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Subjects
81-XX Quantum theory
81Qxx General mathematical topics and methods in quantum theory
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis

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Universal forms for one-dimensional quantum Hamiltonians: a comparison of the SUSY and the de la Peña factorization approaches.

Canderle, L., Plastino, A., Casas, M., Plastino, A.R. (2009)

International Journal of Mathematics and Mathematical Sciences

Universal monotonicity of eigenvalue moments and sharp Lieb–Thirring inequalities

Joachim Stubbe (2010)

Journal of the European Mathematical Society

We show that phase space bounds on the eigenvalues of Schr¨odinger operators can be derived from universal bounds recently obtained by E. M. Harrell and the author via a monotonicity property with respect to coupling constants. In particular, we provide a new proof of sharp Lieb– Thirring inequalities.

Currently displaying 1 – 2 of 2

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