Contents

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Introduction ix
4. Publications xii
5. The Inverse r-Squared Force: An Introduction to Its Symmetries 1
6. Certain Hilbert Spaces of Analytic Functions Associated With the Heisenberg Group 19
7. Lower Bound for the Ground State Energy of the Schrodinger Equation Using the Sharp Form of Young's Inequality 83
8. Alternative Theories of Gravitation 91
9. Generalized Wronskian Relations: A Novel Approach to Bargmann-Equivalent and Phase-Equivalent Potentials 107
10. Old and New Approaches to the Inverse Scattering Problem 151
11. A Family of Optimal Conditions for the Absence of Bound States in a Potential 169
12. Spinning Tops in External Fields 195
13. Measures on the Finite Dimensional Subspaces of a Hilbert Space: Remarks to a Theorem 209
14. The Froissart Bound and Crossing Symmetry 229
15. Intertwining Operators for SL(n, R) 239
16. Inequalities for the Moments of the Eigenvalues of the Schrodinger Hamiltonian and Their Relation to Sobolev Inequalities 269
17. On the Number of Bound States of Two Body Schrodinger Operators — A Review 305
18. Quantum Dynamics: From Automorphism to Hamiltonian 327
19. Semiclassical Analysis Illuminates the Connection Between Potential and Bound States and Scattering 351
20. Instability Phenomena in the External Field Problem for Two Classes of Relativistic Wave Equations 423