The strange (hi)story of particles and waves*
... also Max Planck remained convinced until about 1900 that atoms are an illusion, while concepts like internal energy, heat and entropy would describe fundamental continua. Indeed, even after the determination of Loschmidt’s number could they have used an argument that formed a severe problem for atom ...
... also Max Planck remained convinced until about 1900 that atoms are an illusion, while concepts like internal energy, heat and entropy would describe fundamental continua. Indeed, even after the determination of Loschmidt’s number could they have used an argument that formed a severe problem for atom ...
Momentum Notes
... Ex B: Two people are practicing curling. The red stone is sliding on the ice towards the west at 5.0 m/s and has a mass of 17.0 kg. The blue stone has a mass of 20.0 kg and is stationary. After the collision, the red stone moves east at 1.25 m/s. Calculate the velocity of the blue stone after the co ...
... Ex B: Two people are practicing curling. The red stone is sliding on the ice towards the west at 5.0 m/s and has a mass of 17.0 kg. The blue stone has a mass of 20.0 kg and is stationary. After the collision, the red stone moves east at 1.25 m/s. Calculate the velocity of the blue stone after the co ...
Weak antilocalization and spin relaxation in integrable quantum dots O Z
... from the constructive interference of backscattered waves, reducing the conductance for systems with time-reversal symmetry, SO coupling turns constructive interference into destructive interference and hence causes an enhanced conductance, i.e. AL. Recently, weak AL has been reconsidered in a numbe ...
... from the constructive interference of backscattered waves, reducing the conductance for systems with time-reversal symmetry, SO coupling turns constructive interference into destructive interference and hence causes an enhanced conductance, i.e. AL. Recently, weak AL has been reconsidered in a numbe ...
Another version - Scott Aaronson
... prepared Molina, Vidick, Watrous 2012:in Aone of the 4 states |0,|1,|+,|- counterfeiter who doesn’t know ...
... prepared Molina, Vidick, Watrous 2012:in Aone of the 4 states |0,|1,|+,|- counterfeiter who doesn’t know ...
AP Momentum 9_05
... The center of mass is the point in space that would move in the same path as a particle containing the mass of an object would if subjected to the same forces. For calculations, one can assume that all the mass of an object is concentrated at the center of mass In general the center of mass and the ...
... The center of mass is the point in space that would move in the same path as a particle containing the mass of an object would if subjected to the same forces. For calculations, one can assume that all the mass of an object is concentrated at the center of mass In general the center of mass and the ...
... jc j2 is the square of the Rabi frequency for the coupling laser and varies linearly with intensity, m13 is the electric dipole matrix element between states | 1i and | 3i, N is the atomic density, and e0 is the permittivity of free space. At line centre, the refractive index is unity, and the seco ...
Exact solutions and the adiabatic heuristic for quantum Hall states
... path to Laughlin’s wave functions, as to supply an argument for their incompressibility. The construction is robust, if the gap in the excitation spectrum of the initial state then a consequence of Landau-level quantization carries through as we travel along in the statistics-magnetic field plane. F ...
... path to Laughlin’s wave functions, as to supply an argument for their incompressibility. The construction is robust, if the gap in the excitation spectrum of the initial state then a consequence of Landau-level quantization carries through as we travel along in the statistics-magnetic field plane. F ...
Chapter 12: Symmetries in Physics: Isospin and the Eightfold Way
... M eV /c2 ’s which is minuscule compared to the typical energy scale of hadrons (i.e. strongly interacting particles) which is about a GeV /c2 . This is why isospin is such a good symmetry and why isomultiplets have nearly identical masses. As it later turned out, the up and down quarks are not the o ...
... M eV /c2 ’s which is minuscule compared to the typical energy scale of hadrons (i.e. strongly interacting particles) which is about a GeV /c2 . This is why isospin is such a good symmetry and why isomultiplets have nearly identical masses. As it later turned out, the up and down quarks are not the o ...
