Converging bounds for the eigenvalues of multiminima potentials in two-dimensional space
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.29, sa.21, ss.6967-6982, 1996 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 29 Sayı: 21
- Basım Tarihi: 1996
- Doi Numarası: 10.1088/0305-4470/29/21/027
- Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.6967-6982
- Orta Doğu Teknik Üniversitesi Adresli: Evet
Özet
The eigenvalue problem in L(2)(R(2)) of Schrodinger operators with a polynomial perturbation has been replaced by one corresponding to the system confined in a box Omega with impenetrable walls. It is shown that the Dirichlet and the von Neumann problems in L(2)(Omega) generate upper and lower bounds, respectively, to the eigenvalues of the unbounded system. To illustrate the method, rapidly converging two-sided bounds for the energy levels of two- and three-well oscillators are presented, using simple trigonometric basis functions.