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Numerical solution of eigenvalues for the Schrödinger equation

✍ Scribed by J.W. Neuberger; D.W. Noid

Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
267 KB
Volume
104
Category
Article
ISSN
0009-2614

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✦ Synopsis

A method is proposed and tested for the quantum mechanical calculation of eigenvalues for a hamiltonian consisting of three coupled oscillators. The agreement of eisenvalues with a large variational calcularion is excellenr.

📜 SIMILAR VOLUMES

Numerical calculation of eigenvalues for
Numerical calculation of eigenvalues for the Schrödinger equation. III
✍ J. W. Neuberger; D. W. Noid 📂 Article 📅 1987 🏛 John Wiley and Sons 🌐 English ⚖ 276 KB

A recently developed method for calculation of eigenvalues is applied to a four coupled oscillator system previously used to test more approximate methods. Analysis is presented to show how the present method scales for systems of two, three, and four coupled oscillator systems.

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✍ J.W. Neuberger; D.W. Noid 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 237 KB

A recently developed method for the quantum mechanical calculation of eigenvalues is applied to a Hamiltonian consisting of three coupled oscillators which are resonantly coupled. The ageement of the present calculation with a large variational calculation is escelknt.

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✍ Houde Han; Dongsheng Yin; Zhongyi Huang 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 391 KB

## Abstract We consider the numerical solution of the time‐dependent Schrödinger equation in ℝ^3^. An artificial boundary is introduced to obtain a bounded computational domain. On the given artificial boundary the exact boundary condition and a series of approximating boundary conditions are const