On Robin boundary conditions and the Morse potential in quantum mechanics
نویسندگان
چکیده
منابع مشابه
Straight Quantum Waveguide with Robin Boundary Conditions⋆
Abstract. We investigate spectral properties of a quantum particle confined to an infinite straight planar strip by imposing Robin boundary conditions with variable coupling. Assuming that the coupling function tends to a constant at infinity, we localize the essential spectrum and derive a sufficient condition which guarantees the existence of bound states. Further properties of the associated...
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For p ∈ (1,+∞) and b ∈ (0,+∞] the p-torsion function with Robin boundary conditions associated to an arbitrary open set Ω ⊂ R satisfies formally the equation −∆p = 1 in Ω and |∇u|p−2 ∂u ∂n + b|u| p−2u = 0 on ∂Ω. We obtain bounds of the L∞ norm of u only in terms of the bottom of the spectrum (of the Robin p-Laplacian), b and the dimension of the space in the following two extremal cases: the li...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2010
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8113/43/8/085301