This is an expanded version of lectures given in Hangzhou and Beijing, on the symplectic forms common to Seiberg-Witten theory and the theory of solitons. Methods for evaluating the prepotential are discussed. The construction of new integrable mod...
January 2022. Chatterjee, A. Ayush. "Who is Angela Cullen, Lewis Hamilton's physio?". www.sportskeeda.com. Archived from the original on 8 January 2022. Retrieved
The worldwide collaborative effort for the creation of software is technically and socially demanding. The more engaged developers are, the more value they impart to the software they create. Engaged developers, such as Margaret Hamilton programming...
The ground state of spin-1 Haldane chains is characterized by the so-called string order. We show that the same hidden order is also present in ordinary one-dimensional band insulators. We construct a family of Hamiltonians which connects adiabatic...
Elizabeth Kimber is an American former intelligence official. A 1984 graduate of Hamilton College, Kimber majored in French and history. She went on to
This short note is devoted to non-proficient in physics. Its purpose is that of proposing a possible universal connection between the definition of Action given by Goethe in his ``Faust'' tragic play and the Hamilton's Principle of the Minimal Action...
Feynman's Lagrangian path integral was an outgrowth of Dirac's vague surmise that Lagrangians have a role in quantum mechanics. Lagrangians implicitly incorporate Hamilton's first equation of motion, so their use contravenes the uncertainty principle...
We show that the gradient norm $\|\nabla f(x)\|$ for $x \sim \exp(-f(x))$, where $f$ is strongly convex and smooth, concentrates tightly around its mean. This removes a barrier in the prior state-of-the-art analysis for the well-studied Metropolized...
1793. Jefferson's followers became known as the Republicans (or sometimes as the Democratic-Republicans) and Hamilton's followers (the Pro-Administration
We review the fact that U(1) gauge symmetry enables the mapping of one-dimensional Hubbard chains with Rashba-type spin orbit coupling to renormalized Hubbard Hamiltonians. The existence of the mapping has important consequences for the interpretatio...
Finding Hamitonian Cycles in square grid graphs is a well studied and important questions. More recent work has extended these results to triangular and hexagonal grids, as well as further restricted versions. In this paper, we examine a class of mor...
We discuss spontaneous breaking of internal symmetry and its Nambu-Goldstone (NG) modes in dissipative systems. We find that there exist two types of NG modes in dissipative systems corresponding to type-A and type-B NG modes in Hamiltonian systems....
We show that by a suitable choice of a time dependent Hamiltonian, Deutsch's algorithm can be implemented by an adiabatic quantum computer. We extend our analysis to the Deutsch-Jozsa problem and estimate the required running time for both global a...
This paper studies the linear stability problem for solitary wave solutions of Hamiltonian PDEs. The linear stability problem is formulated in terms of the Evans function, a complex analytic function denoted by $D(λ)$, where $λ$ is the spectral par...
Spin-boson models are essentially useful in the understanding of quantum optics, nuclear physics, quantum dissipation, and quantum computation. We discuss quantum phase transitions in various spin-boson Hamiltonians, compare, and contrast them. We...
We study the semi-classical dynamics of a scalar field in the background of a black hole in an asymptotically AdS (AAdS) spacetime, in the framework of the Hamiltonian formulation of General Relativity. The small diffeomorphism (gauge) symmetries gen...
My current watch rotation are all under $1k and my favorite, by far, is the Hamilton KF Murph. Its classic look, legibility, and cathedral hands is just stunning. The lume and accuracy are also incred...
Eigenvalue transformations, which include solving time-dependent differential equations as a special case, have a wide range of applications in scientific and engineering computation. While quantum algorithms for singular value transformations are we...
A Harris Graph is a tough, Eulerian, non-Hamiltonian graph. Several approaches to creating new Harris graphs from existing ones are explored, including creating families of Harris graphs and combining Harris graphs. Pictures of all Harris Graphs thro...
In this paper, we find necessary and sufficient conditions to identify pairs of matrices $X$ and $Y$ for which there exists $Δ\in \mathbb C^{n,n}$ such that $Δ+Δ^*$ is positive semidefinite and $ΔX=Y$. Such a $Δ$ is called a dissipative mapping...