
Corrals and Critical Behavior of the Distribution of Fluctuational Paths
... to reveal the critical behavior of the fluctuational paths. The characteristic width of the distribution (13) is ,D 1y4 , and its shape is determined by the soft mode cc0 std. This mode is localized within the range tc 2 t & tr . For tc 2 t ¿ tr the distribution (12) goes over into the stationary Ga ...
... to reveal the critical behavior of the fluctuational paths. The characteristic width of the distribution (13) is ,D 1y4 , and its shape is determined by the soft mode cc0 std. This mode is localized within the range tc 2 t & tr . For tc 2 t ¿ tr the distribution (12) goes over into the stationary Ga ...
Ph.D. thesis - Chin Lab at the University of Chicago
... dominates over their mobility. We study slow mass transport and statistical evolution of atoms in the lattice, as well as scale invariance and universality in weakly-interacting 2D quantum gases without lattice. These results offer the essential knowledge to prepare and investigate atomic samples in ...
... dominates over their mobility. We study slow mass transport and statistical evolution of atoms in the lattice, as well as scale invariance and universality in weakly-interacting 2D quantum gases without lattice. These results offer the essential knowledge to prepare and investigate atomic samples in ...
The Construction and Characterization of a Magneto
... a net force directed oppositely to its travel. The overall effect is that in the intersection region the light exerts a damping force on the atoms, much like the damping effect of a viscous fluid on the ...
... a net force directed oppositely to its travel. The overall effect is that in the intersection region the light exerts a damping force on the atoms, much like the damping effect of a viscous fluid on the ...
Pdf - Text of NPTEL IIT Video Lectures
... Anyway, that we will be coming later again, but first let me talk about the flow model. Say in one of the model, what are we interested that we see what is happening inside this control volume, what is happening inside this control volume, and the flow is say moving like that, flow is moving like th ...
... Anyway, that we will be coming later again, but first let me talk about the flow model. Say in one of the model, what are we interested that we see what is happening inside this control volume, what is happening inside this control volume, and the flow is say moving like that, flow is moving like th ...
The Final Theory -
... That is, are we confusing practical know-how and abstract models with true knowledge and understanding? A closer look shows that solid answers to these and many other questions about everyday occurrences are not to be found in today’s Standard Theory. Science has managed to model our observations ra ...
... That is, are we confusing practical know-how and abstract models with true knowledge and understanding? A closer look shows that solid answers to these and many other questions about everyday occurrences are not to be found in today’s Standard Theory. Science has managed to model our observations ra ...
rotating + ω r
... Centrifugal “Force”. It comes solely from the attempt to extend Newton’s 2nd Law to the non-inertial system! Only possible with a correction “force”. ...
... Centrifugal “Force”. It comes solely from the attempt to extend Newton’s 2nd Law to the non-inertial system! Only possible with a correction “force”. ...
q -entropies and the entanglement dynamics of two-qubits interacting with an... 408 A. Hamadou-Ibrahim et al.
... those applications. Due to the wealth of interesting and usefull results obtained during the last twenty years concerning (T ) the properties of the Sq measure, Tsallis entropy can now be regarded as part of the standard tool-kit of scientists and engineers that use probabilistic or information-rela ...
... those applications. Due to the wealth of interesting and usefull results obtained during the last twenty years concerning (T ) the properties of the Sq measure, Tsallis entropy can now be regarded as part of the standard tool-kit of scientists and engineers that use probabilistic or information-rela ...
Lattice quantum field theory
... the path integral for any observable with, in principle, arbitrary precision by a numerical calculation. Especially, in many cases the required computational time grows only like a (small) power of the number of points of the lattice. Therefore, such calculations are actually feasible on nowadays co ...
... the path integral for any observable with, in principle, arbitrary precision by a numerical calculation. Especially, in many cases the required computational time grows only like a (small) power of the number of points of the lattice. Therefore, such calculations are actually feasible on nowadays co ...
Mass-imbalanced Three-Body Systems in Two Dimensions
... Here we are considering only zero-range interactions since we are interested in the model-independent low-energy universal limit. This limit emphasizes universal behaviour that should be independent of the particular system under study. In general, the validity of the approximation can be establishe ...
... Here we are considering only zero-range interactions since we are interested in the model-independent low-energy universal limit. This limit emphasizes universal behaviour that should be independent of the particular system under study. In general, the validity of the approximation can be establishe ...
Infinitely Disordered Critical Behavior in Higher Dimensional
... phase transition. At a continuous phase transition the degrees of freedom become macroscopically correlated at the critical point, thus the emerging singularities are powerful manifestations of collective phenomena. In this thesis we are going to study continuous quantum phase transitions, driven by ...
... phase transition. At a continuous phase transition the degrees of freedom become macroscopically correlated at the critical point, thus the emerging singularities are powerful manifestations of collective phenomena. In this thesis we are going to study continuous quantum phase transitions, driven by ...
Implementation of the SCC-DFTB Method for
... if desired. Similarly, while the default link atom to be used is a hydrogen atom, this can be changed by the user at run time as necessary. The electrostatic interactions of the MM link pair atom are replaced by those of the link atom, while the van der Waals interactions remain with the MM link pai ...
... if desired. Similarly, while the default link atom to be used is a hydrogen atom, this can be changed by the user at run time as necessary. The electrostatic interactions of the MM link pair atom are replaced by those of the link atom, while the van der Waals interactions remain with the MM link pai ...
Renormalization group

In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.