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arxiv: math/0412431 · v2 · pith:JU5J3RXXnew · submitted 2004-12-21 · 🧮 math.FA · math-ph· math.MP

Resolvents of self-adjoint extensions with mixed boundary conditions

classification 🧮 math.FA math-phmath.MP
keywords boundaryconditionsextensionsresolventsself-adjointapplicationsassociateddiscussed
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We prove a variant of Krein's resolvent formula expressing the resolvents of self-adjoint extensions through the associated boundary conditions. Applications to solvable quantum-mechanical problems are discussed.

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