Problems
... Believe it or not, coating glass with metal to make make a mirror was a big technological breakthrough back in the time 1 . In this problem, we answer why metals are shiny - why they reflect most of the visible light incident on them. Not surprisingly, this has to do with the conduction electrons in ...
... Believe it or not, coating glass with metal to make make a mirror was a big technological breakthrough back in the time 1 . In this problem, we answer why metals are shiny - why they reflect most of the visible light incident on them. Not surprisingly, this has to do with the conduction electrons in ...
Low-Energy Excitations and Ground State Selection in Quantum
... The ground state of Ba3 Yb2 Zn5 O11 is, therefore, not a solution of the spin Hamiltonian in Eq. (1) but a non-trivial quantum state. The possible perturbations for lifting this degeneracy should be discussed; one possibility is that there is an interaction between spin tetrahedra, although this is ...
... The ground state of Ba3 Yb2 Zn5 O11 is, therefore, not a solution of the spin Hamiltonian in Eq. (1) but a non-trivial quantum state. The possible perturbations for lifting this degeneracy should be discussed; one possibility is that there is an interaction between spin tetrahedra, although this is ...
A family of spin-S chain representations of SU(2) k Wess
... chains and phase transitions in two-dimensional spacetime [2–4]. In particular, it has provided a platform to distinguish different universality classes of critical spin chains according to e.g. the power law parameters of multi-point spin correlation functions. Moreover, the central charge paramete ...
... chains and phase transitions in two-dimensional spacetime [2–4]. In particular, it has provided a platform to distinguish different universality classes of critical spin chains according to e.g. the power law parameters of multi-point spin correlation functions. Moreover, the central charge paramete ...
Driven Bose-Hubbard model with a parametrically modulated
... the onset of the instability can be used to determine the atom interaction strength. To illustrate the mechanism, we investigate the parametrically driven Bose–Hubbard model with repulsive interaction in two regimes. First, we consider the regime of weakly interacting atoms in the lattice in the pre ...
... the onset of the instability can be used to determine the atom interaction strength. To illustrate the mechanism, we investigate the parametrically driven Bose–Hubbard model with repulsive interaction in two regimes. First, we consider the regime of weakly interacting atoms in the lattice in the pre ...
Symbols “R” Us: Seismic Imaging, One-Way Wave Equations, Pseudodifferential
... approach are to (1) exploit well-posed, one-way marching methods in inherently twoway global problems, (2) exploit the correspondences between classical wave propagation, quantum physics, and microlocal analysis (modern mathematical asymptotics), and (3) extend Fourier analysis to inhomogeneous envi ...
... approach are to (1) exploit well-posed, one-way marching methods in inherently twoway global problems, (2) exploit the correspondences between classical wave propagation, quantum physics, and microlocal analysis (modern mathematical asymptotics), and (3) extend Fourier analysis to inhomogeneous envi ...
Document
... them • But before we can study the basic physics of the matter-energy interactions, we must first have some general idea to differentiate between the two different modes of physical existence: matter and wave • This is the main purpose of this lecture ...
... them • But before we can study the basic physics of the matter-energy interactions, we must first have some general idea to differentiate between the two different modes of physical existence: matter and wave • This is the main purpose of this lecture ...
Introduction and finite square well
... Then try clicking at a few well-spaced energies within the potential well. On doing so, you will see that the computer draws curves of various shapes. The question now is which, if any, of these are eigenfunctions for this potential well? The key is in the nature of the curve for large positive valu ...
... Then try clicking at a few well-spaced energies within the potential well. On doing so, you will see that the computer draws curves of various shapes. The question now is which, if any, of these are eigenfunctions for this potential well? The key is in the nature of the curve for large positive valu ...
The Schrödinger Wave Equation
... when both slits are open, we do not see the sum of these two diffraction patterns (P1 + P2 ) but rather the characteristic interference pattern P12 . If we place a light source behind the slits as shown in Figure 12.9, we might hope that, because of the light scattering by the electron, we could det ...
... when both slits are open, we do not see the sum of these two diffraction patterns (P1 + P2 ) but rather the characteristic interference pattern P12 . If we place a light source behind the slits as shown in Figure 12.9, we might hope that, because of the light scattering by the electron, we could det ...
