Nonequilibrium Green`s function approach
... As we will see later on this approach is based on methods of quantum field theory, and is able to deal with many important problems of statistical physics17–27 and generalization of equilibrium many-body techniques8–14 to nonequilibrium systems. This approach has been used for such diverse nonequili ...
... As we will see later on this approach is based on methods of quantum field theory, and is able to deal with many important problems of statistical physics17–27 and generalization of equilibrium many-body techniques8–14 to nonequilibrium systems. This approach has been used for such diverse nonequili ...
Lectures in Theoretical Biophysics - Theoretical and Computational
... transport one is solely interested in the position of the center of mass of a molecule. It is well known that molecular transport in condensed media can be described by phenomenological equations much simpler than Eq. (2.1), e.g., by the Einstein diffusion equation. The same holds true for reaction ...
... transport one is solely interested in the position of the center of mass of a molecule. It is well known that molecular transport in condensed media can be described by phenomenological equations much simpler than Eq. (2.1), e.g., by the Einstein diffusion equation. The same holds true for reaction ...
Frank Wilczek 1 Selected Publications of Frank Wilczek, with Brief Commentary
... In the first three papers listed below, Gross and I did several things. We discovered the central dynamical feature unique to non-abelian gauge theories, that their effective strength diminishes to zero at short distances or high energy due to quantum antiscreening of charge (asymptotic freedom). We ...
... In the first three papers listed below, Gross and I did several things. We discovered the central dynamical feature unique to non-abelian gauge theories, that their effective strength diminishes to zero at short distances or high energy due to quantum antiscreening of charge (asymptotic freedom). We ...
Observation of topological links associated with Hopf
... that elude the standard classification paradigm of topological phases for free fermions [3, 4]. Recently, Moore, Ran and Wen [9] realized that the two-band case is special because of the existence of Hopf map, a topological map linking the 3D torus that represents the momentum space with the 2D Bloc ...
... that elude the standard classification paradigm of topological phases for free fermions [3, 4]. Recently, Moore, Ran and Wen [9] realized that the two-band case is special because of the existence of Hopf map, a topological map linking the 3D torus that represents the momentum space with the 2D Bloc ...
Recent progress in symplectic algorithms for use in quantum systems
... Hamiltonian system is the evolution of symplectic transformation. In this sense, we say that the Hamiltonian system has a symplectic structure [1, 2]. Therefore, Ruth [3] and Feng [4] presented the symplectic algorithm for solving the Hamiltonian system, which leads to a new method for solving the H ...
... Hamiltonian system is the evolution of symplectic transformation. In this sense, we say that the Hamiltonian system has a symplectic structure [1, 2]. Therefore, Ruth [3] and Feng [4] presented the symplectic algorithm for solving the Hamiltonian system, which leads to a new method for solving the H ...
Theoretical and experimental status of magnetic monopoles
... Then it is easily seen that the vector potential transforms the same way as charges and currents do under duality transformations (2.2b). This is the so-called symmetric case. • There are two strings, necessarily semi-infinite, which are negative reflections of each other. If identical semi-infinite st ...
... Then it is easily seen that the vector potential transforms the same way as charges and currents do under duality transformations (2.2b). This is the so-called symmetric case. • There are two strings, necessarily semi-infinite, which are negative reflections of each other. If identical semi-infinite st ...
The Little Book of String Theory (Science Essentials)
... to do with “string dualities.” A duality is a relation between two apparently different objects, or two apparently different viewpoints. A simplistic example is a checkerboard. One view is that it’s a red board with black squares. Another view is that it’s a black board with red squares. Both viewpo ...
... to do with “string dualities.” A duality is a relation between two apparently different objects, or two apparently different viewpoints. A simplistic example is a checkerboard. One view is that it’s a red board with black squares. Another view is that it’s a black board with red squares. Both viewpo ...
Contributions to the Quantum Optics of Multi
... now my friends. I owe so much to Inés de Vega and Diego Porras, my very first collaborators (together with Ignacio) outside the shelter of my research group and my usual research area; thanks for treating me so well and have confidence in me. Fate decided that I should meet Raúl Garcı́a–Patrón at ...
... now my friends. I owe so much to Inés de Vega and Diego Porras, my very first collaborators (together with Ignacio) outside the shelter of my research group and my usual research area; thanks for treating me so well and have confidence in me. Fate decided that I should meet Raúl Garcı́a–Patrón at ...
Introduction to Quantum Information and Computation for Chemistry
... and 50 basis functions) requires about 1017 configurations. This task is impossible on any current computer. One of the largest FCI calculations reported so far has about 109 configurations (1.3 billion configurations for Cr2 molecules [40]). However, due to exponential speedup promised by quantum c ...
