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Homotopy and Path Integrals
Homotopy Path Integral Multiply-connected space Spin Aharonov Bohm effect
2011/9/29
Abstract: This is an introductory review of the connection between homotopy theory and path integrals, mainly focus on works done by Schulman [23] that he compared path integral on SO(3) and its unive...
Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
Fast Converging Path Integrals Time-Dependent Potentials II
2010/12/27
Based on a previously developed recursive approach for calculating the short-time expansion of the propagator for systems with time-independent potentials and its time-dependent generalization for sim...
Fast Converging Path Integrals for Time-Dependent Potentials II: Generalization to Many-body Systems and Real-Time Formalism
Time-dependent potential Effective action Many-body system Imaginary time Real time
2010/11/25
Based on a previously developed recursive approach for calculating the short-time expansion of the propagator for systems with time-independent potentials and its time-dependent generalization for sim...
Path Integrals and the WKB approximation in Loop Quantum Cosmology
Path Integrals WKB approximation Loop Quantum Cosmology
2010/12/20
We follow the Feynman procedure to obtain a path integral formulation of loop quantum cosmology starting from the Hilbert space framework. Quantum geometry effects modify the weight associated with ea...
Path Integrals and Perturbation Theory for Stochastic Processes
Path Integrals Perturbation Theory Stochastic Processes
2010/10/27
We review and extend the formalism introduced by Peliti, that maps a Markov process to a pathintegral representation. After developing the mapping, we apply it to some illustrative examples: the simpl...