Measuring the quantum mechanical wave function
... This ability to extract 2-D, or joint, probabilities pertaining to a pair of random variables from measurements only of individual random variables is quite nice and can be applied to data similarly measured for a stream of quantum particles. These could be atoms emitted from a `hot-oven’ source. Yo ...
... This ability to extract 2-D, or joint, probabilities pertaining to a pair of random variables from measurements only of individual random variables is quite nice and can be applied to data similarly measured for a stream of quantum particles. These could be atoms emitted from a `hot-oven’ source. Yo ...
Electron dynamics in quantum dots on helium surface M.I. Dykman
... that, even though the energy spectrum of a set of dots is band-like, the typical energy that has to be transferred to helium excitations is ∼ Ẽ ∼ ˝!c . For ! !c this is a much bigger energy than in the absence of a magnetic -eld. Therefore we expect that a magnetic -eld can signi-cantly reduce t ...
... that, even though the energy spectrum of a set of dots is band-like, the typical energy that has to be transferred to helium excitations is ∼ Ẽ ∼ ˝!c . For ! !c this is a much bigger energy than in the absence of a magnetic -eld. Therefore we expect that a magnetic -eld can signi-cantly reduce t ...
Edge excitations and topological order in a rotating Bose gas
... states with filling fractions = 32 and = 43 of the principal Jain sequence. At even lower angular momentum, we study the edge properties of the state identified1 as the finite-sized Moore-Read 共or Pfaffian兲 state13 共 = 1兲. We observe a number of anomalies that persist up to the largest sizes st ...
... states with filling fractions = 32 and = 43 of the principal Jain sequence. At even lower angular momentum, we study the edge properties of the state identified1 as the finite-sized Moore-Read 共or Pfaffian兲 state13 共 = 1兲. We observe a number of anomalies that persist up to the largest sizes st ...
PDF
... This signal contains information of both the amplitude and the phase of the field B(t). The second term of Eq. 3 is related to the Bloch-Siegert shift [7,8] and we have called it the Bloch-Siegert oscillation (BSO) [2,3]. It is attributable to an interference between the so-called co- and counter-ro ...
... This signal contains information of both the amplitude and the phase of the field B(t). The second term of Eq. 3 is related to the Bloch-Siegert shift [7,8] and we have called it the Bloch-Siegert oscillation (BSO) [2,3]. It is attributable to an interference between the so-called co- and counter-ro ...
A model of interacting partons for hadronic structure functions
... interacting with each other through a linear potential in the ‘null’ coordinate. Their momenta transverse to the direction of the collision will be ignored in favour of the much larger longitudinal momentum. That collinear QCD can describe hadronic structure functions has also been proposed by other ...
... interacting with each other through a linear potential in the ‘null’ coordinate. Their momenta transverse to the direction of the collision will be ignored in favour of the much larger longitudinal momentum. That collinear QCD can describe hadronic structure functions has also been proposed by other ...
Euclidean Field Theory - Department of Mathematical Sciences
... Although we have quickly stepped over the relation between the path integral and the quantum mechanical transition amplitude, a crucial ingredient in the derivation of that relation is a proper definition of the path integral measure. The infinitedimensional integral is only well-defined if we regul ...
... Although we have quickly stepped over the relation between the path integral and the quantum mechanical transition amplitude, a crucial ingredient in the derivation of that relation is a proper definition of the path integral measure. The infinitedimensional integral is only well-defined if we regul ...
Erwin Schroedinger gained inspiration
... are called excited states. In the ground state, the electrons (and therefore the atoms) have the least amount of energy they can possibly have. Above the ground state are a series of discrete allowed energy levels for the electrons. When an atom is excited, the electrons absorb the amount of energy ...
... are called excited states. In the ground state, the electrons (and therefore the atoms) have the least amount of energy they can possibly have. Above the ground state are a series of discrete allowed energy levels for the electrons. When an atom is excited, the electrons absorb the amount of energy ...
Magnetoresistance.
... The coexistence of the quantum Hall effect and the Hall effect occurs in GaAsGa1-xAlxAs heterojunctions at 1.1 K.16 ...
... The coexistence of the quantum Hall effect and the Hall effect occurs in GaAsGa1-xAlxAs heterojunctions at 1.1 K.16 ...