Hamiltonian path - Wikipedia
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex
Kim Kardashian and Lewis Hamilton Are ‘Growing Closer ... - ELLE
1 day ago · An Entertainment Tonight source gave an update on Kim Kardashian and Lewis Hamilton's growing romantic bond amid their Arizona trip.
Degenerate flat bands in twisted bilayer graphene
We prove that in the chiral limit of the Bistritzer--MacDonald Hamiltonian, there exist magic angles at which the Hamiltonian exhibits flat bands of multiplicity four instead of two. We analyse the structure of Bloch functions associated with the ban...
Self-Adjoint Extensions of the Hamiltonian Operator with Symmetric Potentials which are Un…
We study the self-adjoint extensions of the Hamiltonian operator with symmetric potentials which go to $-\infty$ faster than $-|x|^{2p}$ with $p>1$ as $x\to\pm\infty$. In this extension procedure, one requires the Wronskian between any states in th...
Effective spin-1 breathing kagome Hamiltonian induced by the exchange hierarchy in the map…
As a highly frustrated model Hamiltonian with an exact dimer ground state, the Heisenberg antiferromagnet on the maple leaf lattice is of high theoretical interest, and a material realization is intensely sought after. We determine the magnetic Hamil...
A canonical Hamiltonian formulation of the Navier–Stokes problem
Points: 185 | Comments: 55 | Author: Anon84
Exponential unitary integrators for nonseparable quantum Hamiltonians
Quantum Hamiltonians containing nonseparable products of non-commuting operators, such as $\hat{\bf x}^m \hat{\bf p}^n$, are problematic for numerical studies using split-operator techniques since such products cannot be represented as a sum of separ...
Deconfinement phase transition in the Hamiltonian approach to Yang-Mills theory in Coulomb…
Recent results obtained for the deconfinement phase transition within the Hamiltonian approach to Yang-Mills theory are reviewed. Assuming a quasiparticle picture for the grand canonical gluon ensemble the thermal equilibrium state is found by minimi...
Hamiltonian cycles in Cayley graphs of imprimitive complex reflection groups
Generalizing a result of Conway, Sloane, and Wilkes for real reflection groups, we show the Cayley graph of an imprimitive complex reflection group with respect to standard generating reflections has a Hamiltonian cycle. This is consistent with the l...
Why the Hamilton operator alone is not enough
In the many worlds community seems to exist a belief that the physics of a quantum theory is completely defined by it's Hamilton operator given in an abstract Hilbert space, especially that the position basis may be derived from it as preferred usi...
You'll Be Back - Wikipedia
"You'll Be Back" is the seventh song from Act 1 of the musical Hamilton, based on the life of Alexander Hamilton, which premiered on Broadway in 2015.
Applications of Machine Learning to Modelling and Analysing Dynamical Systems
We explore the use of Physics Informed Neural Networks to analyse nonlinear Hamiltonian Dynamical Systems with a first integral of motion. In this work, we propose an architecture which combines existing Hamiltonian Neural Network structures into Ada...
martin-hamilton/banish-spotify-podcasts
This is a simple Chrome extension which uses CSS to hide the despised Podcasts bar when using Spotify via the web player. (⭐ 4)
Extended mean-field control problems with Poissonian common noise: Stochastic maximum prin…
This paper studies mean-field control problems with state-control joint law dependence and Poissonian common noise. We develop the stochastic maximum principle (SMP) and establish its connection to the Hamiltonian-Jacobi-Bellman (HJB) equation on the...
Homogeneous Poisson structures on symmetric spaces
We calculate, in a relatively explicit way, the Hamiltonian systems which arise from the Evens-Lu construction of homogeneous Poisson structures on both compact and noncompact type symmetric spaces. A corollary is that the Hamiltonian system arisin...
Invariant measures for contact Hamiltonian systems: symplectic sandwiches with contact bre…
We prove that, under some natural conditions, Hamiltonian systems on a contact manifold $C$ can be split into a Reeb dynamics on an open subset of $C$ and a Liouville dynamics on a submanifold of $C$ of codimension 1. For the Reeb dynamics we find an...
The Sasaki Join, Hamiltonian 2-forms, and Sasaki-Einstein Metrics
By combining the join construction from Sasakian geometry with the Hamiltonian 2-form construction from Kähler geometry, we recover Sasaki-Einstein metrics discovered by physicists. Our geometrical approach allows us to give an algorithm for computi...
New super KdV system with the N=4 SCA as the hamiltonian structure
We present a new integrable extension of the a=-2, N=2 SKdV hierarchy, with the "small" N=4 superconformal algebra (SCA) as the second hamiltonian structure. As distinct from the previously known N=4 supersymmetric KdV hierarchy associated with the...
Hamiltonian ODE's on a Space of Deficient Measures
We continue the study (initiated in [1]) of Borel measures whose time evolution is provided by an interacting Hamiltonian structure. Here, the principal focus is the development and advancement of deficency in the measure caused by displacement of ma...
What gives a "theory of Initial Conditions" ?
The present work contains a review of some of the work we have done on complex action or non-Hermitian Hamiltonian theory, especially the result that the anti-Hermitian part of the Hamiltonian functions by determining the actual solution to the equat...