𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A novel algebraic solution to Schrödinger equations

✍ Scribed by B.L. Burrow; M. Cohen

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
358 KB
Volume
199
Category
Article
ISSN
0009-2614

No coin nor oath required. For personal study only.

✦ Synopsis

We obtain approximations to some bound-state solutions of Sohrikiinger equations with a variety of central potentials k'(r) without any direct csiculation of the matrix elements of V(r). The method involves solutions of two algebraic eigenvalue prob lems, one for a real tridiagonal matrix, and one for a more general real symmetric matrix. The eigenvalues, calculated from matrices of dimension less than 64, generally converge rapidly towards their correct limiting values.

📜 SIMILAR VOLUMES

Analytic Solutions to Nonelliptic Nonlin
Analytic Solutions to Nonelliptic Nonlinear Schrödinger Equations
✍ A. Debouard 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 495 KB

We prove local existence of analytic solutions for nonlinear Schrödinger-type equations. The class we consider includes a number of equations derived from the physical context of water waves. 1993 Academic Press, Inc.

Erratum: Stabilization of solutions to n
Erratum: Stabilization of solutions to nonlinear Schrödinger equations
✍ Scipio Cuccagna 📂 Article 📅 2004 🏛 John Wiley and Sons 🌐 English ⚖ 25 KB 👁 1 views

The proof of lemma 5.2 in [1] contains several mistakes. Nevertheless, the statement is correct and is proven in an elementary fashion, correctly this time, in [3, lemma 2.4], which is in this issue of the journal. In the proof of corollary 3.2 in [1], we misquoted from Kato's textbook on perturbat

On standing wave solutions to the Schröd
On standing wave solutions to the Schrödinger equation
✍ D.J Kouri; F.S Levin 📂 Article 📅 1974 🏛 Elsevier Science 🌐 English ⚖ 437 KB

The standing wave solution to the Schriidinger equation defined in terms of the standing wave Green's function for the full Hamiltonian is discussed. This solution is compared with the more usual standing wave solution. The former is shown to be onehalf the sum of the usual ingoing and outgoing wave

Regularity in Time of Solutions to Nonli
Regularity in Time of Solutions to Nonlinear Schrödinger Equations
✍ N. Hayashi; K. Kato 📂 Article 📅 1995 🏛 Elsevier Science 🌐 English ⚖ 655 KB

In this paper we consider the regularity of solutions to nomlinear Schrödinger equations (NLS), \[ \begin{aligned} i \hat{C}, u+\frac{1}{3} \| u & =F(u, u) . & & (t, x) \in \mathbb{R} \times \mathbb{B}^{\prime \prime}, \\ u(0) & =\phi . & & x \in \mathbb{R}^{u} . \end{aligned} \] where \(F\) is a po