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Reflectionless potential

WebReflectionless symmetric potentials from vertex operators Full Record Related Research Abstract The construction of symmetric reflectionless potentials with an arbitrary bound-state spectrum is compared using supersymmetric quantum mechanics and using vertex operators. The simplicity of each method may have useful consequences for the other. WebSep 30, 2012 · 9 Altmetric Metrics Abstract This study introduces a new signal analysis method, based on a semi-classical approach. The main idea in this method is to interpret a pulse-shaped signal as a potential of a Schrödinger operator and then to use the discrete spectrum of this operator for the analysis of the signal.

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WebDec 1, 1998 · Comparisons with scattering by the square well and by a series of reflectionless potentials are also presented. Possible applications of the Sech-squared as … WebII. REFLECTIONLESS POSITIVE ENERGY EIGENSTATES For positive energies we write E= 2k2/2m, and the Schrödinger equation with potential energy given by Eq. 1 reads d2 dx 2 + … northeast gambling hotels https://mayaraguimaraes.com

Phys. Rev. A 92, 033424 (2015) - Model study on how an ordered …

WebJan 3, 2024 · Resonant scattering of a flat-top soliton by a wide reflectionless potential well with a varying potential well depth (a) V 0 = 4.0, (b) V 0 = 4.000 027 62, and (c) V 0 = 4.000 … WebMar 22, 2024 · In the particular case of the recently introduced class of complex Kramers-Kronig potentials we show that a broad class of time-dependent forces can be applied without inducing any scattering, while there is a breakdown of the reflectionless property when there is a broadband distribution of initial particle momentum, involving both … WebResonant tunneling potential refers to potential barriers with the transmission probability equaling to one for the separate energy levels; reflectionless potential refers to potentials … how to retrieve vm details through powershell

Phys. Rev. E 104, 034203 (2024) - Physical Review E

Category:SUSY-hierarchy of one-dimensional reflectionless potentials

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Reflectionless potential

Phys. Rev. A 92, 033424 (2015) - Model study on how an ordered …

WebWe consider an optical fiber with nanoscale variation of the effective fiber radius supporting whispering gallery modes slowly propagating along the fiber, and reveal that the radius variation can be designed to suppor… http://physicspages.com/pdf/Quantum%20mechanics/Reflectionless%20potential.pdf

Reflectionless potential

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WebApr 30, 2015 · Abstract the class of generalized reflectionless Schrödinger operators was introduced by Lundina in 1985. Marchenko worked out a useful parametrization of these … WebThe problem of the existence of traveling waves in inhomogeneous fluid is very important for enabling an explanation of long-distance wave propagations such as tsunamis and storm waves. The present paper discusses new solutions to the variable-coefficient wave equations describing traveling waves in fluid layers of variable depths (1D shallow-water …

WebMar 30, 2024 · scattering through a reflectionless potential well in an optical system. We consider the set up of two input solitons with different intensities scattered by a … WebJan 31, 2009 · functions that reduce to elementary functions when the strength of the potential is ‘(‘+1). On the other hand, the eigenstates of re ectionless potentials can be …

WebReflectionless potential form a simple and versatile laboratory for studying the properties of bound states and scattering. References Introductory Quantum Mechanics, Liboff. Methods of Mathematical Physics, Morse and Feshbach. Write a Comment User Comments ( 0) Page of About PowerShow.com WebWe consider an optical fiber with nanoscale variation of the effective fiber radius supporting whispering gallery modes slowly propagating along the fiber, and reveal that the radius …

WebAug 17, 2024 · Reflectionless potentials for classical or matter waves represent an important class of scatteringless systems encountered in different areas of physics. Here … northeast ga. medical centerWebDec 1, 2007 · The one-dimensional potential well Vx =− 2 +1 /2ma 2 sech 2 x / a does not reflect waves of any energy when is a positive integer. We show that in this reflectionless … how to retrieve voicemail coxWebEnter the email address you signed up with and we'll email you a reset link. northeast ga medical groupWebAn effective algorithm is constructed for the creation of complex structures based an the analysis of phase shift energy dependence. A temporal evolution of electronic states in quantum structures is investigated. A dynamic analog of reflectionless potential is explicitly constructed. 展开 northeast ga medical center urgent careWebSep 30, 2015 · The effect occurs even when the electron-electron interaction is disregarded in our model and thus impact ionization as well as the trapping due to the charging of the environment cannot be the cause of the suppression. Even when a reflectionless potential is used for the modeling of the atomic potential, the suppression is still profound. how to retrieve viber messages without backupWebFeb 26, 2015 · The reflectionless case is derived directly from the special combinations of discrete reflectionless potentials in section 3.2. It is identified with a special case of the … how to retrieve voicemail on iphone xrWebSep 7, 2024 · We investigate numerically and theoretically the conditions leading to soliton ejection stimulated through the scattering of bright solitons by modulated reflectionless potential wells. Such potential wells allow for the possibility of controlled ejection of solitons with significantly high speeds. At the outset, we describe the scattering setup and … northeast games capitals