Specular Reflection of Very Slow Metastable Neon Atoms from a
... by the evanescent light above a glass surface. There have been theoretical discussions on the quantum mechanical effect in various configurations [21–23]. However, to our knowledge, an experiment that shows a high reflectivity on a solid surface has not been reported due to the extremely low velocit ...
... by the evanescent light above a glass surface. There have been theoretical discussions on the quantum mechanical effect in various configurations [21–23]. However, to our knowledge, an experiment that shows a high reflectivity on a solid surface has not been reported due to the extremely low velocit ...
Paper
... density of 5 ⫻ 1010 atoms/cm3. Under these conditions, the peak atom-atom interaction energy was ⫽ kB ⫻ 33 pK, while the zero point energy of the harmonic trapping poten k ⫻ 24 pK. Condensates tial was (1/2)ប B released from the gravito-magnetic trap would expand with energies of this order and ...
... density of 5 ⫻ 1010 atoms/cm3. Under these conditions, the peak atom-atom interaction energy was ⫽ kB ⫻ 33 pK, while the zero point energy of the harmonic trapping poten k ⫻ 24 pK. Condensates tial was (1/2)ប B released from the gravito-magnetic trap would expand with energies of this order and ...
Problems Chapter 9
... An harmonic oscillator with mass m and frequency Ω is subjected to an external perturbation. Compute the first and second order corrections in perturbation theory to energy eigenvalues due to the following perturbations: ...
... An harmonic oscillator with mass m and frequency Ω is subjected to an external perturbation. Compute the first and second order corrections in perturbation theory to energy eigenvalues due to the following perturbations: ...
Quantum Magnetism
... You can easily calculate that the energy of the triplet state in this Hamiltonian is J/4, and that of the singlet state −3J/4. So the splitting is indeed J. Note that the sign of J in the H2 case is positive, meaning the S = 0 state is favored; the interaction is then said to be antiferromagnetic, m ...
... You can easily calculate that the energy of the triplet state in this Hamiltonian is J/4, and that of the singlet state −3J/4. So the splitting is indeed J. Note that the sign of J in the H2 case is positive, meaning the S = 0 state is favored; the interaction is then said to be antiferromagnetic, m ...
Car-Parrinello Molecular Dynamics
... Adiabicity is not built into the Car-Parrinello equations of motion. As pointed out by Remler and Madden “equipartion principle tells us that the average kinetic energies of all degrees of freedom in the classical system will be equal at equilibrium. The adiabatic state, in which the ficticious syst ...
... Adiabicity is not built into the Car-Parrinello equations of motion. As pointed out by Remler and Madden “equipartion principle tells us that the average kinetic energies of all degrees of freedom in the classical system will be equal at equilibrium. The adiabatic state, in which the ficticious syst ...
ppt
... “Erwin’s curve-tracing recipe won't work in more dimensions (e.g. 3N). When there are many curvatures, it is not clear how to partition the kinetic energy among the different (d2Y / dxi2) / Y contributions. ...
... “Erwin’s curve-tracing recipe won't work in more dimensions (e.g. 3N). When there are many curvatures, it is not clear how to partition the kinetic energy among the different (d2Y / dxi2) / Y contributions. ...
PDF
... vanishes when all the atoms are in a single state. Consider next a situation where the interaction time,τ , is fixed so that we are at the peak of the BSO envelope (which corresponds to a (π/2) pulse for the Rabi oscillation). We further assume that τ is long enough so that g0 (τ ) ≈ g0M . The exper ...
... vanishes when all the atoms are in a single state. Consider next a situation where the interaction time,τ , is fixed so that we are at the peak of the BSO envelope (which corresponds to a (π/2) pulse for the Rabi oscillation). We further assume that τ is long enough so that g0 (τ ) ≈ g0M . The exper ...
A Quantum Mechanical Model for Vibration and Rotation of Molecules
... Not necessarily the energies of individual atoms of the molecule. The ultimate goal is to find the (eigen) energies and the eigen functions (wavefunction) of the vibrational states of the diatomic by solving the Schrödinger equation; ...
... Not necessarily the energies of individual atoms of the molecule. The ultimate goal is to find the (eigen) energies and the eigen functions (wavefunction) of the vibrational states of the diatomic by solving the Schrödinger equation; ...
