1. Gaussian integrals -- 2. Path integrals in quantum mechanics -- 3. Partition function and spectrum -- 4. Classical and quantum statistical physics -- 5. Path integrals and quantization -- 6. Path integrals and holomorphic formalism -- 7. Path integrals : fermions -- 8. Barrier penetration : semi-classical approximation -- 9. Quantum evolution and scattering matrix -- 10. Path integrals in phase space -- App. Quantum mechanics : minimal background
Summary
The goal of this book is to introduce students to path integrals within the context of ordinary quantum mechanics and non-relativistic many-body theory, before facing the problems associated with the more involved quantum field theory formalism
