
Adiabatic Geometric Phases and Response Functions
... the freedoms are smaller in number. Thus, when we pick up a single-particle state, it ought to be one that can be written as a random superposition of plane waves in the sense of [27]. This is possible for a system with chaotic classical dynamics. It is these states which can be combined into a Slat ...
... the freedoms are smaller in number. Thus, when we pick up a single-particle state, it ought to be one that can be written as a random superposition of plane waves in the sense of [27]. This is possible for a system with chaotic classical dynamics. It is these states which can be combined into a Slat ...
Field Theory on Curved Noncommutative Spacetimes
... In this work we follow the formulation proposed by Julius Wess and his group [6, 7] to describe NC gravity and field theories. As ingredients we use ?-products instead of abstract operator algebras. This approach is called deformation quantization [20] and has the advantage that the quantum theory i ...
... In this work we follow the formulation proposed by Julius Wess and his group [6, 7] to describe NC gravity and field theories. As ingredients we use ?-products instead of abstract operator algebras. This approach is called deformation quantization [20] and has the advantage that the quantum theory i ...
Lamb shift
... The Lamb shift results from the coupling of the atomic electron to the vacuum electromagnetic field which was ignored in Dirac theory. ...
... The Lamb shift results from the coupling of the atomic electron to the vacuum electromagnetic field which was ignored in Dirac theory. ...
Decay rates of planar helium - the Max Planck Institute for the
... unexpected that the two and three dimensional systems decay similarly by autoionization. Note, however, that the topology of phase space differs in the two cases (a single plane in two dimensions, an infinite manifold in three dimensions), and this could strongly affect transport properties and deca ...
... unexpected that the two and three dimensional systems decay similarly by autoionization. Note, however, that the topology of phase space differs in the two cases (a single plane in two dimensions, an infinite manifold in three dimensions), and this could strongly affect transport properties and deca ...
Time Evolution of States for Open Quantum
... In applications one consider thermal equilibrium states for environment: ρ̂E = Z(β)−1 e−β K̂E where KE is a quadratic form, positive-definite and β = T1 , T > 0 is the temperature, Z(β) = tr(e−β K̂E ). In this setting it is possible to find the exact time dependent master equation satisfied by ρ̂S ( ...
... In applications one consider thermal equilibrium states for environment: ρ̂E = Z(β)−1 e−β K̂E where KE is a quadratic form, positive-definite and β = T1 , T > 0 is the temperature, Z(β) = tr(e−β K̂E ). In this setting it is possible to find the exact time dependent master equation satisfied by ρ̂S ( ...
Dynamical generation of wormholes with charged fluids in quadratic Palatini gravity
... Depending on ϵ ¼ þ1ð−1Þ it corresponds to an ingoing (outgoing) radial flow, and mðvÞ is a monotonically increasing (decreasing) function in the advanced (retarded) time coordinate −∞ < v < þ∞. Both the Vaidya solution and its extension to the charged case, the Bonnor-Vaidya solution [2], have been ...
... Depending on ϵ ¼ þ1ð−1Þ it corresponds to an ingoing (outgoing) radial flow, and mðvÞ is a monotonically increasing (decreasing) function in the advanced (retarded) time coordinate −∞ < v < þ∞. Both the Vaidya solution and its extension to the charged case, the Bonnor-Vaidya solution [2], have been ...
Geometrical approach for description of the mixed state in
... considering multi-well potentials) encounters an obstacle: action-angle variables effectively work only in neighborhood of local minimum. Because of this, an interest to methods, based on direct estimation of trajectories moving away speed, arises. The criterion of such a type is so-called negative ...
... considering multi-well potentials) encounters an obstacle: action-angle variables effectively work only in neighborhood of local minimum. Because of this, an interest to methods, based on direct estimation of trajectories moving away speed, arises. The criterion of such a type is so-called negative ...
PowerPoint Lesson 2
... A.CED.1 Create equations and inequalities in one variable and use them to solve ...
... A.CED.1 Create equations and inequalities in one variable and use them to solve ...
Quantum Field Theory Frank Wilczek
... experiments they will obtain reproducible results. Direct quantitative tests of locality, or rather of its close cousin causality, are aorded by dispersion relations. The deep and ancient historic roots of the eld and locality concepts provide no guarantee that these concepts remain relevant or va ...
... experiments they will obtain reproducible results. Direct quantitative tests of locality, or rather of its close cousin causality, are aorded by dispersion relations. The deep and ancient historic roots of the eld and locality concepts provide no guarantee that these concepts remain relevant or va ...
slides - Mathematics Department
... The above (Raw) equation is linear but it does not preserve the norm. Prescription: determine and then normalize it (it does not matter when). The physically relevant equation (Cooked) is obtained by the ...
... The above (Raw) equation is linear but it does not preserve the norm. Prescription: determine and then normalize it (it does not matter when). The physically relevant equation (Cooked) is obtained by the ...
3rd year
... but as it approaches the step potential towards the right for ,it has to face a potential barrier of height Denoting the wave function in the region ...
... but as it approaches the step potential towards the right for ,it has to face a potential barrier of height Denoting the wave function in the region ...
6 Wave equation in spherical polar coordinates
... which is known as the Associated Legendre Equation. Solutions of the Associated Legendre Equation are the Associated Legendre Polynomials. Note that the equation depends on m2 and the equation and solutions are the same for +m and −m. It will turn out that there are smart ways to generate solutions ...
... which is known as the Associated Legendre Equation. Solutions of the Associated Legendre Equation are the Associated Legendre Polynomials. Note that the equation depends on m2 and the equation and solutions are the same for +m and −m. It will turn out that there are smart ways to generate solutions ...
CompStar WG2/TL2
... investigations of light and heavy quark bound states. Properties of hadrons in different media: dense hadronic phase, deconfined light quark matter, deconfined light and strange quark matter, heavy quarkonia. QCD sum rules (role of various condensates). Role of resonances, gluons and exotic degrees ...
... investigations of light and heavy quark bound states. Properties of hadrons in different media: dense hadronic phase, deconfined light quark matter, deconfined light and strange quark matter, heavy quarkonia. QCD sum rules (role of various condensates). Role of resonances, gluons and exotic degrees ...
Loop quantum gravity - Institute for Gravitation and the Cosmos
... and fluctuating object. We can, of course, still call it “space”, than two decades before they become concrete. The turnor “quantum space”, as indeed I do in this article. But it is around came suddenly at the end of the 1980s, when a well really a quantum field in a world where there are only field ...
... and fluctuating object. We can, of course, still call it “space”, than two decades before they become concrete. The turnor “quantum space”, as indeed I do in this article. But it is around came suddenly at the end of the 1980s, when a well really a quantum field in a world where there are only field ...