Essays about: "integrals of motion"

Found 5 essays containing the words integrals of motion.

1. 1. Local Integrals of Motion from Neural Networks

   University essay from KTH/Fysik

   Author : Hannes Karlsson; [2023]
   Keywords : many-body localization; integrals of motion; neural networks; machine learning; flerkroppslokalisering; rörelseintegraler; neurala nätverk; maskininlärning;

   Abstract : Neural network quantum states (NNQS) is a novel machine learning method, based on restricted Boltzmann machines, previously used to represent the wave function in many-body quantum mechanics. In this thesis, we use NNQS to instead find integrals of motion, i.e., operators, commuting with the Hamiltonian, describing a system. READ MORE

3. 2. Information Flow and Local Observables in Many Body Localized Systems

   University essay from KTH/Fysik

   Author : Daniel Niemi; [2022]
   Keywords : Theoretical physics; many body localization; localization; aubry-andré; aubry-andrei; condensed matter; quantum matter; Teroretisk fysik; mångpartikellokalisering; lokalisering; aubry-andré; aubry-andrei; kondenserad materia; kvantmateria;

   Abstract : Disordered quantum many-body systems exhibiting the many-body localization (MBL) phenomenon evade the fate of thermalization due to the existence of an extensively large set of quasi-local integrals of motion (l-bits). Due to the size of the Hilbert space of many-body systems, it is hard to compute the time evolution of many-body systems generally, which hinders our understanding of the MBL phenomenon. READ MORE

4. 3. Advanced methods for pricing financial derivatives in a market modelwith two stochastic volatilities

   University essay from Mälardalens högskola/Akademin för utbildning, kultur och kommunikation

   Author : Victor Folajin; [2021]
   Keywords : Financial derivative; market model; cubature method; stochastic Taylor expansion; Stratonovich integral;

   Abstract : This thesis is on an advanced method for pricing financial derivatives in a market model,which comprises two stochastic volatilities. Financial derivatives are instruments whosethat is related to any financial asset. Underlying assets in derivatives are mostly financialinstruments; such as security, currency or a commodity. READ MORE

5. 4. Uncertainty quantification using high-dimensional numerical integration

   University essay from KTH/Skolan för teknikvetenskap (SCI)

   Author : Rickard Strandberg; Johan Låås; [2016]
   Keywords : ;

   Abstract : We consider quantities that are uncertain because they depend on one or many uncertain parameters. If the uncertain parameters are stochastic the expected value of the quantity can be obtained by integrating the quantity over all the possible values these parameters can take and dividing the result by the volume of the parameter-space. READ MORE

6. 5. Numerical simulation of an inertial spheroidal particle in Stokes flow

   University essay from KTH/Numerisk analys, NA

   Author : Joar Bagge; [2015]
   Keywords : Fluid mechanics; Stokes flow; rigid body dynamics; spheroidal particles; inertia; integral equations; boundary integrals; double layer potentials; quadrature by expansion; Jeffery orbits; linear shear flow; quadratic flow; paraboloidal flow; Strömningsmekanik; Stokesflöde; stelkroppsdynamik; sfäroidiska partiklar; tröghet; integralekvationer; randintegraler; dubbellagerpotentialer; quadrature by expansion; Jeffery-banor; linjärt skjuvflöde; kvadratiskt flöde; paraboloidiskt flöde;

   Abstract : Particle suspensions occur in many situations in nature and industry. In this master’s thesis, the motion of a single rigid spheroidal particle immersed in Stokes flow is studied numerically using a boundary integral method and a new specialized quadrature method known as quadrature by expansion (QBX). READ MORE