Functional integration and the Onsager-Machlup Lagrangian for continuous Markov processes in Riemannian geometries

Quantum Mechanics and Path Integrals

1966 • 10,030 citations

The Principles of Quantum Mechanics

1958 • 5,486 citations

On the Theory of the Brownian Motion

1930 • 4,088 citations

Space-Time Approach to Non-Relativistic Quantum Mechanics

1948 • 4,029 citations

Quantum mechanics as a statistical theory

1949 • 2,900 citations

Statistical Dynamics of Classical Systems

1973 • 1,809 citations

Gravitation and Cosmology

1999 • 1,784 citations

Fluctuations and Irreversible Processes

1953 • 1,675 citations

Generalized harmonic analysis

1930 • 1,662 citations

The Principles of Quantum Mechanics.

1931 • 1,347 citations

Nonlinear problems in random theory

1959 • 959 citations

Statistical Mechanics

1971 • 882 citations

Topics in the theory of random noise

1970 • 868 citations

Integration in Functional Spaces and its Applications in Quantum Physics

1960 • 667 citations

Dynamical Theory in Curved Spaces. I. A Review of the Classical and Quantum Action Principles

1957 • 599 citations

Die mittlere Energie rotierender elektrischer Dipole im Strahlungsfeld

1914 • 481 citations

Elements of the Theory of Markov Processes and their Applications.

1961 • 322 citations

Synergetics

1977 • 300 citations

Path integral formulation of general diffusion processes

1977 • 212 citations

Quantization of a General Dynamical System by Feynman's Path Integration Formulation

1972 • 151 citations

The Weyl correspondence and path integrals

1975 • 132 citations

Path integral methods in statistical mechanics

1975 • 109 citations

Generalized Onsager-Machlup function and classes of path integral solutions of the Fokker-Planck equation and the master equation

1976 • 102 citations

LIII. Dynamical problems in illustration of the theory of gases

1891 • 92 citations

Statistical Theory of Instabilities in Stationary Nonequilibrium Systems with Applications to Lasers and Nonlinear Optics

1973 • 66 citations

Onsager-Machlup Function for one dimensional nonlinear diffusion processes

1975 • 66 citations

Path integrals and ordering rules

1976 • 59 citations

Operator orderings and functional formulations of quantum and stochastic dynamics

1977 • 53 citations

Time-local gaussian processes, path integrals and nonequilibrium nonlinear diffusion

1976 • 52 citations

Functional integration and the brownian movement in a field of force

1967 • 35 citations

Stationary momentum space solution of the Fokker-Planck equation for a simple model of a laser oscillator exhibiting spatial dispersion

1974 • 35 citations

Operator ordering schemes and covariant path integrals of quantum and stochastic processes in Curved space

1978 • 32 citations

On the Feynman proof of the exact relation between a class of path sums and the general nonlinear Fokker-Planck equation

1976 • 24 citations

On the functional integral for generalized Wiener processes and nonequilibrium phenomena

1976 • 22 citations

Functionals of paths of a diffusion process and the Onsager-Machlup function

1977 • 19 citations

Canonical and Feynman quantization in Riemannian spaces

1976 • 16 citations

Covariant Feynman derivation of Schrodinger's equation in a riemannian space

1974 • 15 citations

Proof of the path integral representation of the nonlinear Fokker-Planck equation by means of fourier series

1978 • 15 citations

Diffusion processes and their paths

1978 • 13 citations

Quantization of a general dynamical system

1973 • 12 citations

On the functional integral representation of general continuous markov processes

1978 • 3 citations