Path integral for the quantum harmonic oscillator using elementary
... method of calculating the Feynman path integral for the prefactor of the propagator of the quantum harmonic oscillator. The motivation for their work was ‘‘to introduce a formulation of quantum mechanics which is usually considered beyond the scope of most undergraduate courses.’’ We agree with thes ...
... method of calculating the Feynman path integral for the prefactor of the propagator of the quantum harmonic oscillator. The motivation for their work was ‘‘to introduce a formulation of quantum mechanics which is usually considered beyond the scope of most undergraduate courses.’’ We agree with thes ...
How far are we from the quantum theory of gravity?
... theory. When a path integral is involved it should be fully defined in terms of a well defined measure, or else expressed as a discrete summation. This led in each case to two lists, the first of results, the second of conjectures and open issues. These are summarized in Table 1, which indicates th ...
... theory. When a path integral is involved it should be fully defined in terms of a well defined measure, or else expressed as a discrete summation. This led in each case to two lists, the first of results, the second of conjectures and open issues. These are summarized in Table 1, which indicates th ...
Geometric phases in quantum systems of pure and mixed state
... Since the discovery of the geometric phase by Berry [10], it has played an essential role in the study of many quantum mechanical phenomena. An example of this is the characterization of the transversal conductivity σxx in the quantum Hall effect, by means of the integral of the Berry curvature ove ...
... Since the discovery of the geometric phase by Berry [10], it has played an essential role in the study of many quantum mechanical phenomena. An example of this is the characterization of the transversal conductivity σxx in the quantum Hall effect, by means of the integral of the Berry curvature ove ...
Mean-field theory of the Kondo effect in quantum dots with... Mikio Eto and Yuli V. Nazarov
... ⰇT K . 25 They have considered ‘‘lateral’’ quantum dots with an even N, when the ground state is a spin singlet and the first excited state is a triplet (⌬⬍0). By applying a quite large magnetic field parallel to the dots, the Zeeman effect reduces the energy of one component of the triplet state, 兩 ...
... ⰇT K . 25 They have considered ‘‘lateral’’ quantum dots with an even N, when the ground state is a spin singlet and the first excited state is a triplet (⌬⬍0). By applying a quite large magnetic field parallel to the dots, the Zeeman effect reduces the energy of one component of the triplet state, 兩 ...
An algorithmic construction of entropies in higher-order
... The analysis of nonlinear evolution equations arising from applications relies on appropriate a priori estimates of the solutions. Often, the physical energy or entropy of the underlying physical system proves to be a conserved or at least a non-increasing quantity with respect to time. However, add ...
... The analysis of nonlinear evolution equations arising from applications relies on appropriate a priori estimates of the solutions. Often, the physical energy or entropy of the underlying physical system proves to be a conserved or at least a non-increasing quantity with respect to time. However, add ...
Models of wave-function collapse
... linear: if ψ1 and ψ2 are two solutions of Eq. (5) then the linear superposition c1 ψ1 + c2 ψ2 is also a solution, where c1 and c2 are complex coefficients. On the other hand, the Hamilton-Jacobi equation (1) is nonlinear: if S1 is a solution corresponding to one space-time trajectory, and S2 is a so ...
... linear: if ψ1 and ψ2 are two solutions of Eq. (5) then the linear superposition c1 ψ1 + c2 ψ2 is also a solution, where c1 and c2 are complex coefficients. On the other hand, the Hamilton-Jacobi equation (1) is nonlinear: if S1 is a solution corresponding to one space-time trajectory, and S2 is a so ...
Document
... A. The transmission coefficient through the barrier depends on E, V and a B. The transmission coefficient increases when a decreases for a given E and V C. The transmission coefficient increases when V decreases for a given E and a D. The transmission coefficient increases when E decreases for a giv ...
... A. The transmission coefficient through the barrier depends on E, V and a B. The transmission coefficient increases when a decreases for a given E and V C. The transmission coefficient increases when V decreases for a given E and a D. The transmission coefficient increases when E decreases for a giv ...
B.Sc. (H) PHYSICS THREE-YEAR FULL-TIME PROGRAMME (Six-Semester Course)
... Estimation of Glucose, Saponification Value or Iodine Value of a fat or oil. ...
... Estimation of Glucose, Saponification Value or Iodine Value of a fat or oil. ...
On-Shell Methods in Perturbative QCD
... • In this talk analytic on-shell methods: spinors, twistors, unitarity method, on-shell bootstrap approach. Bern, Dixon, Dunbar, Kosower; Bern and Morgan; Cachazo, Svrcek and Witten; Bern, Dixon, Kosower; Bedford, Brandhuber, Spence, Travaglini; Britto, Cachazo, Feng and Witten; Berger, Bern, Dixon, ...
... • In this talk analytic on-shell methods: spinors, twistors, unitarity method, on-shell bootstrap approach. Bern, Dixon, Dunbar, Kosower; Bern and Morgan; Cachazo, Svrcek and Witten; Bern, Dixon, Kosower; Bedford, Brandhuber, Spence, Travaglini; Britto, Cachazo, Feng and Witten; Berger, Bern, Dixon, ...
