Phonons and related crystal properties from density
... equals the total number of electrons. Furthermore, the value of the minimum coincides with the ground-state energy. This theorem provides the foundation of what is currently known as density-functional theory (DFT; Parr and Yang, 1989; Dreizler and Gross, 1990). It allows an enormous conceptual simp ...
... equals the total number of electrons. Furthermore, the value of the minimum coincides with the ground-state energy. This theorem provides the foundation of what is currently known as density-functional theory (DFT; Parr and Yang, 1989; Dreizler and Gross, 1990). It allows an enormous conceptual simp ...
Free particles from Brauer algebras in complex matrix models David Turton
... Brauer basis of operators The Brauer algebra can be used to build an orthogonal basis, as follows: The representations of the Brauer algebra are labelled by γ = (k, γ+ , γ− ) where k is an integer in the range 0 ≤ k ≤ min(m, n) (γ+ , γ− ) have m − k and n − k boxes respectively and form a form a co ...
... Brauer basis of operators The Brauer algebra can be used to build an orthogonal basis, as follows: The representations of the Brauer algebra are labelled by γ = (k, γ+ , γ− ) where k is an integer in the range 0 ≤ k ≤ min(m, n) (γ+ , γ− ) have m − k and n − k boxes respectively and form a form a co ...
Vectors and Moments
... those described above are called free vectors. Examples of free vectors are the angular velocity of a rigid body and a torque applied to a rigid body. The effect of the action of a force on a rigid body depends on the former’s line of action. As discussed in Chapter 1, Newton’s third law states, amon ...
... those described above are called free vectors. Examples of free vectors are the angular velocity of a rigid body and a torque applied to a rigid body. The effect of the action of a force on a rigid body depends on the former’s line of action. As discussed in Chapter 1, Newton’s third law states, amon ...
Magnetic vortex dynamics induced by an electrical current
... (3). The last term describes the Gilbert damping with η = π α ln(L/ ). We obtained Thiele equations (24) using the TWA (23), which is a good approach for an infinite film. However for the finite size system, the boundary conditions should be taken into account. In a finite system with a vortex situated ...
... (3). The last term describes the Gilbert damping with η = π α ln(L/ ). We obtained Thiele equations (24) using the TWA (23), which is a good approach for an infinite film. However for the finite size system, the boundary conditions should be taken into account. In a finite system with a vortex situated ...
Conceptual Physics
... head of the arrow shown on the right. Aim the bazooka and then press GO. Press RESET to try again. (And do not worry: We, too, value physics professors, so the professor will emerge unscathed.) This is an animated version of a classic physics problem and appears about halfway through a chapter of th ...
... head of the arrow shown on the right. Aim the bazooka and then press GO. Press RESET to try again. (And do not worry: We, too, value physics professors, so the professor will emerge unscathed.) This is an animated version of a classic physics problem and appears about halfway through a chapter of th ...
BSc (Hons) Physics - SC340 Optional Minor: Biology/Chemistry
... will be carried out at the end of the academic year, except Mathematical Techniques for Physicists I (PHY 1101(1)) and Maths for Physicists I (PHY 2101(3)) which will be examined at the end of semester 1. The corresponding follow-up modules Mathematical Techniques for Physicists II (PHY 1201(1)) and ...
... will be carried out at the end of the academic year, except Mathematical Techniques for Physicists I (PHY 1101(1)) and Maths for Physicists I (PHY 2101(3)) which will be examined at the end of semester 1. The corresponding follow-up modules Mathematical Techniques for Physicists II (PHY 1201(1)) and ...
Controlling electron quantum dot qubits by spin
... and linear Dresselhaus spin-orbit Hamiltonians. When considering phonons, we describe them as bulk plane waves, while including deformation and piezoelectric potentials of acoustic phonons for the electron-phonon interaction. The resonant oscillating electromagnetic fields are described as classical ...
... and linear Dresselhaus spin-orbit Hamiltonians. When considering phonons, we describe them as bulk plane waves, while including deformation and piezoelectric potentials of acoustic phonons for the electron-phonon interaction. The resonant oscillating electromagnetic fields are described as classical ...
PDF
... We have observed the formation of highly-ordered vortex lattices in a rotating Bose-condensed gas [6]. They were produced by rotating the condensate around its long axis using the optical dipole force exerted by a blue-detuned laser. A striking feature of the observed lattices is the extreme regular ...
... We have observed the formation of highly-ordered vortex lattices in a rotating Bose-condensed gas [6]. They were produced by rotating the condensate around its long axis using the optical dipole force exerted by a blue-detuned laser. A striking feature of the observed lattices is the extreme regular ...
the 5 international centre for theoretical physics SMR.1492 - 8
... n={v,k}, where v indicates the set of valence bands, and k is a wave vector belonging to the first Brillouin zone. The ground-state energy given by Eqs. (11) and (12) can be equivalently expressed in terms of the KohnSham eigenvalues: ...
... n={v,k}, where v indicates the set of valence bands, and k is a wave vector belonging to the first Brillouin zone. The ground-state energy given by Eqs. (11) and (12) can be equivalently expressed in terms of the KohnSham eigenvalues: ...
Flat spin-wave dispersion in a triangular antiferromagnet Oleg A. Starykh,
... To conclude, in this paper we used 1 / S expansion, extended it to S = 1 / 2, and obtained the renormalized magnon dispersion for a Heisenberg antiferromagnet on triangular lattice. We found that the renormalized dispersion is qualitatively different from the classical one—it is almost flat over a w ...
... To conclude, in this paper we used 1 / S expansion, extended it to S = 1 / 2, and obtained the renormalized magnon dispersion for a Heisenberg antiferromagnet on triangular lattice. We found that the renormalized dispersion is qualitatively different from the classical one—it is almost flat over a w ...
The physics behind chemistry, and the Periodic Table
... Typical ways of including relativity are the use of pseudopotentials or transformed, approximate Dirac Hamiltonians. Both can be calibrated against full-Dirac benchmarks. For some recent summaries on the methodology we quote Schwerdtfeger, 11,12 Hess, 13 Hirao and Ishikawa, 14 Dyall and Faegri, 15 G ...
... Typical ways of including relativity are the use of pseudopotentials or transformed, approximate Dirac Hamiltonians. Both can be calibrated against full-Dirac benchmarks. For some recent summaries on the methodology we quote Schwerdtfeger, 11,12 Hess, 13 Hirao and Ishikawa, 14 Dyall and Faegri, 15 G ...
Review Assessment: Lec 02 Quiz
... But suppose disk A is spinning slowly enough that sliding is not apparent. Suppose we do the experiment and it looks like B locks immediately onto A in such a manner that there is no obvious conversion of mechanical energy into thermal energy. By observation of the interaction, there may or may not ...
... But suppose disk A is spinning slowly enough that sliding is not apparent. Suppose we do the experiment and it looks like B locks immediately onto A in such a manner that there is no obvious conversion of mechanical energy into thermal energy. By observation of the interaction, there may or may not ...
Full observation of single-atom dynamics in cavity QED
... ∼ 10−8 Torr (inferred from the ion pump current). In order to bring the MOT as close as possible to the central axis of the physics cavity, we had to use a rather open (and nonmagnetic) mount design, leading to some compromises in the way of mechanical stability. As the cavity mount sits on the vibr ...
... ∼ 10−8 Torr (inferred from the ion pump current). In order to bring the MOT as close as possible to the central axis of the physics cavity, we had to use a rather open (and nonmagnetic) mount design, leading to some compromises in the way of mechanical stability. As the cavity mount sits on the vibr ...