Particle Physics and the Schroedinger Equation

Cover......Page 1
Title......Page 6
Copyright......Page 7
Dedication......Page 8
Contents......Page 10
Preface......Page 12
1.1 Historical and phenomenological aspects......Page 14
1.2 Rigorous results......Page 23
2.1 General properties......Page 36
2.2 Order of energy levels......Page 42
2.3 Spacing of energy levels......Page 69
2.4 The wave function at the origin, the kinetic energy, mean square radius etc.......Page 80
2.5 Relativistic generalizations of results on level ordering......Page 98
2.6 The inverse problem for confining potentials......Page 109
2.7 Counting the number of bound states......Page 134
3 Miscellaneous results on the three-body and N-body problem......Page 149
Appendix A: Supersymmetric quantum mechanics......Page 159
Appendix B: Proofs of theorems on angular excitations......Page 164
Appendix C: The Sobolev inequality......Page 168
References......Page 172
Index......Page 179