Reflectionless potential
Web1. dec 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 … Web1. dec 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 …
Reflectionless potential
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Web3. jan 2024 · We identify a class of potentials for which the scattering of flat-top solitons and thin-top solitons of the nonlinear Schrödinger equation with dual nonlinearity can be … Web7. sep 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 …
WebAnalytic reflectionless potentials 2() are constructed for the one-dimensional equation 2d2q/d2+2()q=0. Unlike generic potentials which reflect waves with amplitudes of order … WebResonant tunneling potential refers to potential barriers with the transmission probability equaling to one for the separate energy levels; reflectionless potential refers to potentials …
WebPost date: 14 June 2024. An interesting potential is V(x)= ¯h2a m sech2(ax) (1) where ais a constant and sech(ax)is the hyperbolic secant, which is defined as sech(ax) 1=cosh(ax). … Web14. sep 2005 · For a special class of such systems, it is possible to impose the -symmetric boundary conditions on the real axis, which lies on the edges of the wedges. The …
Web3. jan 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 = 4.000 029. (d) The solution and potential profiles. The number of nodes in the formed trapped mode is 10 nodes. The arrow shows the direction of motion for the incident soliton.
Web25. jan 2024 · The scattering of bright solitons described by the nonlinear Schrödinger equations with a reflectionless potential has been extensively studied [18, 34,35]. In addition, the unidirectional flow ... road guard paintWeb26. feb 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 … snap kauai food stamps check balanceWebII. 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 + … roadguard namibiaWeb27. júl 2004 · A class of one-dimensional reflectionless potentials, an absolute transparency of which is concerned with their belonging to one SUSY-hierarchy with a constant potential, is studied. An approach for determination of a general form of the reflectionless potential on the basis of construction of such a hierarchy by the recurrent … snap kiss eyeglass caseWebOne can name such quantum systems (and their potentials) as reflectionless [ 1]. A resonant tunneling phenomenon and, especially, papers, directed to study of its demonstration in concrete physical problems (for example, see [ 2] ), have been caused an increased interest. road guard plus 8Web9. aug 2024 · It is especially instructive to consider the value of A/D that results from solving this set of four equations in four unknowns because the modulus of this ratio provides information about the relative amount of amplitude that exists inside the centrifugal barrier in the attractive region of the potential compared to that existing in the … snap kauai officeWeb30. mar 2024 · This potential, which is known as the Pöschl-Teller potential, belongs to the class of reflectionless potentials which may transmit without reflection in the linear regime. We use the parameters of potential as: V 0 = 4 , α = V 0 , and x 0 = 0. snap kern county