Business School_BUA 325 Final Zoom Class Slides

Class presentation slides for University of Maine Course BUA 325, from John N. Angelis, Visiting Assistant Professor of Operations Management, University of Maine. The slides include the question How will Business change post-Corona? (slide 7)

Business School_BUA 325 Changes Due To Coronavirus in Work

Material for University of Maine Course BUA 325, from John N. Angelis, Visiting Assistant Professor of Operations Management, University of Maine, regarding changes due to Coronavirus in work from Dumb Wealth

Business School_BUA 325 Dealing With Coronavirus Layoffs Paper Assignment

Description of assignment for University of Maine Course BUA 325 on Dealing With Coronavirus Layoffs, from John N. Angelis, Visiting Assistant Professor of Operations Management, University of Maine

Analytical probabilistic approach to the ground state of lattice quantum systems: exact results in terms of a cumulant expansion

We present a large deviation analysis of a recently proposed probabilistic approach to the study of the ground-state properties of lattice quantum systems. The ground-state energy, as well as the correlation functions in the ground state, are exactly determined as a series expansion in the cumulants of the multiplicities of the potential and hopping energies assumed by the system during its long-time evolution. Once these cumulants are known, even at a finite order, our approach provides the ground state analytically as a function of the Hamiltonian parameters. A scenario of possible applications of this analyticity property is discussed.Comment: 26 pages, 5 figure

Business School_BUA 337 Brief Blackboard Comments

Blackboard Announcement Update in April for University of Maine Course BUA 337, from John N. Angelis, Visiting Assistant Professor of Operations Management, University of Maine, regarding how class topics are affected by COVID-19

Shell Model of Two-dimensional Turbulence in Polymer Solutions

We address the effect of polymer additives on two dimensional turbulence, an issue that was studied recently in experiments and direct numerical simulations. We show that the same simple shell model that reproduced drag reduction in three-dimensional turbulence reproduces all the reported effects in the two-dimensional case. The simplicity of the model offers a straightforward understanding of the all the major effects under consideration

Exact ground state for a class of matrix Hamiltonian models: quantum phase transition and universality in the thermodynamic limit

By using a recently proposed probabilistic approach, we determine the exact ground state of a class of matrix Hamiltonian models characterized by the fact that in the thermodynamic limit the multiplicities of the potential values assumed by the system during its evolution are distributed according to a multinomial probability density. The class includes i) the uniformly fully connected models, namely a collection of states all connected with equal hopping coefficients and in the presence of a potential operator with arbitrary levels and degeneracies, and ii) the random potential systems, in which the hopping operator is generic and arbitrary potential levels are assigned randomly to the states with arbitrary probabilities. For this class of models we find a universal thermodynamic limit characterized only by the levels of the potential, rescaled by the ground-state energy of the system for zero potential, and by the corresponding degeneracies (probabilities). If the degeneracy (probability) of the lowest potential level tends to zero, the ground state of the system undergoes a quantum phase transition between a normal phase and a frozen phase with zero hopping energy. In the frozen phase the ground state condensates into the subspace spanned by the states of the system associated with the lowest potential level.Comment: 31 pages, 13 figure

Business School_Response To Request for Syllabi/Information About Pandemic-Related Courses and Activities Email

Email thread of the response from the Maine School Business to the request for syllabi/information about pandemic-related courses and activities from the Provost Office. Content was submitted by John N. Angelis, Visiting Assistant Professor of Operations Management, University of Maine to Niclas Erhardt, Associate Dean, Maine Business School, University of Maine

Quantum Information and Wave function Collapse

Inofrmation-theoretical restrictions on information transferred in the measurement of object S by information system O are studied. It is shown that such constraints, induced by Heisenberg commutation relations, result in the loss of information about the purity of S state. Consequently, it becomes impossible for O to discriminate pure and mixed S states. In individual events this effect is manifested by the stochastic outcomes of pure S state measurement, i.e. the collapse of pure S state.Comment: 8 pages, talk given on Simposium 'Frontiers of fundamental Physics', Udine, Italy, January 2008, to appear in Proceeding