دانلود کتاب Geometrical Mechanics and De Broglie Waves

فهرست مطالب :

Preface ......Page 7
I. Introduction ......Page 9
II. General Theory of Rays and Waves in Space-time ......Page 14
2.1 Rays in space-time ......Page 20
2.2 Waves in space-time ......Page 24
2.3 Gauge transformations ......Page 27
2.4 Geometrical and kinematical descriptions of the unit 3-wave ......Page 30
2.5 Wave velocity and ray velocity ......Page 33
2.6 Wave packets and group velocity ......Page 38
2.7 Laws of reflexion and refraction ......Page 44
2.8 Hamilton's T-function ......Page 48
2.9 Focal properties ......Page 56
2.10 Special types of medium-functions ......Page 59
3.1 Basic formulae for a free particle ......Page 68
3.2 Refraction through a hole ......Page 78
3.3 Refraction at a potential-jump ......Page 82
3.4 Rays and waves for a charged particle in a given electromagnetic field ......Page 96
3.5 De Broglie waves from a source-event in a uniform electrostatic field ......Page 102
3.6 De Broglie waves for a particle in a central field of force ......Page 105
4.1 Quantization for plane waves for a free particle ......Page 113
4.2 Quantization for waves from a source-event ......Page 116
4.3 Primitive quantization ......Page 120
4.4 Primitive quantization for a central field of force and for the hydrogenic atom ......Page 123
4.5 The Zeeman effect ......Page 132
4.6 Interference for a single free particle and two holes ......Page 137
5.1 Rays and waves in a Hamiltonian space ......Page 144
5.2 The two-body problem ......Page 152
5.3 Two free particles in empty space-time ......Page 155
5.4 Interference of two particles passing through two holes ......Page 160
5.5 The optical method and the dynamical method ......Page 168
References ......Page 172
Index ......Page 173