On the theory of self-adjoint extensions of symmetric operators and its applications to quantum physics

Author:

Ibort A.1,Pérez-Pardo J. M.2

Affiliation:

1. ICMAT and Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida. de la Universidad 30, 28911 Leganés, Madrid, Spain

2. INFN — Sezione di Napoli, Complesso Universitario di Monte Sant'Angelo, Via Cintia, Edificio 6, 80126 Naples, Italy

Abstract

This is a series of five lectures around the common subject of the construction of self-adjoint extensions of symmetric operators and its applications to Quantum Physics. We will try to offer a brief account of some recent ideas in the theory of self-adjoint extensions of symmetric operators on Hilbert spaces and their applications to a few specific problems in Quantum Mechanics.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

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1. Symmetric and antisymmetric tensor products for the function-theoretic operator theorist;Canadian Journal of Mathematics;2023-12-22

2. Quantum controllability on graph-like manifolds through magnetic potentials and boundary conditions;Journal of Physics A: Mathematical and Theoretical;2023-07-19

3. Self-adjoint extensions of bipartite Hamiltonians;Proceedings of the Edinburgh Mathematical Society;2021-06-22

4. Representation of non-semibounded quadratic forms and orthogonal additivity;Journal of Mathematical Analysis and Applications;2021-03

5. On Z -Invariant Self-Adjoint Extensions of the Laplacian on Quantum Circuits;Symmetry;2019-08-14

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