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SCHOLARLY PUBLICATION

Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets

Hagen M. Kleinert

📖 WORLD SCIENTIFIC eBooks 📅 2006-07-01 🔗 DOI: 10.1142/6223

📄 Abstract

Fundamentals Path Integrals – Elementary Properties and Simple Solutions External Sources, Correlations, and Perturbation Theory Semiclassical Time Evolution Amplitude Variational Perturbation Theory Path Integrals with Topological Constrainsts Many Particle Orbits – Statistics and Second Quantization Path Integrals in Spherical Coordinates Fixed-Energy Amplitude and Wave Functions Spaces with Curvature and Torsion Schrodinger Equation in General Metric-Affine Spaces New Path Integral Formula for Singular Potentials Path Integral of Coulomb System Solution of Further Path Integrals by the Duru-Kleinert Method Path Integrals in Polymer Physics Polymers and Particle Orbits in Multiply Connected Spaces Tunneling Nonequilibrium Quantum Statistics Relativistic Particle Orbits Path Integrals and Financial Markets.

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