Number of Bound States of Schrödinger Operators with Matrix-Valued Potentials

Author:

Frank Rupert L.,Lieb Elliott H.,Seiringer Robert

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference21 articles.

1. Aizenman, M., Lieb, E.H.: On semi-classical bounds for eigenvalues of Schrödinger operators. Phys. Lett. 66, 427–429 (1978)

2. Conlon, J.G.: A new proof of the Cwikel–Lieb–Rosenbljum bound. Rocky Mt. J. Math. 15(1), 117–122 (1985)

3. Cwikel, M.: Weak type estimates for singular values and the number of bound states of Schrödinger operators. Ann. Math. 106, 93–102 (1977)

4. Dolbeault, J., Laptev, A., Loss, M.: Lieb–Thirring inequalities with improved constants. J. Eur. Math. Soc. (to appear) Preprint: arXiv:0708.1165v2 [math.AP]

5. Frank, R.L., Lieb, E.H., Seiringer, R.: Hardy–Lieb–Thirring inequalities for fractional Schrödinger operators. J. Am. Math. Soc. (to appear) Preprint: arXiv:math/0610593v2 [math.SP]

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