Line integral, the integral of a function along a curve
Contour integral, the integral of a complex function along a curve used in complex analysis
Functional integration, the integral of a functional over a space of curves
Path integral formulation, Richard Feynman's formulation of quantum mechanics using functional integration
Topics referred to by the same term
This disambiguation page lists mathematics articles associated with the same title. If an internal link led you here, you may wish to change the link to point directly to the intended article.
The pathintegral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics. It replaces...
Pathintegral may refer to: Line integral, the integral of a function along a curve Contour integral, the integral of a complex function along a curve...
mathematics, a line integral is an integral where the function to be integrated is evaluated along a curve. The terms pathintegral, curve integral, and curvilinear...
Pathintegral Monte Carlo (PIMC) is a quantum Monte Carlo method used to solve quantum statistical mechanics problems numerically within the path integral...
differential equations, and in the pathintegral approach to the quantum mechanics of particles and fields. In an ordinary integral (in the sense of Lebesgue integration)...
closely tied to the functional integral formulation of quantum mechanics, also invented by Feynman—see pathintegral formulation. The naïve application...
integral transforms find special applicability within other scientific and mathematical disciplines. Another usage example is the kernel in the path integral:...
possible at the same time. According to the Feynman path-integral formulation of quantum mechanics, the path of the quantum object is described mathematically...
of the ground state of the harmonic oscillator. This integral is also used in the pathintegral formulation, to find the propagator of the harmonic oscillator...
(sometimes called a pathintegral) is an integral where the function to be integrated is evaluated along a curve. Various different line integrals are in use....
generalized as a pathintegral as part of the ray tracing procedure. A difference in OPL between two paths is often called the optical path difference (OPD)...
commonly known as Feynman Integrals. In the core of Pathintegrals lies the concept of Functional integration. Regular integrals consist of a limiting process...
Pathintegral molecular dynamics (PIMD) is a method of incorporating quantum mechanics into molecular dynamics simulations using Feynman path integrals...
1988) was an American theoretical physicist, known for his work in the pathintegral formulation of quantum mechanics, the theory of quantum electrodynamics...
_{I}\rangle .} Taking the limit N → ∞, the above product of integrals becomes the Feynman pathintegral:: 282 : 12 ⟨ ϕ F | e − i H T | ϕ I ⟩ = ∫ D ϕ ( t ) exp...
worldsheets. Bosonic string theory can be said to be defined by the pathintegral quantization of the Polyakov action: I 0 [ g , X ] = T 8 π ∫ M d 2 ξ...
dynamical system. The Parisi–Sourlas method is a way of construction of the pathintegral representation of the Langevin SDE. It can be thought of as a BRST gauge...
naturally take a gradual bend shape resembling an Euler spiral. In the pathintegral formulation of quantum mechanics, the probability amplitude for propagation...
possible generalization, often used by physicists when using the Feynman pathintegral formalism in quantum field theory (QFT), uses a functional integration:...
Instantons are important in quantum field theory because: they appear in the pathintegral as the leading quantum corrections to the classical behavior of a system...
that its line integral is path independent; the choice of path between two points does not change the value of the line integral. Path independence of...
: 13–15 Other integrals can be approximated by versions of the Gaussian integral. Fourier integrals are also considered. The first integral, with broad...
Global Information