𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the exact solution of the Schrödinger equation with a quartic anharmonicity

✍ Scribed by H. Taşeli

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
626 KB
Volume
57
Category
Article
ISSN
0020-7608

No coin nor oath required. For personal study only.

✦ Synopsis

A new version of solutions in the form of an exponentially weighted power series is constructed for the two-dimensional circularly symmetric quartic oscillators, which reflects successfully the desired properties of the exact wave function. The regular series part is shown to be the solution of a transformed equation. The transformed equation is applicable to the one-dimensional problem as well. Moreover, the exact closed-form eigenfunctions of the harmonic oscillator can be reproduced as a special case of the present wave function.

📜 SIMILAR VOLUMES

The recursive solution of the Schrödinge
The recursive solution of the Schrödinger equation
✍ Roger Haydock 📂 Article 📅 1980 🏛 Elsevier Science 🌐 English ⚖ 644 KB

A new approach to the computational solution of the Schfbdinger equation is based on the partial transformation of the Hamiltonian to a tridiagonal matrix. The method is especially suited to tight-binding Hamiltonians encountered in solid state physics and permits of the order of iodegrees of freedo

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