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Everything about Path-integral formulation
Formulation of quantum mechanics
The path-integral formulation of quantum mechanics generalizes the action principle of classical mechanics. It replaces the classical notion of a single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute a quantum amplitude. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Path-integral formulationA 5-minute orientation
- Skim a recent paper: On the path integral formulation of Wigner–Dunkl quantum mechanicsInfluential work since 2022
- Pick up a classic book: Operations ManagementThe most-reprinted book on the subject
- Read the landmark paper: State-dependent diffusion: Thermodynamic consistency and its path integral formulationCited 305 times
- Go sideways: PropagatorA closely related topic
- Go sideways: Relation between Schrödinger's equation and the path integral formulation of quantum mechanicsA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🏆 Landmark papers (most cited)
State-dependent diffusion: Thermodynamic consistency and its path integral formulation
Path integral formulation of general diffusion processes
Stochastic Path Integral Formulation of Full Counting Statistics
Path integral formulation of mean-field perturbation theory
Path integral formulation of noncommutative quantum mechanics
Wavepacket path integral formulation of semiclassical dynamics
A null-scattering path integral formulation of light transport
A path integral formulation of acoustic wave propagation
🆕 Influential since 2022
On the path integral formulation of Wigner–Dunkl quantum mechanics
Path integral formulation for Dunkl-Dirac oscillator in (1+1)-dimensional space-time coordinates
Path-integral formulation of truncated Wigner approximation for bosonic Markovian open quantum systems
Monte Carlo simulation of atmospheric radiative forcings using a path-integral formulation approach for spectro-radiative sensitivities
Feynman path integral formulation of the Bell-Clauser-Horne-Shimony-Holt inequality in quantum field theory
📚 Books worth reading
Operations ManagementRoberta S. Russell, Bernard Taylor · 1998
Cartesian meditationsEdmund Husserl, Dorion Cairns · 1960
Nonlinear finite elements for continua and structuresTed Belytschko, Wing Kam Liu · 2000
Treaty Occupationay ToxicologySuelen Queiroz · 2010
Schwinger's Quantum Action PrincipleKimball A. Milton · 2015
Predicting the FutureHenry Abarbanel · 2013
Gauging what's realRichard Healey · 2007
Quality of service in wireless networks over unlicensed spectrumKlara Nahrstedt · 2011
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
- Propagator In quantum mechanics and quantum field theory, the propagator is a function that specifies the probability amplitude for a particle to travel from one…
- Relation between Schrödinger's equation and the path integral formulation of quantum mechanics This article relates the Schrödinger equation with the path integral formulation of quantum mechanics using a simple nonrelativistic one-dimensional single-part…
- Common integrals in quantum field theory Common integrals in quantum field theory are set of formulas that are useful for computation of various types in quantum field theory such as partition…
- Functional integration Functional integration is a collection of results in mathematics and physics where the domain of an integral is no longer an ordinary region of space,…
- Hamilton's principle In physics, Hamilton's principle is William Rowan Hamilton's formulation of the principle of stationary action. It states that the dynamics of a physical…
- Feynman diagram In theoretical physics, a Feynman diagram is a pictorial representation of the mathematical expressions describing the behavior and interaction of subatomic…
- Effective action In quantum field theory, the quantum effective action is a modified expression for the classical action taking into account quantum corrections while ensuring…
- Scalar field theory In theoretical physics, scalar field theory can refer to a relativistically invariant classical or quantum theory of scalar fields. A scalar field is invariant…