... and 50 basis functions) requires about 1017 configurations. This task is impossible on any current computer. One of the largest FCI calculations reported so far has about 109 configurations (1.3 billion configurations for Cr2 molecules [40]). However, due to exponential speedup promised by quantum c ...
Quantum computing Markus Kiili Opinnäytetyö
... This means that the energies are not so large that particle production from kinetic energy is meaningful. Different physical states of a quantum mechanical system are described by a vector in a complex linear space called a Hilbert space. 3.1.1 Complex numbers ℂ Complex numbers have the following pr ...
... This means that the energies are not so large that particle production from kinetic energy is meaningful. Different physical states of a quantum mechanical system are described by a vector in a complex linear space called a Hilbert space. 3.1.1 Complex numbers ℂ Complex numbers have the following pr ...
Some New Classical and Semiclassical Models for Describing
... that explore complex-valued regions of phase space.1-6 For example, in the 1-d WKB approximation for barrier tunneling, the momentum of the particle is imaginary when it is inside the barrier. Recent work by Kay7 and Heller and co-workers8,9 reemphasizes this fact. For practical reasons, however, fo ...
... that explore complex-valued regions of phase space.1-6 For example, in the 1-d WKB approximation for barrier tunneling, the momentum of the particle is imaginary when it is inside the barrier. Recent work by Kay7 and Heller and co-workers8,9 reemphasizes this fact. For practical reasons, however, fo ...
The Standard Model of particle physics and beyond.
... Grand unified theories. Supersymmetry. Extra-dimensional theories. String theory. ...
... Grand unified theories. Supersymmetry. Extra-dimensional theories. String theory. ...
Monday - AQIS 2016
... quantum physics, especially in quantum optics, and its applications are widely spreading over quantum information processing. The HOM interference has been observed with not only photons but also other bosonic particles, e.g., surface plasmons[2], Helium 4 atoms[3] and phonons[4]. In spite of such d ...
... quantum physics, especially in quantum optics, and its applications are widely spreading over quantum information processing. The HOM interference has been observed with not only photons but also other bosonic particles, e.g., surface plasmons[2], Helium 4 atoms[3] and phonons[4]. In spite of such d ...
Beyond the Standard Model
... The first version of these notes was written up for lectures at the 1995 AIO-school (a school for PhD students) on theoretical particle physics. Later they were adapted for lectures at the Radboud University in Nijmegen, aimed at undergraduate students in their fourth year. This means that no detail ...
... The first version of these notes was written up for lectures at the 1995 AIO-school (a school for PhD students) on theoretical particle physics. Later they were adapted for lectures at the Radboud University in Nijmegen, aimed at undergraduate students in their fourth year. This means that no detail ...
Shankar`s Principles of Quantum Mechanics
... generalizations are postponed. Perhaps when students are finished with this book, they can free themselves from the specific operator assignments and think of quantum mechanics as a general mathematical formalism obeying certain postulates (in the strict sense of the term). The postulates in Chapter ...
... generalizations are postponed. Perhaps when students are finished with this book, they can free themselves from the specific operator assignments and think of quantum mechanics as a general mathematical formalism obeying certain postulates (in the strict sense of the term). The postulates in Chapter ...
Soliton in a Well. Dynamics and Tunneling. - KI-Net
... with initial data of finite energy; assume, moreover that the solution exists and is bounded. Then, if for all (x, t) ∈ [IX , IT ], ψ ̸= 0, then the hydrodynamic equations (20) and (21) for ρ, v have a unique solution identified with the corresponding NLS, via the relations ρ = |ψ|2 , ψ = |ψ|eıϕ , v ...
... with initial data of finite energy; assume, moreover that the solution exists and is bounded. Then, if for all (x, t) ∈ [IX , IT ], ψ ̸= 0, then the hydrodynamic equations (20) and (21) for ρ, v have a unique solution identified with the corresponding NLS, via the relations ρ = |ψ|2 , ψ = |ψ|eıϕ , v ...
Mass hierarchy and physics beyond the Standard Theory
... V = µ2 H † H + λ(H † H)2 µ2 = 0 at tree but becomes < 0 at one loop ...
... V = µ2 H † H + λ(H † H)2 µ2 = 0 at tree but becomes < 0 at one loop ...
The fuzzball paradigm for black holes: FAQ
... far down the throat, something interesting happens. This circle fibers nontrivially over the noncompact directions, making a KK monopole at one point, and an anti-KK monopole somewhere else. The charges of the hole distribute in such a way that the entire geometry is stable and time-independent. Th ...
... far down the throat, something interesting happens. This circle fibers nontrivially over the noncompact directions, making a KK monopole at one point, and an anti-KK monopole somewhere else. The charges of the hole distribute in such a way that the entire geometry is stable and time-independent. Th ...