The Feynman Path Integral: An Historical Slice

Abstract

Efforts to give an improved mathematical meaning to Feynman's path integral formulation of quantum mechanics started soon after its introduction and continue to this day. In the present paper, one common thread of development is followed over many years, with contributions made by various authors. The present version of this line of development involves a continuous-time regularization for a general phase space path integral and provides, in the author's opinion at least, perhaps the optimal formulation of the path integral.

LaTeX, 24 pages, no figures

Cited by in corpus (13)

• Freezing Transitions and Extreme Values: Random Matrix Theory, $\zeta (1/2+it)$, and Disordered Landscapes
• Breakdown of the coherent state path integral: two simple examples
• On the Path Integral Formulation of Wigner-Dunkl Quantum Mechanics
• Coherent state path integrals in the continuum
• Remarks on the principles of statistical fluid mechanics
• Saving the Coherent State Path Integral
• Twist operators and pseudo entropies in two-dimensional momentum space
• Hamiltonian Path Integrals In Momentum Space Representation via White Noise Techniques
• Analogy between Boltzmann machines and Feynman path integrals
• Local quantum information dynamics
• Power-Duality in Path Integral Formulation of Quantum Mechanics
• Coherent-state path integrals in the continuum via geometric de-quantization
• Some remarks on history and pre-history of Feynman path integral