The eigenvalue problem for a system of N coupled one-dimensional Schrodinger equations, arising in bound state in quantum mechanics, is considered. A canonical approach for the calculation of the energy eigenvalues of this system is presented. This method replaces the use of the wave functions by 2
Variational study of the bound states in the functional Schrödinger picture
✍ Scribed by Sung Ku Kim; Wuk Namgung; Kwang Sup Soh; Jae Hyung Yee
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 422 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0003-4916
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✦ Synopsis
The bound state of the Gross-Neveu model is studied by using the variational method in the functional SchCdinger picture. It is shown that this method can determine the existence of bound states consistently.
📜 SIMILAR VOLUMES
We study the unique bound state which (-d2/dx2) + hV and -A + XV (in two dimensions) have when A is small and V is suitable. Our main results give necessary and sufficient conditions for there to be a bound state when h is small and we prove analyticity (resp. nonanalyticity) of the energy eigenvalu
## Abstract Local exact controllability of the one‐dimensional NLS (subject to zero‐boundary conditions) with distributed control is shown to hold in a __H__^1^‐neighbourhood of the nonlinear ground state. The __Hilbert Uniqueness Method__ (__HUM__), due to Lions, is applied to the linear control p