detour distance between two vertices and of a graph is the length longest u- v path for induced condition (V (P))=P. The restricted polynomial depends on denoted by D*(G,x) defined = ∑{u,v}xD*(u,v) where summation taken over all unordered pairs (u,v) distinct u V(G). In this paper, we investigate straight chain wheel graphs φ(WkB) compute index φ(WkB).

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

We present a simple derivation of the WKB quantisation condition using the quantum Hamilton-Jacobi formalism and propose an exact quantisation condition within this formalism for integrable models in higher dimensions.