Feynman path integral
A New Perspective on Path Integral Quantum Mechanics in Curved Space-Time
... The Feynman path integral is arguably one of the most elegant and physically intuitive approaches available for describing quantum mechanics, primarily because it provides a single conceptual and ...
6
The exact connection between the feynman integral and a completely integrable system
... current path is still haphazard, particularly to grasp the rigorous mathematical realization of Feynman integral theory & applications and the classification of physically significant integrable ...
27
Glimpse on the relationship between Feynman integral and integrable system
... The path from classical mechanics to quantum mechanics is known as ...the Feynman path integral ...the Feynman integral can be used to generate Jones polynomial, or otherwise can ...
8
Finite Temperature Excitations of a Trapped Bose Gas by Feynman-Kac Path Integral Approach
... connect Feynman-Kac(FK) or Generalized Feynman Kac(GFK) to other many body techniques our numerical procedure[18,19] has straight-forward implementation to Schroedinger’s wave ...a path ...
10
Cognitive Supervisor for an Autonomous Swarm of Robots
... As inspired by this discovery in brain science, the present paper proposes a novel probabilistic spatio-temporal model for mammalian path integration and navigation, formulated as an adaptive Hamiltonian ...
22
Feynman Paths and Weak Values
... Abstract: There has been a recent revival of interest in the notion of a ‘trajectory’ of a quantum particle. In this paper we detail the relationship between Dirac’s ideas, Feynman paths and the Bohm approach. The ...
11
Path-dependent backward stochastic Volterra integral equations with jumps, differentiability and duality principle
... to path-dependent backward stochastic Volterra integral equations (BSVIEs) with jumps, where path- dependence means the dependence of the free term and generator of a path of a c`adl`ag ...
37
On the Feynman Ratchet and the Brownian Motor
... Unfortunately, this construction does not work, and could not demonstrate the Carnot-engine. The problem is that when the blade-wheel is in thermal equi- librium with the heat-reservoir, the internal energy fluctuates ...
9
Path-Integral and Coarse-Graining Strategies for Complex Molecular Phenomena
... that path-integral methods could provide accurate predictions of equilibrium isotopologue enrichment with similar or better precision than analyti- cal instrumentation, while the Urey model exhibited uneven ...
139
A Generalized Path Integral Control Approach to Reinforcement Learning
... with path integrals to derive a novel approach to RL with parameterized ...a path integral which has no open algorithmic parameters other than the exploration ...with Path Integrals (PI 2 ) ...
45
Integral Root Labeling of Graphs
... = 𝑖 2 +𝑖 2 +𝑖+𝑖 3 2 +1+2𝑖 = 3𝑖 2 +3𝑖+1 3 = 𝑖 are distinct. Hence 𝑃 𝑛 is an Integral Root graph. ...
6
A new inequality for the Riemann Stieltjes integrals driven by irregular signals in Banach spaces
... The integral obtained as the limit of Riemann- Stieltjes sums in this case is often called the Young ...an integral is not necessarily obtained as the limit of Riemann-Stieltjes ...
23
Path Integral Quantization of Superparticle with 1/4 Supersymmetry Breaking
... Canonical path integral method is a kind of quantiza- tion method [8,9], which depends on Hamilton-Jacobi formalism shown by Güler [10,11]. This method has some very useful properties of obviating the need ...
5
Accelerated path integral simulations using ring polymer interpolation
... Path-integral (PI) molecular simulations can be used to calculate exact quantum statistical mechanical prop- erties for complex systems containing many interacting atoms and molecules. The limiting ...
11
Design of Low Power Counters Using Reversible Logic
... A logic gate L is said to be reversible if, for any output y, there is a unique input x such that applying L(x) = y. If a gate L is reversible, there is an inverse gate L′ which maps y to x for which L′(y) = x. A ...
8
Path-Integral Methods for Analyzing the Effects of Fluctuations in Stochastic Hybrid Neural Networks
... corresponding path-integral representation of the stochastic ...the path integral provides an efficient method for obtaining a diffusion approximation of the hybrid system for small ...the ...
33
Torsional path-integral Monte Carlo method for the quantum simulation of molecular systems
... the path integral Monte Carlo technique to torsional degrees of freedom of large molecular systems for the purpose of calculating quantum mechanical internal energies at non-zero ...All path ...
88
Feynman Perturbation Series for the Morse Potential
... In this work, we have calculated the Green’s function for the Morse potential using the perturbation method in the path integral formalism. This contribution concerns, for the first time, the calculation of ...
9
Dual Feynman transform for modular operads
... corresponding Feynman amplitudes for all ribbon graph without legs are zero, the algebra V does not furnish any nontrivial cocycles on the twisted ribbon graph ...
28
Path Integral Formulation for Wave Effect in Multilens System
... where the dot denotes the differentiation with respect to r and Θ is used to represent the variables ( θ ϕ , ) , which are related by Θ = ( θ cos , sin ϕ θ ϕ ) . The expression (6) means the sum of all possible ...
9