Pekeris approximation
WebIn our calculations, we have applied the Nikiforov–Uvarov method by using the Pekeris approximation to the centrifugal potential for any l-states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers n and l. The nonrelativistic limit of the bound state energy ... WebNov 22, 2013 · Pekeris-type approximation for the -wave in a Pöschl-Teller potential Stoian I. Zlatev An approximation for the centrifugal term which transforms the radial equation for …
Pekeris approximation
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WebJul 2, 2024 · In this paper, we demonstrated that the multiple turning point problems within the framework of the Wentzel-Kramers-Brillouin (WKB) approximation method can be reduced to two turning point one for a nonsymmetric potential function by using an appropriate Pekeris-type approximation scheme. Web3.1 Overview of the Pekeris Approximation The approximation is based on the expansion of the centrifugal barrier in a series of exponentials depending on the internuclear distance, until the second order. However, by construction, this approximation is valid only for lower vibrational energy states. Therefore, for a Pekeris approx-
WebSep 29, 2003 · TL;DR: In this paper, an analytical solution of the radial Schr¨ odinger equation for the rotating Morse potential using the Pekeris approximation within the framework of the asymptotic iteration method is presented. WebOct 1, 2024 · We generalize the Pekeris approximation for the centrifugal term potential, l (l+1)r2, and use this to obtain the solutions of the radial Schrödinger equation for the arbitrary angular quantum...
WebFeb 1, 2013 · Using the Pekeris approximation, the Schrödinger equation is solved for the nuclear deformed Woods—Saxon potential within the framework of the asymptotic … WebAug 11, 2004 · The method we are proposing for solving the Schrödinger equation for the rotating Morse potential represents an approximate transformation that allows one to …
Webimation. For this case, we now outline the procedure of Pekeris [3, 6]. 3.1 Overview of the Pekeris Approximation The approximation is based on the expansion of the centrifugal barrier in a series ...
WebDec 17, 2011 · The approximate analytical bound-state solutions of the Schrödinger equation for the Wei Hua oscillator are carried out in N-dimensional space by taking … geolocation restrictionWebJan 6, 2024 · Fig. 1. The truncated Pekeris waveguide with attenuation of d b dB per wavelength. The sound speeds c w and c b and densities ρ w and ρ b are constant in the water and bottom layers. The surface z = 0 and truncation depth z = H are free boundaries. The variables r and z are cylindrical coordinates. geolocation route 53WebOct 20, 2024 · We generalize the Pekeris approximation for the centrifugal term potential, l (l + 1) r 2, and use this to obtain the solutions of the radial Schrödinger equation for the … geolocation routingWebFeb 22, 2024 · Numerical solutions, with and without the Pekeris approximation, have been used to calculate the energy spectrum [4–7]. The Pekeris approximation [4] is based on the expansion of the centrifugal part in exponential terms with exponents that depend on an inter-nuclear distance parameter. geolocation routing policy route 53WebMar 17, 2024 · The present work is aimed at obtaining energy levels of the improved Tietz oscillator in external magnetic and Aharonov-Bohm fields within the frame work of Pekeris approximation scheme. The rest of the paper is organized as follows. In Sect. 2, the equation for bound state energy levels of the ITO is developed. geolocation risksWebThe Pekeris approximation is used to deal with the centrifugal term in the effective Woods-Saxon potential. The inter-dimensional degeneracies for various orbital quantum number l … chris smith red hatWebMar 7, 2024 · The Pekeris-like approximation to the centrifugal term is given as The graph of Pekeris approximation to centrifugal term is given in Figure 1. Figure 1 The graph of Pekeris approximation for various values of . 2. Parametric Nikiforov-Uvarov (NU) Method chris smith realty spring lake