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

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URI: https://hdl.handle.net/10016/31966
ISSN: 0219-8878
DOI: https://doi.org/10.1142/S0219887815600051
UXXI: AR/0000017052
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Theory_IJGMMP_2015_ps.pdf (745.66 KB)
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2015-07
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World Scientific
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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.
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Self-adjoint extensions, Quadratic forms, Laplace-Beltrami operator, Dirac operator, Bipartite system with boundary, Extensions of not semibounded operators
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Ibort, A., Pérez-Pardo, J. M. (2015). On the theory of self-adjoint extensions of symmetric operators and its applications to quantum physics. International Journal of Geometric Methods in Modern Physics, 12(06), 1560005
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