Magnetism of the Localized Electrons on the Atom
... The wave function % means that the probability of finding the electron in a small volume dV ar r is %*(r)%(r)dV. (%* is the complex conjugate of %). Eigenfunctions of the Schrödinger equation are of the form %(r,!,") = R(r)&(!)'("). ( The angular part &(!)'(") is written as Ylml(!,"). The spherical ...
... The wave function % means that the probability of finding the electron in a small volume dV ar r is %*(r)%(r)dV. (%* is the complex conjugate of %). Eigenfunctions of the Schrödinger equation are of the form %(r,!,") = R(r)&(!)'("). ( The angular part &(!)'(") is written as Ylml(!,"). The spherical ...
Quantum Mechanics Lecture 30 Dr. Mauro Ferreira
... Suppose that we want to find out the ground state for the one-dimensional harmonic oscillator ...
... Suppose that we want to find out the ground state for the one-dimensional harmonic oscillator ...
II sem P and SP
... charged particles in electric and magnetic fields: charged particles in uniform electric field, charged particles in homogerous magnetic fields, charged particles in simultaneous electric and magnetic fields, charged particles in nonhomogeneous magnetic fields. 6Hrs UNIT-III: Lienard-Wiechert potent ...
... charged particles in electric and magnetic fields: charged particles in uniform electric field, charged particles in homogerous magnetic fields, charged particles in simultaneous electric and magnetic fields, charged particles in nonhomogeneous magnetic fields. 6Hrs UNIT-III: Lienard-Wiechert potent ...
Sections 3 - Columbia Physics
... degeneracy of the first excited state? Write down explicit wave function considering spatial and spin state symmetry. (c) Now consider a simple electron-electron interaction of the form V (x1 , x2 ) = V0 δ(x1 − x2 ). Assuming V0 is small, find the correction for the ground state energy in (a) due to ...
... degeneracy of the first excited state? Write down explicit wave function considering spatial and spin state symmetry. (c) Now consider a simple electron-electron interaction of the form V (x1 , x2 ) = V0 δ(x1 − x2 ). Assuming V0 is small, find the correction for the ground state energy in (a) due to ...
chapter 13 - University of Michigan
... are shown in red, those of the excited state, in blue. The rotational levels for v = 0 are also shown. Every electronic transition in a molecule is accompanied by changes in vibrational and rotational states. Generally, in the liquid state, individual vibrational transitions are not resolved, so tha ...
... are shown in red, those of the excited state, in blue. The rotational levels for v = 0 are also shown. Every electronic transition in a molecule is accompanied by changes in vibrational and rotational states. Generally, in the liquid state, individual vibrational transitions are not resolved, so tha ...
density functional theory
... Nowadays computers have become an integral part in the world of science, especially when it comes to calculatory problems. For problems which cannot be solved analytically, computers and numerical methods are of crucial importance. The eld of computational chemistry deals for instance with the calc ...
... Nowadays computers have become an integral part in the world of science, especially when it comes to calculatory problems. For problems which cannot be solved analytically, computers and numerical methods are of crucial importance. The eld of computational chemistry deals for instance with the calc ...
Million-Atom Pseudopotential Calculation of GX Mixing in GaAs AlAs
... by the coupling matrix element VGX . Although small in magnitude (VGX , 10 meV ), the G-X coupling has profound consequences on the properties of the system, leading, for example, to the appearance of indirect transitions without phonon intervention [7,8], to characteristic pressure-induced changes ...
... by the coupling matrix element VGX . Although small in magnitude (VGX , 10 meV ), the G-X coupling has profound consequences on the properties of the system, leading, for example, to the appearance of indirect transitions without phonon intervention [7,8], to characteristic pressure-induced changes ...
Quantum eraser
... Now, is it possible to ”erase” the which path data from the system and reinstate our interference pattern? Let us examine a simple information erasing scheme by modeling our system with qubits. Say we have a 2 slit apparatus in which we can mark the path the particle takes using qubits A and B each ...
... Now, is it possible to ”erase” the which path data from the system and reinstate our interference pattern? Let us examine a simple information erasing scheme by modeling our system with qubits. Say we have a 2 slit apparatus in which we can mark the path the particle takes using qubits A and B each ...