The Logic of Complementarity - Philsci
... mentioned). Although these applications may be interesting, they are outside the scope of this paper. Keeping within physics, it should be recalled that in 1994 Englert et al. argued that complementarity is not simply a consequence of the uncertainty relations, as advocated by those who believe tha ...
... mentioned). Although these applications may be interesting, they are outside the scope of this paper. Keeping within physics, it should be recalled that in 1994 Englert et al. argued that complementarity is not simply a consequence of the uncertainty relations, as advocated by those who believe tha ...
Half-integral weight Eichler integrals and quantum modular forms
... a quantum modular form of weight k is a complex-valued function f on Q whose modular obstructions, or cocycles, f |k (1 − γ) are “nicer” than the original function in some analytic way. For example, f is usually only well-defined on Q, whereas f |k (1 − γ) typically extends to an open set of R and i ...
... a quantum modular form of weight k is a complex-valued function f on Q whose modular obstructions, or cocycles, f |k (1 − γ) are “nicer” than the original function in some analytic way. For example, f is usually only well-defined on Q, whereas f |k (1 − γ) typically extends to an open set of R and i ...
Vacuum fluctuations and moving atoms/detectors: From Casimir
... In this short note we report on some new results and present some thoughts on two wellknown effects arising from the interaction between a moving atom or detector with a quantum field. The Casimir-Polder force [2] is a retardation force on the atom due to the dressing of the atomic ground state by t ...
... In this short note we report on some new results and present some thoughts on two wellknown effects arising from the interaction between a moving atom or detector with a quantum field. The Casimir-Polder force [2] is a retardation force on the atom due to the dressing of the atomic ground state by t ...
Topological insulators and superconductors
... The search for new states of matter The search for new elements led to a golden age of chemistry. The search for new particles led to the golden age of particle physics. In condensed matter physics, we ask what are the fundamental states of matter? In the classical world we have solid, liquid and g ...
... The search for new states of matter The search for new elements led to a golden age of chemistry. The search for new particles led to the golden age of particle physics. In condensed matter physics, we ask what are the fundamental states of matter? In the classical world we have solid, liquid and g ...
Paper
... a more distinct signature of the phase transition [21,22]. Here we show that the disappearance of the critical momentum for superfluid flow provides such a signature and allows the determination of the transition point with high precision. Our measurement was not limited by the inhomogeneous density ...
... a more distinct signature of the phase transition [21,22]. Here we show that the disappearance of the critical momentum for superfluid flow provides such a signature and allows the determination of the transition point with high precision. Our measurement was not limited by the inhomogeneous density ...
On the importance of parallelism for quantum computation and the
... which a parallel approach o ers much more than just a faster solution [4]. A real-time environment, constraining the input data provided and the output produced at various moments in time, can have drastic e ects on the quality of the solution obtained for a certain problem, unless parallelism is em ...
... which a parallel approach o ers much more than just a faster solution [4]. A real-time environment, constraining the input data provided and the output produced at various moments in time, can have drastic e ects on the quality of the solution obtained for a certain problem, unless parallelism is em ...
![arXiv:0905.2946v1 [cond-mat.str-el] 18 May 2009](http://s1.studyres.com/store/data/003310684_1-f6852d9094cc4ebe5853c88b867e67b0-300x300.png)
The Toda Lattice
... where ρ is the map g → g given by precomposing the map r : g∗ → g by the map given by the pairing. Let f and g be coadjoint invariant functions. Then {f, g}r (ξ) = ξ([dfξ , dgξ ]r ) = ξ([ρ(dfξ ), dgξ ]) + ξ([dfξ , ρ(dgξ )]) = (ad∗ρ(dfξ ) (ξ))(dgξ ) − (ad∗ρ(dgξ ) (ξ))(dfξ ) where the last line indica ...
... where ρ is the map g → g given by precomposing the map r : g∗ → g by the map given by the pairing. Let f and g be coadjoint invariant functions. Then {f, g}r (ξ) = ξ([dfξ , dgξ ]r ) = ξ([ρ(dfξ ), dgξ ]) + ξ([dfξ , ρ(dgξ )]) = (ad∗ρ(dfξ ) (ξ))(dgξ ) − (ad∗ρ(dgξ ) (ξ))(dfξ ) where the last line indica ...
