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

publication date

  • July 2015

issue

  • 6

volume

  • 12

International Standard Serial Number (ISSN)

  • 0219-8878

Electronic International Standard Serial Number (EISSN)

  • 1793-6977

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.

keywords

  • self-adjoint extensions; quadratic forms; laplace-beltrami operator; dirac operator; bipartite system with boundary; extensions of not semibounded operators