On the shape of spectra for non-self-adjoint periodic Schrödinger operators

Journal of Physics A: Mathematical and General

Volumn 37, Issue 34, 2004, Pages 8287-8291

  Shin, Kwang C ^a  

^a UNIVERSITY OF MISSOURI   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 4444321109     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/37/34/007     Document Type: Article

References (9)

1. Ahmed Z 2001 Energy band structure due to a complex, periodic, PT-invariant potential Phys. Lett. A 286 231-5
2. Bender C M, Dunne G V and Meisinger P N 1999 Complex periodic potentials with real band spectra Phys. Lett. A 252 272-6
3. Cerveró J M 2003 PT-symmetry in one-dimensional quantum periodic potentials Phys. Lett. A 317 26-31
4. Cerveró J M and Rodriguez A 2003 The band spectrum of periodic potentials with PT-symmetry J. Phys. A: Math. Gen. in press (Preprint quant-ph/0312163)
5. Jones H F 1999 The energy spectrum of complex periodic potentials of Kronig-Penney type Phys. Lett. A 262 242-4
6. Eastham M S P 1973 The Spectral Theory of Periodic Differential Equations (London: Scottish Academic Press)
7. Titchmarsh E C 1958 Eigenfunction Expansions associated with Second-Order Differential Equations, Part II (New York: Oxford University Press)
8. Rofe-Beketov F S 1963 The spectrum of non-selfadjoint differential operators with periodic coefficients Sov. Math. Dokl. 4 1563-6
9. Batchenko V and Gesztesy F 2003 The spectrum of Schrödinger operators with quasi-periodic algebro-geometric KdV potentials Preprint math.SP/0312200