Doubly excited nonautoionizing P, D, and F states of helium with
... states of helium atom as the two electrons are strongly correlated for such states. The importance of the electronelectron correlation become apparent after the pioneering observation of one-photon two-electron spectra of ground state of helium in the field of synchrotron radiation 关1兴. With the adv ...
... states of helium atom as the two electrons are strongly correlated for such states. The importance of the electronelectron correlation become apparent after the pioneering observation of one-photon two-electron spectra of ground state of helium in the field of synchrotron radiation 关1兴. With the adv ...
Elementary Particles: Building Blocks of Matter (117 pages)
... It is interesting to follow Lucretius’ argument for the indivisibility of atoms: “If there is no such thing as a smallest unit, that would mean that even the tiniest body, or structure, consists of many limitless parts: halving half of it will become part of an unstoppable chain. Where then is the d ...
... It is interesting to follow Lucretius’ argument for the indivisibility of atoms: “If there is no such thing as a smallest unit, that would mean that even the tiniest body, or structure, consists of many limitless parts: halving half of it will become part of an unstoppable chain. Where then is the d ...
Chapter 5
... that no external forces are acting on the system composed of these two particles. Impulse applied to object 1 ...
... that no external forces are acting on the system composed of these two particles. Impulse applied to object 1 ...
The Law of Conservation of Momentum
... This method of launching many tiny objects is taken to an extreme with ion-propulsion systems for spacecraft. Ion-propulsion systems accelerate individual ions electrically to very high speeds (~30 km/s). This is about 10 faster than a typical chemical rocket. Ion-propulsion can use solar energy to ...
... This method of launching many tiny objects is taken to an extreme with ion-propulsion systems for spacecraft. Ion-propulsion systems accelerate individual ions electrically to very high speeds (~30 km/s). This is about 10 faster than a typical chemical rocket. Ion-propulsion can use solar energy to ...
The CPT Theorem
... ?). The literature contains a gap: there is no rigorous, general proof available of the CPT theorem within the framework of Lagrangian QFT. Driven by the platitude that both mathematical rigour and contact with real physics are highly desirable, this paper aims to fill that gap. We present a rigorou ...
... ?). The literature contains a gap: there is no rigorous, general proof available of the CPT theorem within the framework of Lagrangian QFT. Driven by the platitude that both mathematical rigour and contact with real physics are highly desirable, this paper aims to fill that gap. We present a rigorou ...
Chap. 7 Conceptual Modules Giancoli
... ConcepTest 6.2b Momentum and KE II A system of particles is known to have a total momentum of zero. Does it necessarily follow that the total kinetic energy of the system is also zero? ...
... ConcepTest 6.2b Momentum and KE II A system of particles is known to have a total momentum of zero. Does it necessarily follow that the total kinetic energy of the system is also zero? ...
Foundations and Measures of Quantum Non
... However, a consistent general theory of quantum non-Markovianity does not exist and even the very definition of non-Markovianity is a highly topical issue. Very recently important steps towards a general theory of non-Markoviantiy have been made which try to rigorously define the border between Mark ...
... However, a consistent general theory of quantum non-Markovianity does not exist and even the very definition of non-Markovianity is a highly topical issue. Very recently important steps towards a general theory of non-Markoviantiy have been made which try to rigorously define the border between Mark ...
Terrestrial Energy Frontier: TEVATRON Searches for Higgs and Supersymmetry
... Separate piece of SM introduced “by hand” Mass ↔ Rest energy If we make particle interact with vacuum it will acquire additional energy → MASS In the Standard Model the vacuum is “skewed” by the Higgs field, and particles get mass from interaction with the Higgs field ...
... Separate piece of SM introduced “by hand” Mass ↔ Rest energy If we make particle interact with vacuum it will acquire additional energy → MASS In the Standard Model the vacuum is “skewed” by the Higgs field, and particles get mass from interaction with the Higgs field ...
Interatomic Methods for the Dispersion Energy Derived from the
... separations [30]. When the response function is localized, leading to a diagonal form, the details of the overlap between orbitals are lost. For example, this is clearly the case for an assembly of fluctuating point dipoles. When two point dipoles come into close contact, the Coulomb interaction bet ...
... separations [30]. When the response function is localized, leading to a diagonal form, the details of the overlap between orbitals are lost. For example, this is clearly the case for an assembly of fluctuating point dipoles. When two point dipoles come into close contact, the Coulomb interaction bet ...
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.