Interference of Bose#Einstein Condensates†
... irrespective of the nature of the basis functions φi(r, t), since 〈Ψ0|â†RâL|Ψ0〉 and 〈Ψ0|â†LâR|Ψ0〉 vanishes for states |Ψ0〉, which are a product form such as that in eq 5. This completes the proof. In contrast, for an initial state given by a product of coherent states ...
... irrespective of the nature of the basis functions φi(r, t), since 〈Ψ0|â†RâL|Ψ0〉 and 〈Ψ0|â†LâR|Ψ0〉 vanishes for states |Ψ0〉, which are a product form such as that in eq 5. This completes the proof. In contrast, for an initial state given by a product of coherent states ...
CHEM 101 Fall 09 Final Exam (a)
... 12. What is the frequency (s-1) of a photon that has an energy of 4.38 × 10-18 J? a. 436 b. 6.61 × 1015 c. 1.45 × 10-16 d. 2.30 × 107 e. 1.31 × 10-9 13. Which answer shows all possible values of the second quantum number when n = 3? a. l = 0 b. l = 0, 1 c. l = 0, 1, 2 d. l = 0, 1, 2, 3 e. l = 0, 1, ...
... 12. What is the frequency (s-1) of a photon that has an energy of 4.38 × 10-18 J? a. 436 b. 6.61 × 1015 c. 1.45 × 10-16 d. 2.30 × 107 e. 1.31 × 10-9 13. Which answer shows all possible values of the second quantum number when n = 3? a. l = 0 b. l = 0, 1 c. l = 0, 1, 2 d. l = 0, 1, 2, 3 e. l = 0, 1, ...
Lecture I: Synthetic Spin-Orbit Coupling for Ultracold Atoms and
... 2. S.-L. Zhu, H. Fu, C.-J. Wu, S.-C. Zhang, and L.-M. Duan, Phys. Rev. Lett. 97, 240401 (2006). Non-Abelian gauge potentials/spin-orbit couplings: 1. K. Osterloh, M. Baig, L. Santos, P. Zoller, M. Lewenstein, Phys. Rev. Lett. 95, 010403 (2005). 2. J. Ruseckas, G. Juzeliunas, P. Ohberg, and M. Fleisc ...
... 2. S.-L. Zhu, H. Fu, C.-J. Wu, S.-C. Zhang, and L.-M. Duan, Phys. Rev. Lett. 97, 240401 (2006). Non-Abelian gauge potentials/spin-orbit couplings: 1. K. Osterloh, M. Baig, L. Santos, P. Zoller, M. Lewenstein, Phys. Rev. Lett. 95, 010403 (2005). 2. J. Ruseckas, G. Juzeliunas, P. Ohberg, and M. Fleisc ...
Singlet-triplet spin blockade and charge sensing in a few
... Great progress has been made in engineering solid-state systems that exhibit quantum effects, providing tools for probing fundamental problems in many-body physics as well as device technologies. In semiconductor quantum dots, small numbers of confined electrons can be manipulated using electrostati ...
... Great progress has been made in engineering solid-state systems that exhibit quantum effects, providing tools for probing fundamental problems in many-body physics as well as device technologies. In semiconductor quantum dots, small numbers of confined electrons can be manipulated using electrostati ...
Quantum Computing with Quantum Dots
... affecting some of the material’s properties, by varying the size of the quantum dot. This effect is most spectacularly seen in the rainbow of colors that can be produced in colloidal CdSe quantum dots by varying their sizes (Figure 1). Typically the diameter of a quantum dot (D), and thus the level ...
... affecting some of the material’s properties, by varying the size of the quantum dot. This effect is most spectacularly seen in the rainbow of colors that can be produced in colloidal CdSe quantum dots by varying their sizes (Figure 1). Typically the diameter of a quantum dot (D), and thus the level ...
Quantum computing implementations with neutral
... former, such a scheme employs molecular ensembles to store the quantum information, whereas the superconducting solid-state circuit is utilized for processing it. This quantum hardware paradigm brings the best features of the atomic, molecular, and solid-state systems together: the excellent coheren ...
... former, such a scheme employs molecular ensembles to store the quantum information, whereas the superconducting solid-state circuit is utilized for processing it. This quantum hardware paradigm brings the best features of the atomic, molecular, and solid-state systems together: the excellent coheren ...
Quantum Entanglement and Information Quantifier for Correlated
... It is well known that, the correlation between quantum entanglement and Fisher information (FI), as we know about a certain parameter in a quantum state, has not been studied widely. However, there are some studies to quantify the pure state entanglement by using FI. In this regard, the entanglement ...
... It is well known that, the correlation between quantum entanglement and Fisher information (FI), as we know about a certain parameter in a quantum state, has not been studied widely. However, there are some studies to quantify the pure state entanglement by using FI. In this regard, the entanglement ...
3. Angular Momentum States.
... r, from the axis of rotation, and in the other case the center of mass is at a distance, r, from the axis of rotation. Quantum Electron Spin Angular Momentum The results of classical angular momentum provide a clear physical model for representation of orbital and spin angular momentum in terms of ...
