Self-adjoint Extensions in Quantum Mechanics

1. Introduction
D. M. Gitman, I. V. Tyutin, B. L. Voronov

2. Linear Operators in Hilbert Spaces
D. M. Gitman, I. V. Tyutin, B. L. Voronov

3. Basics of the Theory of Self-adjoint Extensions of Symmetric Operators
D. M. Gitman, I. V. Tyutin, B. L. Voronov

4. Differential Operators
D. M. Gitman, I. V. Tyutin, B. L. Voronov

5. Spectral Analysis of Self-adjoint Operators
D. M. Gitman, I. V. Tyutin, B. L. Voronov

6. Free One-Dimensional Particle on an Interval
D. M. Gitman, I. V. Tyutin, B. L. Voronov

7. A One-Dimensional Particle in a Potential Field
D. M. Gitman, I. V. Tyutin, B. L. Voronov

8. Schrödinger Operators with Exactly Solvable Potentials
D. M. Gitman, I. V. Tyutin, B. L. Voronov

9. Dirac Operator with Coulomb Field
D. M. Gitman, I. V. Tyutin, B. L. Voronov

10. Schrödinger and Dirac Operators with Aharonov–Bohm and Magnetic-Solenoid Fields
D. M. Gitman, I. V. Tyutin, B. L. Voronov

Keywords: Mathematics, Mathematical Physics, Mathematical Methods in Physics, Operator Theory, Quantum Physics, Applications of Mathematics