2000/12/07 by Ken Loo
Mathematics · Physics and Astronomy · #Feynman diagram #Gravitational singularity #Limit (mathematics) #Line integral #Path integral formulation #Probability amplitude #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Riemann integral #Uniqueness #Vector potential #advanced mathematical theories #math-ph #math.MP
paper · pdf · doi:10.1088/0305-4470/33/50/306
published as J. Phys. A: Math. Gen. 33 NO 50(22 Dec. 2000) 9205 - 9214
openalex publication_date 2000/12/07 · arxiv created 2000/12/08 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper, we will show the existence and uniqueness of a real-time, time-sliced Feynman path integral for quantum systems with vector potential. Our formulation of the path integral will be derived on the L 2 transition probability amplitude via improper Riemann integrals. Our formulation will hold for a vector potential Hamiltonian for which its potential and vector potential each carry at most a finite number of singularities and discontinuities.