Feynman Path Integrals in Quantum Mechanics and Statistical Physics

Lukong Cornelius Fai is professor of theoretical physics at the Department of Physics, Faculty of Sciences, University of Dschang. He is Head of Condensed Matter and Nanomaterials as well as Mesoscopic and Multilayer Structures Laboratory. He was formerly a senior associate at the Abdus Salam International Centre for Theoretical Physics (ICTP), Italy. He holds a Masters of Science in Physics and Mathematics (June 1991) as well as a Doctor of Science in Physics and Mathematics (February 1997) from Moldova State University. He is an author of over a hundred scientific publications and three textbooks

1 Path Integral Formalism Intuitive Approach 2 Matrix Representation of Linear Operators 3 Operators in Phase Space 4 Transition Amplitude 5 Stationary and Quasi-Classical Approximations 6 Gaussian Functional Integrals 7 From Path Integration to the Schrödinger Equation 8 Quasi-Classical Approximation 9 Free Particle and Harmonic Oscillator 10 Matrix Element of a Physical Operator via Functional Integral 11 Path Integral Perturbation Theory 12 Transition Matrix Element 13 Functional Derivative 14 Quantum Statistical Mechanics Functional Integral Approach 15 Partition Function and Density Matrix Path Integral Representation 16 Quasi-Classical Approximation in Quantum Statistical Mechanics 17 Feynman Variational Method 18 Polaron Theory 19 Multi-Photon Absorption by Polarons in a Spherical Quantum Dot 20 Polaronic Kinetics in a Spherical Quantum Dot 21 Kinetic Theory of Gases