Phys. Rev. Lett. 104, 043002 (2010)
... to the regime of multiple Rydberg atoms, such excitation crystals provide a suitable initial state to realize quantum random walks [17]. We show that the crystalline correlations can be mapped onto a propagating light beam and be detected via photon correlation measurements as a pulse train of singl ...
... to the regime of multiple Rydberg atoms, such excitation crystals provide a suitable initial state to realize quantum random walks [17]. We show that the crystalline correlations can be mapped onto a propagating light beam and be detected via photon correlation measurements as a pulse train of singl ...
Nonlinear Susceptibilities of Donor
... calculate the static as well as the dynamic polarizabilities. The sum-over-states (SOS) procedure has been widely used as well, in particular for identifying the excited states which dominate the resonant r e s p o n ~ e . ~ *Electron ~ ~ ~ , ' ~correlation effects may be incorporated into the state ...
... calculate the static as well as the dynamic polarizabilities. The sum-over-states (SOS) procedure has been widely used as well, in particular for identifying the excited states which dominate the resonant r e s p o n ~ e . ~ *Electron ~ ~ ~ , ' ~correlation effects may be incorporated into the state ...
time-dependent density functional theoretical - Prof. Shih
... In recent years, the density-functional theory (DFT) has become a widely used formalism for electron structure calculations of atoms, molecules, and solids [1–5]. The DFT is based on the earlier fundamental work of Hohenberg and Kohn [6] and Kohn and Sham [7]. In the Kohn-Sham DFT formalism [7], the ...
... In recent years, the density-functional theory (DFT) has become a widely used formalism for electron structure calculations of atoms, molecules, and solids [1–5]. The DFT is based on the earlier fundamental work of Hohenberg and Kohn [6] and Kohn and Sham [7]. In the Kohn-Sham DFT formalism [7], the ...
Chemistry Lecture *34". Ionic. Compounds I-P one atom trans
... the periodic chart. We know that groups IA-3A have values oP -H +2-, and +3. We know that that groups 5"A-TA have values o-P -3, -2-, and -I. Most o£ the transition elements have two or more oxidation numbers. For example, Fe can exist as Fez+ or There are a -Pew transition elements that have only o ...
... the periodic chart. We know that groups IA-3A have values oP -H +2-, and +3. We know that that groups 5"A-TA have values o-P -3, -2-, and -I. Most o£ the transition elements have two or more oxidation numbers. For example, Fe can exist as Fez+ or There are a -Pew transition elements that have only o ...
5.3 Atomic Emission Spectra and the Quantum Mechanical Model
... • The energy absorbed by an electron for it to move from its current energy level to a higher energy level is identical to the energy of the light emitted by the electron as it drops back to its original energy level. • The wavelengths of the spectral lines are characteristic of the element, and the ...
... • The energy absorbed by an electron for it to move from its current energy level to a higher energy level is identical to the energy of the light emitted by the electron as it drops back to its original energy level. • The wavelengths of the spectral lines are characteristic of the element, and the ...
Quantum transport of ultracold atoms in an
... low-lying bands is suppressed, and particle motion is dominated by single-well dynamics. Near the bottom of the well, the harmonic approximation is valid, further simplifying the analysis. This same band structure can also be displayed in the reciprocal lattice, as shown in Fig. 2. This plot is a di ...
... low-lying bands is suppressed, and particle motion is dominated by single-well dynamics. Near the bottom of the well, the harmonic approximation is valid, further simplifying the analysis. This same band structure can also be displayed in the reciprocal lattice, as shown in Fig. 2. This plot is a di ...
Cathodoluminescence in the scanning transmission electron
... in detail in this review. (a). Plasmons emission arises from the deexcitation of plasmonic waves, which are essentially charge density waves. The figure shows the surface charge distribution for a triangular prism for one of the degenerate dipolar modes and for the hexapolar mode. After [3], reprinte ...
... in detail in this review. (a). Plasmons emission arises from the deexcitation of plasmonic waves, which are essentially charge density waves. The figure shows the surface charge distribution for a triangular prism for one of the degenerate dipolar modes and for the hexapolar mode. After [3], reprinte ...
Entropy and Entanglement of Moving Two Atoms in a Squeezed
... ν πt 1 − cos , the results are L reported us through von Neumann entropy measurement that the atoms-field entanglement takes a chaotic behavior, appearance for every periodic interval ...
... ν πt 1 − cos , the results are L reported us through von Neumann entropy measurement that the atoms-field entanglement takes a chaotic behavior, appearance for every periodic interval ...
The Wave Function
... momenta p − ∆p to p + ∆p. We can say then say that the particle is likely to be found somewhere in the region 2∆x, and given that wave functions representing a range of possible momenta were used to form this wave packet, we could also say that the momentum of the particle will have a value in the r ...
