The quantization of physical systems moving on group and symmetric spaces has been an area of active research over the past three decades. This book shows that it is possible to introduce a representation-independent propagator for a real, separable, connected and simply connect…
1. Introduction -- 2. Path integrals and quantum mechanics -- 3. Harmonic oscillator -- 4. Generating functional -- 5. Path integrals for fermions -- 6. Supersymmetry -- 7. Semi-classical methods -- 8. Path integral for the double well -- 9. Path integral for relativistic theori…
Traditionally, field theory is taught through canonical quantization with a heavy emphasis on high energy physics. However, the techniques of field theory are applicable as well and are extensively used in various other areas of physics such as condensed matter, nuclear physics …
The path integral formulation of quantum mechanics is a description of quantum theory which generalizes the action principle of classical mechanics. This formulation has proved crucial to the subsequent development of theoretical physics. This work is the outcome of a course in …