Extremal eigenvalue gaps for the Schrödinger operator with Dirichlet boundary conditions

DOI10.1063/1.532290zbMath1042.35601OpenAlexW1979548435MaRDI QIDQ4260564

Samir Karaa

Publication date: 16 December 2002

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532290

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Schrödinger operator, Schrödinger equation (35J10)

Related Items (6)

Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators ⋮ A survey on extremal problems of eigenvalues ⋮ On the polynomial integrability of the critical systems for optimal eigenvalue gaps ⋮ The fundamental gap of a kind of sub-elliptic operator ⋮ Rearrangement inequalities and applications to isoperimetric problems for eigenvalues ⋮ Monotonicity of the principal eigenvalue related to a non-isotropic vibrating string

Cites Work

• Universal lower bounds on eigenvalue splittings for one dimensional Schrödinger operators
• Comparison theorems for the gap of Schrödinger operators
• A sharp bound for the ratio of the first two eigenvalues of Dirichlet Laplacians and extensions

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