Discrete Spectrum of a Periodic Schrödinger Operator Perturbed by a Rapidly Decaying Potential

Author:

Safronov OlegORCID

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics

Reference25 articles.

1. Alama, S., Avellaneda, M., Deift, P., Hempel, R.: On the existence of eigenvalues of a divergence-form operator $$A+{\lambda }B$$ in a gap of $$\sigma (A)$$. Asympt. Anal. 8(4), 311–344 (1994)

2. Alama, S., Deift, P., Hempel, R.: Eigenvalue branches of the Schrödinger operator $$H-{\lambda }W$$ in a gap of $$\sigma (H)$$. Commun. Math. Phys. 121(2), 291–321 (1989)

3. Birman, M.: Discrete spectrum in gaps of a continuous one for perturbations with large coupling constants. Adv. Sov. Math. 7, 57–73 (1991)

4. Birman, M., Laptev, A.: Discrete spectrum of the perturbed Dirac operator. Ark. Matematik 32(1), 13–32 (1994)

5. Birman, M., Sloushch, V.: Discrete spectrum of the periodic Schrödinger operator with a variable metric perturbed by a nonnegative potential. Math. Model. Nat. Phenom. 5(4), 32–53 (2010)

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