Pekeris approximation

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August undefined, 2024

WebDec 1, 2013 · Generalizing the Pekeris approximation, we solve the Schrödinger equation with Rosen-Morse and Manning-Rosen potentials including the centrifugal term. The … 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 …

Cu¨neyt Berkdemir arXiv:quant-ph/0502182v3 20 Apr 2005

WebJul 1, 2024 · This uses a new, improved approximation for centrifugal term, from a combination of Greene-Aldrich and Pekeris approximations. Solutions are obtained in terms of hypergeometric functions. It... 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 … gregg\u0027s heating and air

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WebMar 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 WebJul 3, 2012 · This 2D Pekeris waveguide example is to demonstrate that the higher-order split-step Fourier PE can handle a sharp interface, and it is found that the density smoothing width d can go down to 1.25 m, which is 1/15th of the acoustic wavelength in the water, without suffering from large approximation errors. 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) gregg\u0027s ranch dressing ingredients

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

The Klein–Gordon equation with a generalized Morse potential in

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 … 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... greggs wenlock road shrewsburyWebGeneralizing the Pekeris approximation, we solve the Schrödinger equation with Rosen–Morse and Manning–Rosen potentials including the centrifugal term. The bound … gregg thompson linkedin

"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 ... " - Pekeris approximation

Pekeris approximation

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 … 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 …

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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. … WebThe spin symmetric solution of the relativistic wave equation is obtained by considering the Pekeris-type approximation scheme to deal with the centrifugal term, and in order to solve...

WebJan 1, 2013 · Using the Pekeris approximation, approximate analytical solutions of the D-dimensional Schrödinger equation in the presence of Modified Woods–Saxon potential are obtained.The behavior of energy eigenvalues vs. dimension is discussed for various quantum numbers.Using the Feynman-Hellmann theorem, expectation values of some … WebJan 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.

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. 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 …

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 …

WebOct 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 … gregg\u0027s blue mistflowerWebFeb 8, 2014 · This paper shows that the results can be justified by comparing the calculated energy spectrum with those obtained via the two-point quasi-rational approximation … greggs uk share price today liveWeb【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 … gregg\u0027s cycles seattleWebFeb 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. gregg\u0027s restaurants and pub warwick riWebMar 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. greggs victoriaWebJul 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. gregg\\u0027s restaurant north kingstown riWebAug 1, 2004 · This approximation is based on the expansion of the centrifugal barrier in a series of exponentials depending on the internuclear distance, keeping terms up to second order, so that the... gregg township pa federal prison