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How to model quantum plasmas Giovanni Manfredi
How to model quantum plasmas Giovanni Manfredi

... length, the plasma is basically neutral, except for small fluctuations. By ‘collective 1 Quantum effects do play an important role, for example, in determining the fusion cross sections. But this is a nuclear physics rather than a plasma physics issue. What we mean is that the dynamics and thermodyn ...
Gravity originates from variable energy density of
Gravity originates from variable energy density of

Particle-vortex duality of two-dimensional Dirac fermion from electric
Particle-vortex duality of two-dimensional Dirac fermion from electric

Nonperturbative quantum geometries
Nonperturbative quantum geometries

... q u a n t u m field theory, expectation values. They are constraint equations which state that a product of operators annihilates some particular state. In particular, although regularization is required to define the action of the operators on the states, renormalization is not required. Instead, w ...
Steady-state entanglement of two atoms created by classical driving
Steady-state entanglement of two atoms created by classical driving

... To determine the settings, leading to the maximum possible amount of entanglement in the system under consideration, we choose ⍀ = ␶E2, where ␶ is a dimensionless constant to be determined upon the maximization of concurrence. This factor in the Lamb-Dicke limit can be represented as follows: ...
Noneuclidean Tessellations and Their Relation to Regge Trajectories
Noneuclidean Tessellations and Their Relation to Regge Trajectories

... Triangle functions which tessellate the complex plane are described by automorphic functions which represent solid figures. The automorphic functions are the inverses of the quotients of the two independent solutions to a second order differential equation. These quotients can be moved around the co ...
Chapter 1
Chapter 1

Kinetic Energy Estimates for the Accuracy of the Time
Kinetic Energy Estimates for the Accuracy of the Time

... in Appendix A. In [5] the existence and uniqueness of strong solutions to the von Neumann-Poisson equation, another nonlinear self-consistent time-evolution equation on density matrices, are proved with the use of a generalization of the Lieb-Thirring inequality. Another direction in which to genera ...
Quantum mechanics: Myths and facts
Quantum mechanics: Myths and facts

... behave as particles and sometimes as waves, so a dual interpretation was perhaps natural at that time when quantum theory was not yet well understood. From above, one may conclude that the notion of “wave-particle duality” should be completely removed from a modern talk on QM. However, this is not ...
Euclidean Parallel Postulate
Euclidean Parallel Postulate

Theory and simulations of quantum glass forming liquids
Theory and simulations of quantum glass forming liquids

Quantum collision theory with phase-space distributions
Quantum collision theory with phase-space distributions

The path integral representation kernel of evolution operator in
The path integral representation kernel of evolution operator in

... the path integral representation was constructed for the operator evolution kernel (propagator) of a Merton-Garman Hamiltonian. Meanwhile, while constructing the evolution operator kernel in [6, 7], there were encountered a few shortcomings. In particular, the operator structure of the Merton-Garman ...
Twisted Equivariant Matter - Rutgers Physics
Twisted Equivariant Matter - Rutgers Physics

... When we generalize to noncompact groups and infinitedimensional Hilbert spaces there are many possibilities. One physically important case is where we consider a crystal A set of points C with atoms, spins or currents invariant under translation by a rank d lattice . Then C is invariant under the m ...
Graviton Physics
Graviton Physics

... of the photon allow the results to be presented in terms of simple analytic forms[1]. On the surface, a similar analysis should be applicable to the interactions of gravitons. Indeed, like photons, such particles are massless and subject to a gauge invariance, so that similar analytic results for gr ...
Single Particle Tunneling in Strongly Driven Double Well Potentials
Single Particle Tunneling in Strongly Driven Double Well Potentials

... has been pointed out in 1991 [2] that for a specific driving of a double well system the tunneling dynamics can be brought to a complete standstill known as coherent destruction of tunneling (CDT). Very recently this effect in a double well situation has been visualized in specially designed optical ...
Topological Orders
Topological Orders

... and should be addressed for topological orders. ...
Alma Mater Studiorum Universit`a degli Studi di Bologna
Alma Mater Studiorum Universit`a degli Studi di Bologna

... Of course, in some cases, it is technically difficult to find them out. The problem then becomes the one of developing new mathematical tools to attack the calculation of physical quantities. Many 2-dimensional integrable models were deeply analyzed in this respect. In particular, if such theories a ...
Time-dependent quantum circular billiard
Time-dependent quantum circular billiard

... to be time-periodic for the adiabatic and periodic regimes, while for the chaotic regime, periodicity was broken. In this work, we address the two-dimensional extension of the problem considered by Makowski et al. [16]. We solve the Schr¨odinger equation for the circular billiard with a time-depende ...
Complete Analytical Solutions of the Mie
Complete Analytical Solutions of the Mie

Modified Schrödinger equation, its analysis and experimental
Modified Schrödinger equation, its analysis and experimental

... Planck’s constant, wave function, time, mass, potential energy, frequency, wave number, the particle energy, momentum and speed, respectively. We suggest U = 0 and analyse a system consisting of a material particle which initially does not move E = 0, p = 0 with respect to a coordinate system x, y, ...
The role of Chern Simons theory in solving the fractional quantum
The role of Chern Simons theory in solving the fractional quantum

These notes
These notes

Attention, Intention, and Will in Quantum Physics
Attention, Intention, and Will in Quantum Physics

CONCEPTUAL FOUNDATIONS OF THE UNI- FIED THEORY OF WEAK AND ELECTROMAG-
CONCEPTUAL FOUNDATIONS OF THE UNI- FIED THEORY OF WEAK AND ELECTROMAG-

... breakdown of the SU(2) x SU(2) symmetry would then split the Q and Al by something like the Higgs mechanism, but since the theory would not be gauge invariant the pions would remain as physical Goldstone bosons. This theory gave an intriguing result, that the Al/e mass ratio should be r/2, and in tr ...
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Instanton

An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. More precisely, it is a solution to the equations of motion of the classical field theory on a Euclidean spacetime.
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