The Net Advance of Physics:
PATH INTEGRALS

FEYNMAN PATH INTEGRALS and Sum-Over-Histories Quantum Mechanics:

• General:
  • Feynman path integral [PlanetMath]
  • Path integral formulation [Wikipedia]

  • On the Definition and Approximation of Feynman's Path Integrals by Cécile Morette (DeWitt) [Phys. Rev. 81, 848 (1951)]
  • Quantum Mechanics and Path Integrals by Richard P. Feynman and Albert R. Hibbs [New York: McGraw-Hill, 1965]
  • Feynman's path integral: Definition without limiting procedure by Cécile Morette DeWitt [Comm. Math. Phys. 28, 47 (1974)]
  • Mathematical Theory of Feynman Path Integrals by Sergio Albeverio and Raphael Höegh-Krohn [University of Oslo, 1974]
  • An Introduction into the Feynman Path Integral by Christian Grosche [1993/02]
  • Diagrammatica by Martinus Veltmann [Cambridge, 1995]
  • How to solve path integrals in quantum mechanics by Christian Grosche and Frank Steiner [J. Math. Phys. 36, 2354 (1995)]
  • Feynman's proper time approach to QED by Edgardo Garcia Alvarez and Fabian Gaioli [Found. Phys. 28, 1529 (1998)]
  • Handbook of Feynman Path Integrals by Christian Grosche and Frank Steiner. [Berlin: Springer, 1998]
  • Teaching Feynman's Sum Over Paths Quantum Theory by Edwin F. Taylor et al. [Computers in Physics 12, 190 (1998)]
  • World Line Path Integrals as a Calculational Tool in Quantum Field Theory by Michael G. Schmidt and Christian Schubert [1998/10]
  • A History of Feynman's Sum over Histories in Quantum Mechanics by Akira Inomata and Georg Junker [1998/11]
  • The Feynman Integral and Feynman's Operational Calculus by Gerald W. Johnson and Michel L. Lapidus [Oxford, 2000]
    • Review by Meinhard E. Mayer [Physics Today (August 2001)]
  • Path Integral Methods and Applications by Richard MacKenzie [2000/01]
  • Path Integrals and Their Application to Dissipative Quantum Systems by Gert-Ludwig Ingold [Lecture Notes in Physics 611, 1 (2002)]
  • The Feynman Legacy by Lucian M. Ionescu [2007/01]

• Re: BOHM-DE BROGLIE QUANTUM MECHANICS:
  • Feynman's Path Integrals and Bohm's Particle Paths by Roderich Tumulka [Eur. J. Phys. 26, L11 (2005)]
• Re: DIFFERENTIAL GEOMETRY:
  • The Differential Geometry and Physical Basis for the Applications of Feynman Diagrams by Samuel Marateck [2006/03]
• Re: DISSIPATIVE SYSTEMS:
  • Path Integrals and Their Application to Dissipative Quantum Systems by Gert-Ludwig Ingold [Lecture Notes in Physics 611, 1 (2002)]
• Re: INSTANTONS:
  • Path Integral Methods and Applications by Richard MacKenzie [2000/01]
• Re: MONTE CARLO METHODS:
  • The Feynman Path Goes Monte Carlo by Tilman Sauer [2001/07]
• Re: THERMAL FIELD THEORY:
  • Introduction to Thermal Field Theory by T. Altherr [Int. J. Mod. Phys. A8, 5605 (1993)]
  • Introduction to Z(N) Symmetry in SU(N) Gauge Theories at Finite Temperature by Nathan Weiss [1993/11]