
Resolution-of-identity approach to Hartree–Fock, hybrid
... surfaces, nano-structures, etc) from first principles play an important role in chemistry and condensed-matter research today. Of particular importance are computational approximations to the many-body Schrödinger or Dirac equations that are tractable and yet retain quantitatively reliable atomic-s ...
... surfaces, nano-structures, etc) from first principles play an important role in chemistry and condensed-matter research today. Of particular importance are computational approximations to the many-body Schrödinger or Dirac equations that are tractable and yet retain quantitatively reliable atomic-s ...
Regularity and Approximability of Electronic Wave Functions
... exact application of these laws leads to equations much too complicated to be soluble.” This situation has not changed much during the last eighty years, and depending on what one understands by soluble, it will never change. Dirac continued, “it therefore becomes desirable that approximate practica ...
... exact application of these laws leads to equations much too complicated to be soluble.” This situation has not changed much during the last eighty years, and depending on what one understands by soluble, it will never change. Dirac continued, “it therefore becomes desirable that approximate practica ...
Cavity Induced Interfacing of Atoms and Light
... spontaneous emissions into free space. A deterministic photon emission into a single field mode is therefore possible with an efficiency close to unity. These effects have first been observed by Carmichael et al. [10] and De Martini et al. [11]. Moreover, with the coherence properties uniquely deter ...
... spontaneous emissions into free space. A deterministic photon emission into a single field mode is therefore possible with an efficiency close to unity. These effects have first been observed by Carmichael et al. [10] and De Martini et al. [11]. Moreover, with the coherence properties uniquely deter ...
ABOVE-THRESHOLD IONIZATION: FROM CLASSICAL FEATURES
... its most impressive support in the comparison of experimental ATI spectra in argon with spectra calculated by numerical solution of the three-dimensional time-dependent Schrödinger equation (TDSE) (Nandor et al., 1999); see Fig. 2. The agreement between theory and experiment is as remarkable as it ...
... its most impressive support in the comparison of experimental ATI spectra in argon with spectra calculated by numerical solution of the three-dimensional time-dependent Schrödinger equation (TDSE) (Nandor et al., 1999); see Fig. 2. The agreement between theory and experiment is as remarkable as it ...
Transport study on two-dimensional electrons with controlled short-range alloy disorder
... of preparing samples of Alx Ga1−x As − Al0.3 Ga0.7 As heterostructures, which allow us to systematically study disorder-related physics in two-dimensional electron systems (2DES). We then review the specific physics problems that we will investigate in later chapters of the thesis using these novel ...
... of preparing samples of Alx Ga1−x As − Al0.3 Ga0.7 As heterostructures, which allow us to systematically study disorder-related physics in two-dimensional electron systems (2DES). We then review the specific physics problems that we will investigate in later chapters of the thesis using these novel ...
New Concepts in Inverse Quantum Chemistry - ETH E
... In this design procedure, we rely on density functional theory (DFT), which is the only current quantum chemical theory capable of treating relatively large systems at acceptable computational cost. The fact that the accuracy of a given density functional for a particular molecular system cannot be ...
... In this design procedure, we rely on density functional theory (DFT), which is the only current quantum chemical theory capable of treating relatively large systems at acceptable computational cost. The fact that the accuracy of a given density functional for a particular molecular system cannot be ...
The challenge of consciousness with special reference to the exclusive disjunction
... after all, they are supposed to be the same thing. But this case does seem to be different from the case of water and H2O. For whereas the existence of water without H2O seems absolutely impossible, the existence of B without the headache does seem to be possible. Why? The short answer is: because w ...
... after all, they are supposed to be the same thing. But this case does seem to be different from the case of water and H2O. For whereas the existence of water without H2O seems absolutely impossible, the existence of B without the headache does seem to be possible. Why? The short answer is: because w ...
Quantum-dot lithium in zero magnetic field: Electronic properties
... strong magnetic fields, when all electron spins are fully polarized. In the past three years a growing interest has developed in studying the quantum-dot properties in zero magnetic field B⫽0.23,24,31,32,34,44,46 The aim of these studies is to investigate the Fermi liquid–Wigner solid crossover in t ...
... strong magnetic fields, when all electron spins are fully polarized. In the past three years a growing interest has developed in studying the quantum-dot properties in zero magnetic field B⫽0.23,24,31,32,34,44,46 The aim of these studies is to investigate the Fermi liquid–Wigner solid crossover in t ...
Analysis of the fragmentation function based on ATLAS data
... Another important property of QCD is the asymptotic freedom [17], for which the bond between particles becomes weaker for larger energies or smaller distances. Figure 1 shows the strong coupling constant αs as a function of the kinematic energy scale Q that can be understood as the inverse distance ...
... Another important property of QCD is the asymptotic freedom [17], for which the bond between particles becomes weaker for larger energies or smaller distances. Figure 1 shows the strong coupling constant αs as a function of the kinematic energy scale Q that can be understood as the inverse distance ...
Abstract book final - International Conference on Strongly
... understand the nature of the pseudogap phase and its relationship to both the superconductivity and the charge order. Our sub-lattice phase-resolved electronic structure visualization within each CuO2 unit-cell [1] revealed that the cuprate charge density wave (CDW) state is unique in that it exhibi ...
... understand the nature of the pseudogap phase and its relationship to both the superconductivity and the charge order. Our sub-lattice phase-resolved electronic structure visualization within each CuO2 unit-cell [1] revealed that the cuprate charge density wave (CDW) state is unique in that it exhibi ...
On quantum obfuscation - University of Maryland Institute for
... of encrypting quantum data—a strictly simpler task than encrypting functionality. While informationtheoretic encryption of quantum data has been considered before, in this setting we are interested in encryption of quantum data with computational assumptions1 . This latter subject has not yet receiv ...
... of encrypting quantum data—a strictly simpler task than encrypting functionality. While informationtheoretic encryption of quantum data has been considered before, in this setting we are interested in encryption of quantum data with computational assumptions1 . This latter subject has not yet receiv ...
Approaches to Quantum Gravity
... new mathematics as well as alternative ways of thinking about spacetime and matter, which in turn have triggered the exploration of other promising avenues toward a Quantum Gravity theory. I think it is fair to say that we are still far from having constructed a satisfactory theory of Quantum Gravit ...
... new mathematics as well as alternative ways of thinking about spacetime and matter, which in turn have triggered the exploration of other promising avenues toward a Quantum Gravity theory. I think it is fair to say that we are still far from having constructed a satisfactory theory of Quantum Gravit ...
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... field theory (QFT). The approach is indeed idiosyncratic in the sense of demographics: only a small proportion of those who work on QFT work on algebraic QFT (AQFT). However, there are particular reasons why philosophers, and others interested in foundational issues, will want to study the “algebrai ...
... field theory (QFT). The approach is indeed idiosyncratic in the sense of demographics: only a small proportion of those who work on QFT work on algebraic QFT (AQFT). However, there are particular reasons why philosophers, and others interested in foundational issues, will want to study the “algebrai ...
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.