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Pekeris approximation

WebOct 7, 2024 · Here, the Pekeris approximation scheme given in the literature [ 33] is used as a most convenient and powerful approximations among all for this potential case. This approximation is based on the expansion of the centrifugal barrier in terms of exponential series form relying on the inter-molecular distance, keeping terms up to second order. WebSep 29, 2024 · Based on the target scattering model and the normal mode theory in a shallow water waveguide, a mathematical model of the acoustic intensity under the coupling condition of the target and the environment was deduced, and the interference striations in the monostatic and bistatic configuration were obtained by simulations. Further, a field …

Pekeris approximation – another perspective

WebDec 6, 2013 · Generalizing the Pekeris approximation, we solve the Schrödinger equation with Rosen–Morse and Manning–Rosen potentials including the centrifugal term. The … WebFeb 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. glitch goliath https://iaclean.com

Analytical solution of D dimensional Schrödinger equation for …

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 … WebUsing the Pekeris approximation [37] in the three-dimensional case for the Morse potential non-minimal coupling, we obtain the eigenvalues and the eigenfunctions, and then we … WebSelect search scope, currently: articles+ all catalog, articles, website, & more in one search; catalog books, media & more in the Stanford Libraries' collections; articles+ journal articles & other e-resources body wash safe for kids

Rigorous numerics for the Pekeris problem: JASA Express Letters: …

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Pekeris approximation

Pekeris approximation - Another perspective Request …

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. WebWe used a Pekeris approximation to deal with the orbital centrifugal barrier energy. The variations of the energy levels with the potential parameters are investigated. The results revealed that the SWKB energy modeled for a hypothetical system is exact and nearly indistinguishable from the usual WKB energy. Both the WKB and SWKB approach give ...

Pekeris approximation

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WebIn this work, the analytical solutions of the D-dimensional radial Schrödinger equation are studied in great detail for the Wood–Saxon potential by taking advantage of the Pekeris approximation.Within a novel improved scheme to surmount centrifugal term, the energy eigenvalues and corresponding radial wave functions are found for any angular … WebMar 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.

WebAug 23, 2024 · In this work we attempt to apply this quantum method (SUSY-QM) to study the energy dependent rotating Morse potential within the Pekeris approximation and then compare all the obtained eigenvalues with the exact numerical results. The potential behavior is also studied and compared with the RKR data in the case of two diatomic … WebPeter Kekeris (born 7 May 1999), is an Australian professional footballer who plays as a winger for Rockdale Ilinden in the National Premier Leagues NSW.. International career. …

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 …

WebJun 30, 2005 · The bound state energy eigenvalues and the corresponding eigenfunctions are obtained by applying the Pekeris approximation to the centrifugal barrier term of the potential. All of these calculations present an effective and methodological procedure under the Pekeris approximation and Nikiforov–Uvarov method to solve the rotating Morse …

Weban approximation has to be made. Using improved Pekeris approximation [15,11] that is presented in the previous section the Eq. (15) is as following: 2 l 2 22l)21 0 r ªº¬¼c (16) Where the parameters χʹ 2, χʹ 1 and χʹ 0 are considered as follows: > @ 2 2 1 2 0 2 2 E 2 ab 2 b1 P c P Dc P c (17) body wash scentedWebOct 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... glitch gpoWeb【摘 要】基于薛定谔方程离心项的Pekeris型近似,研究了具有变形Woods-Saxon势的薛定谔方程的散射态问题,得到了归一化的散射态波函数和相应的散射相移,同时得到了散射振幅解析极点相应的束缚态能级.%Within a Pekeris-type approximation to the … glitch goods rob sheridan