Schrödinger eigenvalue problem for the Gaussian potential

Ladislav Trlifaj

Displaying similar documents to “Schrödinger eigenvalue problem for the Gaussian potential”

On the spectrum and eigenfunctions of the Schrödinger operator with Aharonov–Bohm magnetic field.

Hansson, Anders M. (2005)

International Journal of Mathematics and Mathematical Sciences

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New method for computation of discrete spectrum of radical Schrödinger operator

Ivan Úlehla, Miloslav Havlíček (1980)

Aplikace matematiky

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A new method for computation of eigenvalues of the radial Schrödinger operator $- d^{2} / d x^{2} + v (x), x \geq 0$ is presented. The potential $v (x)$ is assumed to behave as $x^{- 2 + ϵ}$ if $x \to 0_{+}$ and as $x^{- 2 - ϵ}$ if $x \to + \infty, ϵ \geq 0$ . The Schrödinger equation is transformed to a non-linear differential equation of the first order for a function $z (x, ℵ)$ . It is shown that the eigenvalues are the discontinuity points of the function $z (\infty, ℵ)$ . Moreover, it is shown how to obtain an arbitrarily accurate approximation of eigenvalues. The method seems to be much more economical in...

Approximation of eigenvalues and a Koehler's type method

Cesare Davini (1982)

Rendiconti del Seminario Matematico della Università di Padova

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Singular asymptotic expansions for Dirichlet eigenvalues and eigenfunctions of the laplacian on thin planar domains

Denis Borisov, Pedro Freitas (2009)

Annales de l'I.H.P. Analyse non linéaire

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Some remarks on double-wells in one and three dimensions

M. Klaus (1981)

Annales de l'I.H.P. Physique théorique

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