✦ LIBER ✦

The local potential determining the square root of the ground-state electron density of atoms and molecules from the Schrödinger equation

✍ Scribed by N.H. March

Publisher: Elsevier Science
Year: 1986
Tongue: English
Weight: 214 KB
Volume: 113
Category: Article
ISSN: 0375-9601
DOI: 10.1016/0375-9601(86)90123-4

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Force-balance and differential equation

Force-balance and differential equation for the ground-state electron density in atoms and molecules

✍ C. Amovilli; N. H. March; T. Gál; Á. Nagy 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 165 KB 👁 2 views

## Holas and March (1995) established a force-balance equation from the many-electron Schrödinger equation. Here, we propose this as a basis for the construction of a (usually approximate) differential equation for the ground-state electron density. By way of example we present the simple case of

Exact solutions of the Schrödinger equat

Exact solutions of the Schrödinger equation for 1,3S states of the atom with Fues–Kratzer-type potential

✍ Zeynel Yalçın; Meti̇n Aktaş; Mehmet Şi̇mşek 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 233 KB 👁 1 views

In this article exact solutions of a two-electron Schrödinger equation for the Coulomb potential were extended to the Fues-Kratzer-type potential: ( Ẑ( )/r) + ( Â/r 2 ). The wave function (r, ) is expanded into generalized Laguerre polynomials and hyperspherical harmonics. An analytical expression o

Uniqueness and nondegeneracy of the grou

Uniqueness and nondegeneracy of the ground state for a quasilinear Schrödinger equation with a small parameter

✍ Alessandro Selvitella 📂 Article 📅 2011 🏛 Elsevier Science 🌐 English ⚖ 223 KB

We study least energy solutions of a quasilinear Schrödinger equation with a small parameter. We prove that the ground state is nondegenerate and unique up to translations and phase shifts using bifurcation theory.

The Ground State Wave Function of a Schr

The Ground State Wave Function of a Schrödinger-Like Equation in a Time Periodic Potential in Higher Dimensionalities of Space

✍ Y. T. Millev; M. Fähnle 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 150 KB 👁 1 views

Bound state solutions of the Schrödinger

Bound state solutions of the Schrödinger equation for reducible potentials: general Laurent series and four-parameter exponential-type potentials

✍ Mehmet Şimşek; Süleyman Özçelik 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 361 KB

Stable and efficient numerical method fo

Stable and efficient numerical method for solving the Schrödinger equation to determine the response of tunneling electrons to a laser pulse

✍ Mark J. Hagmann 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 390 KB 👁 1 views

The form ⌿ x, t s F x q F x, t e q F x, t e e is 0 1 y1 used for the wave function in the transient solutions. This expression is similar to the three dominant terms in the steady-state solution from the Floquet theory, except that now F and F depend on t as well as x. The function F is the static