Quantum Computing with Molecules
... atoms is not a problem. The frustration is that as the size of a molecule increases, the interactions between the most distant spins eventually become too weak to use for logic gates. Yet all is not lost. Seth Lloyd of M.I.T. has shown that powerful quantum computers could, in principle, be built ev ...
... atoms is not a problem. The frustration is that as the size of a molecule increases, the interactions between the most distant spins eventually become too weak to use for logic gates. Yet all is not lost. Seth Lloyd of M.I.T. has shown that powerful quantum computers could, in principle, be built ev ...
Anderson Transition for Classical Transport in Composite Materials
... by critical exponents [10–12]. The underlying physics of the quantum and classical MIT are quite different. Anderson localization in quantum systems, described by the Schrödinger equation, is a wave interference phenomenon, and should be universal to all wave systems, such as in optics where it has ...
... by critical exponents [10–12]. The underlying physics of the quantum and classical MIT are quite different. Anderson localization in quantum systems, described by the Schrödinger equation, is a wave interference phenomenon, and should be universal to all wave systems, such as in optics where it has ...
Field Theory and Standard Model
... In the previous section we saw that the combination of quantum mechanics and special relativity has important consequences. First, we need antiparticles, and second, particle number is not well-defined. These properties can be conveniently described by means of fields. A field here is a collection of i ...
... In the previous section we saw that the combination of quantum mechanics and special relativity has important consequences. First, we need antiparticles, and second, particle number is not well-defined. These properties can be conveniently described by means of fields. A field here is a collection of i ...
A tunable two-impurity Kondo system in an atomic point contact
... ground state depends sensitively on their respective magnitude. Many of the peculiar properties of correlated electron materials are attributed to this competition between screening of local spins and magnetic interaction of neighbouring spins. Depending on which interaction dominates, the propertie ...
... ground state depends sensitively on their respective magnitude. Many of the peculiar properties of correlated electron materials are attributed to this competition between screening of local spins and magnetic interaction of neighbouring spins. Depending on which interaction dominates, the propertie ...
The classical and quantum mechanics of a particle on a knot.
... Hamiltonian in (22), but not the third term. This term has its origin in the choice of Weyl ordering, is higher order in h̄, but more importantly, is independent of the momentum operator p and acts multiplicatively on coordinate wavefunctions. Hence, the full Hamiltonian (22) continues to be selfadj ...
... Hamiltonian in (22), but not the third term. This term has its origin in the choice of Weyl ordering, is higher order in h̄, but more importantly, is independent of the momentum operator p and acts multiplicatively on coordinate wavefunctions. Hence, the full Hamiltonian (22) continues to be selfadj ...
How physics could explain the mind
... perhaps you feel they are a part of yourself, but they are not part of your identity. If that had been the case, you would not have been able to separate them from yourself as observable objects. Something certainly exists outside these three spaces. The conundrums of existence might never be fully ...
... perhaps you feel they are a part of yourself, but they are not part of your identity. If that had been the case, you would not have been able to separate them from yourself as observable objects. Something certainly exists outside these three spaces. The conundrums of existence might never be fully ...
pdf - at www.arxiv.org.
... of a local equation for the entropy density. This definition is then applied to Landau’s theory of the Fermi liquid thereby giving the kinetic entropy within that theory. The dynamics of many condensed matter system including Fermi liquids, low temperature superfluids, and ordinary metals lend them ...
... of a local equation for the entropy density. This definition is then applied to Landau’s theory of the Fermi liquid thereby giving the kinetic entropy within that theory. The dynamics of many condensed matter system including Fermi liquids, low temperature superfluids, and ordinary metals lend them ...
73 013601 (2006)
... dimensional system that obeys the KAM theorem, while the kicked harmonic oscillator is known to be a special degenerate system out of the framework of the KAM theorem 关14兴. It is very interesting to understand how both quantum mechanics and mean-field interaction affect the dynamics of such a generi ...
... dimensional system that obeys the KAM theorem, while the kicked harmonic oscillator is known to be a special degenerate system out of the framework of the KAM theorem 关14兴. It is very interesting to understand how both quantum mechanics and mean-field interaction affect the dynamics of such a generi ...
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.