... momenta p − ∆p to p + ∆p. We can say then say that the particle is likely to be found somewhere in the region 2∆x, and given that wave functions representing a range of possible momenta were used to form this wave packet, we could also say that the momentum of the particle will have a value in the r ...
Document
... • This approach is called the independent particle approximation, or IPA. • This approximation allows the Schrödinger equation for the atom to be broken into Z separate equations, one for each electron. • A major consequence of the IPA is that each electron can be described by a wave function hav ...
... • This approach is called the independent particle approximation, or IPA. • This approximation allows the Schrödinger equation for the atom to be broken into Z separate equations, one for each electron. • A major consequence of the IPA is that each electron can be described by a wave function hav ...
Direct Observation of Second Order Atom
... the states 2,0 and 1,1 is much larger than the coupling, resulting in a strong detuning and therefore suppressed transitions between these states. For an unbiased junction (!=0), the state 0,2 , however, always has the same energy as 2,0 . The direct transition to this state, which corresponds to th ...
... the states 2,0 and 1,1 is much larger than the coupling, resulting in a strong detuning and therefore suppressed transitions between these states. For an unbiased junction (!=0), the state 0,2 , however, always has the same energy as 2,0 . The direct transition to this state, which corresponds to th ...
Paper
... Further cooling was accomplished by adiabatically decompressing the trapping potential in two 5 s stages, with a 5 s delay in between to allow excitations to damp. In the first stage, the vertical frequency was reduced to z ⫽ 2 ⫻ (1.81 ⫾ 0.05) Hz by simultaneously raising currents IL and IU by ide ...
... Further cooling was accomplished by adiabatically decompressing the trapping potential in two 5 s stages, with a 5 s delay in between to allow excitations to damp. In the first stage, the vertical frequency was reduced to z ⫽ 2 ⫻ (1.81 ⫾ 0.05) Hz by simultaneously raising currents IL and IU by ide ...
An Efficient Real–Space Configuration–Interaction Method for
... residing mostly “between” solvent molecules, so–called solvent–supported states. Thus, to study multi–electron systems without biasing the problem, our choice of the one–electron basis must be able to describe both solvent–supported and on–molecule states. The most straightforward choice of basis, a ...
... residing mostly “between” solvent molecules, so–called solvent–supported states. Thus, to study multi–electron systems without biasing the problem, our choice of the one–electron basis must be able to describe both solvent–supported and on–molecule states. The most straightforward choice of basis, a ...
Wednesday, Aug. 30, 2006
... Rutherford Scattering with EM Force 1 • Let’s take into account only the EM force between the a and the atom • Coulomb force is a central force, so a conservative force • Coulomb potential between particles with Ze and Z’e electrical charge separated by distance r is ...
... Rutherford Scattering with EM Force 1 • Let’s take into account only the EM force between the a and the atom • Coulomb force is a central force, so a conservative force • Coulomb potential between particles with Ze and Z’e electrical charge separated by distance r is ...
Atomic orbital
An atomic orbital is a mathematical function that describes the wave-like behavior of either one electron or a pair of electrons in an atom. This function can be used to calculate the probability of finding any electron of an atom in any specific region around the atom's nucleus. The term may also refer to the physical region or space where the electron can be calculated to be present, as defined by the particular mathematical form of the orbital.Each orbital in an atom is characterized by a unique set of values of the three quantum numbers n, ℓ, and m, which respectively correspond to the electron's energy, angular momentum, and an angular momentum vector component (the magnetic quantum number). Any orbital can be occupied by a maximum of two electrons, each with its own spin quantum number. The simple names s orbital, p orbital, d orbital and f orbital refer to orbitals with angular momentum quantum number ℓ = 0, 1, 2 and 3 respectively. These names, together with the value of n, are used to describe the electron configurations of atoms. They are derived from the description by early spectroscopists of certain series of alkali metal spectroscopic lines as sharp, principal, diffuse, and fundamental. Orbitals for ℓ > 3 continue alphabetically, omitting j (g, h, i, k, …).Atomic orbitals are the basic building blocks of the atomic orbital model (alternatively known as the electron cloud or wave mechanics model), a modern framework for visualizing the submicroscopic behavior of electrons in matter. In this model the electron cloud of a multi-electron atom may be seen as being built up (in approximation) in an electron configuration that is a product of simpler hydrogen-like atomic orbitals. The repeating periodicity of the blocks of 2, 6, 10, and 14 elements within sections of the periodic table arises naturally from the total number of electrons that occupy a complete set of s, p, d and f atomic orbitals, respectively.