... r, from the axis of rotation, and in the other case the center of mass is at a distance, r, from the axis of rotation. Quantum Electron Spin Angular Momentum The results of classical angular momentum provide a clear physical model for representation of orbital and spin angular momentum in terms of ...
Photo-Ionization of Noble Gases: A Demonstration of Hybrid
... was used to compute two, three and four photon ionization cross-sections of helium. However, in [8] it has been shown that even in the “perturbative” regime, resonances in helium can lead to non-perturbative effects in photo-ionization, pointing to the limits of applicability of multi-photon perturb ...
... was used to compute two, three and four photon ionization cross-sections of helium. However, in [8] it has been shown that even in the “perturbative” regime, resonances in helium can lead to non-perturbative effects in photo-ionization, pointing to the limits of applicability of multi-photon perturb ...
The use of spin-pure and non-orthogonal Hilbert spaces in Full
... known, and the difficulty is only in that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed. The most commonly used models, in particular Hartr ...
... known, and the difficulty is only in that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed. The most commonly used models, in particular Hartr ...
Two-Dimensional Schrodinger Scattering and Electron Transport in Graphene
... at least, two-dimensional graphite has been studied since the late 1940s and is widely used for describing properties of various carbon-based materials. An interesting property of Graphene is that the charge carriers are relativistic. Even though they are not actually travelling at relativistic spee ...
... at least, two-dimensional graphite has been studied since the late 1940s and is widely used for describing properties of various carbon-based materials. An interesting property of Graphene is that the charge carriers are relativistic. Even though they are not actually travelling at relativistic spee ...
Implications of the two nodal domains conjecture for ground state
... implementation, however, almost always relies on the KohnSham formulation,21 where a system of N noninteracting particles in a fictitious potential is introduced and whose exact ground state wave function is a single Slater determinant whose density is, by construction, equal to the density of the re ...
... implementation, however, almost always relies on the KohnSham formulation,21 where a system of N noninteracting particles in a fictitious potential is introduced and whose exact ground state wave function is a single Slater determinant whose density is, by construction, equal to the density of the re ...
Critical thoughts on computing atom condensed Fukui functions Bultinck and Stijn Fias
... view that molecules consist of atoms held together by chemical bonds. Many aspects of chemical reactivity are often traced back to the atoms and the bonds that compose the molecule, as this language facilitates constructing predictive models that only require information about the composition of a r ...
... view that molecules consist of atoms held together by chemical bonds. Many aspects of chemical reactivity are often traced back to the atoms and the bonds that compose the molecule, as this language facilitates constructing predictive models that only require information about the composition of a r ...
Closed-orbit theory for photodetachment in a time-dependent electric field Robicheaux
... observed by comparing the time-dependent photodetachment rates of H− and F− . (b) An electron’s kinetic energy is conserved if it was driven back to the ion by a static field. In contrast, when the electron is driven back by a time-dependent electric field, its kinetic energy is usually different fr ...
... observed by comparing the time-dependent photodetachment rates of H− and F− . (b) An electron’s kinetic energy is conserved if it was driven back to the ion by a static field. In contrast, when the electron is driven back by a time-dependent electric field, its kinetic energy is usually different fr ...
ATOMIC, MOLECULAR AND OPTICAL PHYSICS J. Phys. B
... between 20 and 35 eV at its centre whose yields rise and fall by almost one order of magnitude, while the laser intensity changes by no more than 15%. This intensity range spans the k = 12 channel closing (as defined by equation (3)). Clearly, what is represented in figure 1 has the appearance of a ...
... between 20 and 35 eV at its centre whose yields rise and fall by almost one order of magnitude, while the laser intensity changes by no more than 15%. This intensity range spans the k = 12 channel closing (as defined by equation (3)). Clearly, what is represented in figure 1 has the appearance of a ...
defense - Purdue University
... • Investigate Stark Shift of the donor g-factor. • g-factor shift for interface-donor system. • Probes spin-orbit effects with E-fields and symmetry transition. • Relative orientations of B and E field. Approach: • The 20 band nearest neighbor sp3d5s* spin model captures SO interaction of the host. ...
... • Investigate Stark Shift of the donor g-factor. • g-factor shift for interface-donor system. • Probes spin-orbit effects with E-fields and symmetry transition. • Relative orientations of B and E field. Approach: • The 20 band nearest neighbor sp3d5s* spin model captures SO interaction of the host. ...
The Uncertainty Principle
... where ℏ = h/2π, h denotes Planck's constant, and boldface type is used to represent matrices. The new theory scored spectacular empirical success by encompassing nearly all spectroscopic data known at the time, especially after the concept of the electron spin was included in the theoretical framewo ...
... where ℏ = h/2π, h denotes Planck's constant, and boldface type is used to represent matrices. The new theory scored spectacular empirical success by encompassing nearly all spectroscopic data known at the time, especially after the concept of the electron spin was included in the theoretical framewo ...
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.