Tunneling Times and Superluminality: a Tutorial
... photons in a Hong-Ou-Mandel interferometer, in order to achieve coincidence detection. We found that the photon transit time through the barrier was smaller than the twin photon’s transit time through an equal distance in vacuum, indicating that the process of tunneling in quantum mechanics is super ...
... photons in a Hong-Ou-Mandel interferometer, in order to achieve coincidence detection. We found that the photon transit time through the barrier was smaller than the twin photon’s transit time through an equal distance in vacuum, indicating that the process of tunneling in quantum mechanics is super ...
Eigenstate Phase Transitions
... is the eigenstate phase transition within the ferromagnetic phase of an infinite-range spin model. By studying the interplay of the eigenstate thermalization hypothesis and Ising symmetry breaking, we find two eigenstate phase transitions within the ferromagnetic phase: In the lowest-temperature pha ...
... is the eigenstate phase transition within the ferromagnetic phase of an infinite-range spin model. By studying the interplay of the eigenstate thermalization hypothesis and Ising symmetry breaking, we find two eigenstate phase transitions within the ferromagnetic phase: In the lowest-temperature pha ...
Diamagnetism and flux creep in bilayer exciton superfluids P. R. Eastham,
... We now consider the response of the disordered system to an in-plane field at zero temperature. We will see that the disordered system has a different diamagnetic response from the clean system. It does not have a commensurateincommensurate transition controlled by an intrinsic length scale λJ [see ...
... We now consider the response of the disordered system to an in-plane field at zero temperature. We will see that the disordered system has a different diamagnetic response from the clean system. It does not have a commensurateincommensurate transition controlled by an intrinsic length scale λJ [see ...
Time-dependent density equation and perturbation th
... with n 2. Here, the density equation is de®ned using W explicitly, but our purpose is to solve the density equation not in the W-space but for the set of the density matrices. For this purpose, we have to transform the energy density matrix G n such that it depends only on the density matrix, sin ...
... with n 2. Here, the density equation is de®ned using W explicitly, but our purpose is to solve the density equation not in the W-space but for the set of the density matrices. For this purpose, we have to transform the energy density matrix G n such that it depends only on the density matrix, sin ...
How Quantum Theory Helps us Explain - u.arizona.edu
... masses nor to the forces acting on them. First one uses the terminology of Newton’s theory to represent a planet as composed of a vast number of massive particles, each acted on by the gravitational force exerted by all the particles composing a much more massive sun. Then one constructs a class of ...
... masses nor to the forces acting on them. First one uses the terminology of Newton’s theory to represent a planet as composed of a vast number of massive particles, each acted on by the gravitational force exerted by all the particles composing a much more massive sun. Then one constructs a class of ...
Conformal Bootstrap Approach to O(N) Fixed Points in Five
... for theories that admit large N expansion. In particular, for theories with O(N ) global symmetry, perturbative approach based on combined 1/N - and -expansions [14], [15] found positive indication for nontrivial ultraviolet fixed points. The result is very interesting and calls us for a better app ...
... for theories that admit large N expansion. In particular, for theories with O(N ) global symmetry, perturbative approach based on combined 1/N - and -expansions [14], [15] found positive indication for nontrivial ultraviolet fixed points. The result is very interesting and calls us for a better app ...
Tunneling
... equations are tedious and generally too complicated to be useful. A simplification is possible where L In these cases the wide barrier approximates to the infinitely wide barrier. This leads to the approximation ...
... equations are tedious and generally too complicated to be useful. A simplification is possible where L In these cases the wide barrier approximates to the infinitely wide barrier. This leads to the approximation ...
Pedestrian notes on quantum mechanics
... other hand, negative diffusivity is more natural and one may encounter it in multicomponent systems, implying local increase in the energy of the system as discussed by Ghez [28]. Let us consider a one-dimensional Schrödinger p2 ...
... other hand, negative diffusivity is more natural and one may encounter it in multicomponent systems, implying local increase in the energy of the system as discussed by Ghez [28]. Let us consider a one-dimensional Schrödinger p2 ...
Non-Equilibrium Liouville and Wigner Equations: Moment Methods
... allowing for certain dynamical selection of the canonical equilibrium distribution, out of the set of all stationary distributions, at least partially and/or approximately? If so, in what sense? If (a) has some positive (even if partial) answer: (b) could it be extended to non-equilibrium closed cla ...
... allowing for certain dynamical selection of the canonical equilibrium distribution, out of the set of all stationary distributions, at least partially and/or approximately? If so, in what sense? If (a) has some positive (even if partial) answer: (b) could it be extended to non-equilibrium closed cla ...
pdf
... The advantage of the symplectic/Hamiltonian viewpoint is that we make use of the arsenal of tools for Hamiltonian systems; see e.g., Abraham and Marsden [1] and Marsden and Ratiu [21]. Most notably, symmetry and conservation laws in Hamiltonian systems are linked via Noether’s theorem: Practically s ...
... The advantage of the symplectic/Hamiltonian viewpoint is that we make use of the arsenal of tools for Hamiltonian systems; see e.g., Abraham and Marsden [1] and Marsden and Ratiu [21]. Most notably, symmetry and conservation laws in Hamiltonian systems are linked via Noether’s theorem: Practically s ...