Results 1 to 10 of about 1,300 (247)
Quantum Mechanics of H‐Atom from Path Integrals
Fortschritte Der Physik, 1982 AbstractThe quantum mechanical Coulomb problem in two and three dimensions is solved completely in terms of path integrals. We derive the integral representations for the Green's functions in configuration space and recover the wave functions from factorized residues.
I H Duru
exaly +3 more sources
Path integrals: From quantum mechanics to photonics [PDF]
APL Photonics, 2021 The path integral formulation of quantum mechanics, i.e., the idea that the evolution of a quantum system is determined as a sum over all the possible trajectories that would take the system from the initial to its final state of its dynamical evolution, is perhaps the most elegant and universal framework developed in theoretical physics, second only ...
Charles W. Robson +3 more
core +7 more sources
Fractional quantum mechanics and Lévy path integrals [PDF]
Physics Letters, Section A: General, Atomic and Solid State Physics, 2000 8 pages, added references for section ...
exaly +3 more sources
Path Integral Implementation of Relational Quantum Mechanics [PDF]
Scientific Reports, 2021 Abstract Relational formulation of quantum mechanics is based on the idea that relational properties among quantum systems, instead of the independent properties of a quantum system, are the most fundamental elements to construct quantum mechanics. In the recent works (J. M. Yang, Sci. Rep.
openaire +4 more sources
Renormalized path integral in quantum mechanics [PDF]
Journal of Mathematical Physics, 1997 We obtain direct, finite, formulations of a renormalized quantum mechanical system with no reference to ultraviolet cutoffs and running coupling constants, in both the Hamiltonian and path integral pictures. The path integral description requires a modification to the Wiener measure on continuous paths that describes an unusual diffusion process ...
Henderson, R. J., Rajeev, S. G.
openaire +3 more sources
Differentiable-path integrals in quantum mechanics [PDF]
International Journal of Geometric Methods in Modern Physics, 2015 A method is presented which restricts the space of paths entering the path integral of quantum mechanics to subspaces of Cα, by only allowing paths which possess at least α derivatives. The method introduces two external parameters, and induces the appearance of a particular time scale ϵD such that for time intervals longer than ϵD the model behaves ...
Koch, Benjamin, Reyes, Ignacio
openaire +3 more sources
PATH INTEGRATION IN RELATIVISTIC QUANTUM MECHANICS [PDF]
International Journal of Modern Physics A, 1993 The simple physics of a free particle reveals important features of the path-integral formulation of relativistic quantum theories. The exact quantum-mechanical propagator is calculated here for a particle described by the simple relativistic action proportional to its proper time.
Redmount, Ian H., Suen, Wai-Mo
openaire +2 more sources
Path Integrals in Quantum Mechanics [PDF]
World Scientific Lecture Notes in Physics, 1990 exaly +2 more sources
Anomalous paths in quantum mechanical path-integrals
Physics Letters B, 2013 7 pages,6 ...
Grimsmo, Arne L. +2 more
openaire +5 more sources
Coordinate independence of quantum-mechanical path integrals [PDF]
Physics Letters A, 2000 We develop simple rules for performing integrals over products of distributions in coordinate space. Such products occur in perturbation expansions of path integrals in curvilinear coordinates, where the interactions contain terms of the form dot q^2 q^n, which give rise to highly singular Feynman integrals.
Kleinert, H., Chervyakov, A.
openaire +4 more sources