arXiv
Open Access
2012
Spectral Problems of a Class of Non-self-adjoint One-dimensional Schrodinger Operators
O. A. Veliev
Abstrak
In this paper we investigate the one-dimensional Schrodinger operator L(q) with complex-valued periodic potential q when q\inL_{1}[0,1] and q_{n}=0 for n=0,-1,-2,..., where q_{n} are the Fourier coefficients of q with respect to the system {e^{i2πnx}}. We prove that the Bloch eigenvalues are (2πn+t)^{2} for n\inZ, t\inC and find explicit formulas for the Bloch functions. Then we consider the inverse problem for this operator.
Topik & Kata Kunci
Penulis (1)
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O. A. Veliev
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2012
- Bahasa
- en
- Sumber Database
- arXiv
- Akses
- Open Access ✓