Isospectral molecules
β Scribed by William C. Herndon
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- French
- Weight
- 174 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0040-4039
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π SIMILAR VOLUMES
The concept of isospectral polyene molecules is briefly reviewed and commented on. Several pairs of almost-isospectral molecules and two infinite pairs of almost-isospectral series of molecules are identified for the first time. This work represents a contribution toward the study of the relationshi
## Ε½ It is shown that if a pair of alternant molecules are isospectral they have identical energy . spectra in the topological-Huckel-approximation they are also isospectral, taking into Γ€ccount the electron correlation. The proof is given in the AMO approximation using a Hubbard Hamiltonian.
We discuss a discrete version of Sunada's Theorem on isospectral manifolds, which allows the generation of isospectral simple graphs, i.e., nonisomorphic simple graphs that have the same Laplace spectrum. We also consider additional boundary conditions and Buser's transplantation technique applied t
In this paper, we address the following question: Given a natural number g, how many Riemann surfaces S 1 , ..., S k of genus g can there be such that S 1 , ..., S k all share the same spectrum of the Laplacian? It was shown by Buser in [Bu] that there is an upper bound N(g) to the size of such iso