1 The Fourier Transform
... The wave-particle duality problem can be somewhat reconciled by thinking about particles as localized wave packets. Waves of different frequencies are superposed so that they interfere completely (or nearly so) outside of a small spatial region. Clearly, both the amplitudes (magnitude of waves of di ...
... The wave-particle duality problem can be somewhat reconciled by thinking about particles as localized wave packets. Waves of different frequencies are superposed so that they interfere completely (or nearly so) outside of a small spatial region. Clearly, both the amplitudes (magnitude of waves of di ...
Nature template - PC Word 97
... hydrogen7. These experiments have provided evidence for the BKT phase transition by looking at the macroscopic properties of the system, but could not reveal its microscopic origin, i.e. binding and unbinding of vortex-antivortex pairs3,4. Harmonically trapped atomic gases generally provide an excel ...
... hydrogen7. These experiments have provided evidence for the BKT phase transition by looking at the macroscopic properties of the system, but could not reveal its microscopic origin, i.e. binding and unbinding of vortex-antivortex pairs3,4. Harmonically trapped atomic gases generally provide an excel ...
LiNaK: Multi-Species Apparatus for the Study of Ultracold Quantum Degenerate Mixtures
... There is a long list of people who I have interacted with in the CUA hallway, who I would like to acknowledge. Most importantly, our fellow mates in the BEC experiments and the new Fermi 2. Ariel Sommer is always a source of inspiration for the great work he does, only comparable to the meticulous a ...
... There is a long list of people who I have interacted with in the CUA hallway, who I would like to acknowledge. Most importantly, our fellow mates in the BEC experiments and the new Fermi 2. Ariel Sommer is always a source of inspiration for the great work he does, only comparable to the meticulous a ...
Fractional quantum Hall effect in optical lattices
... As noted above the FQH effect can be realized by simply rotating and cooling atoms confined in a harmonic trap. In this situation, it can be shown that the Laughlin wave function exactly describes the ground state of the many-body system 关7,14兴. In optical lattices, on the other hand, there are a nu ...
... As noted above the FQH effect can be realized by simply rotating and cooling atoms confined in a harmonic trap. In this situation, it can be shown that the Laughlin wave function exactly describes the ground state of the many-body system 关7,14兴. In optical lattices, on the other hand, there are a nu ...
Formation of the Kondo resonance in two-atom W. I.
... leads is larger than for the antiparallel case, due to larger contact efficiencies in the symmetric junction. The situation, however, can be reversed in the asymmetric system. In the case of a non-zero energy levels gap, unstable solutions appear similarly to the paramagnetic case. Depending on the ...
... leads is larger than for the antiparallel case, due to larger contact efficiencies in the symmetric junction. The situation, however, can be reversed in the asymmetric system. In the case of a non-zero energy levels gap, unstable solutions appear similarly to the paramagnetic case. Depending on the ...
Introductory quantum mechanics
... Note that, as V 0, the above equation reduces to the nopotential case (as we have discussed earlier) ...
... Note that, as V 0, the above equation reduces to the nopotential case (as we have discussed earlier) ...
A Further Look at Waveguide Lasers
... fiber laser” IEEE Photon. Technol. Lett., vol. 5, pp. 1162–1164, 1993. [2] R. Brinkmann, W. Sohler, and H. Suche, “Continuous-wave erbiumdiffused LiNbO3 waveguide laser” Electron. Lett., vol. 27, pp. 415–416, ...
... fiber laser” IEEE Photon. Technol. Lett., vol. 5, pp. 1162–1164, 1993. [2] R. Brinkmann, W. Sohler, and H. Suche, “Continuous-wave erbiumdiffused LiNbO3 waveguide laser” Electron. Lett., vol. 27, pp. 415–416, ...
Chapter 12 Path Integral for Fermion Fields
... (see (12.22)), where we assume the fermions to be massless. As we shall see later, this determinant can be calculated explicitly in 2 dimensions by integrating the chiral anomaly. As a first / It will turn out that this number is a step we now determine the number of zero modes of D. physically and ...
... (see (12.22)), where we assume the fermions to be massless. As we shall see later, this determinant can be calculated explicitly in 2 dimensions by integrating the chiral anomaly. As a first / It will turn out that this number is a step we now determine the number of zero modes of D. physically and ...
II: Experimental Atomic Spectroscopy
... degeneracy. An additional quantum number ms is needed to describe the electron spin. For the alkali “one-electron” atoms the spin-orbit coupling produces an appreciable splitting of all but the = 0 lines with a separation which increases with Z but for a given atom decreases with increasing n. The ...
... degeneracy. An additional quantum number ms is needed to describe the electron spin. For the alkali “one-electron” atoms the spin-orbit coupling produces an appreciable splitting of all but the = 0 lines with a separation which increases with Z but for a given atom decreases with increasing n. The ...
Correlated many-electron states in a quantum dot containing a
... and the size of the spin, M, of the magnetic ion Mn. That Ne electrons interact with the single magnetic impurity ion via the contact interaction implies that those different single orbitals couple with one another. As a consequence states with different total angular momenta and/or different total ...
... and the size of the spin, M, of the magnetic ion Mn. That Ne electrons interact with the single magnetic impurity ion via the contact interaction implies that those different single orbitals couple with one another. As a consequence states with different total angular momenta and/or different total ...
Symmetry Reduction and Energy Levels Splitting of the One
... For a review of mathematical problems for boundary conditions (2.1–2.4), in particular for the case when κ depends on some parameters, see in [7, 8]. We restrict this study to Dirichlet boundary conditions (2.3). The work of Michels et al. [9] is often regarded as a first example of how the Dirichlet ...
... For a review of mathematical problems for boundary conditions (2.1–2.4), in particular for the case when κ depends on some parameters, see in [7, 8]. We restrict this study to Dirichlet boundary conditions (2.3). The work of Michels et al. [9] is often regarded as a first example of how the Dirichlet ...
Approach to ergodicity in quantum wave functions
... out two alternatives (see e.g. [12]). For the rst, consider Hamiltonians homogeneous in positions and momenta, e.g. billiards, or systems with a suitable scaling of parameters, such as hydrogen in a magnetic eld. Then it is possible to absorb Planck's constant into some power of the energy and so ...
... out two alternatives (see e.g. [12]). For the rst, consider Hamiltonians homogeneous in positions and momenta, e.g. billiards, or systems with a suitable scaling of parameters, such as hydrogen in a magnetic eld. Then it is possible to absorb Planck's constant into some power of the energy and so ...
Multi-species systems in optical lattices: effects of disorder
... we will study the many-body systems both in the weakly interacting and in the strongly correlated regimes. We start with the properties of single particles in excited bands, from where we investigate the weakly interacting regime of the many-body p- and d-orbital systems in Chapters 2 and 3. This pr ...
... we will study the many-body systems both in the weakly interacting and in the strongly correlated regimes. We start with the properties of single particles in excited bands, from where we investigate the weakly interacting regime of the many-body p- and d-orbital systems in Chapters 2 and 3. This pr ...
Exact and approximate energy spectrum for the finite square well
... We investigate the problem of a quantum particle in a one-dimensional finite square well. In the standard approach the allowed energies are determined implicitly as the solutions to a transcendental equation. We obtain the spectrum analytically as the solution to a pair of parametric equations and a ...
... We investigate the problem of a quantum particle in a one-dimensional finite square well. In the standard approach the allowed energies are determined implicitly as the solutions to a transcendental equation. We obtain the spectrum analytically as the solution to a pair of parametric equations and a ...
Many-body levels of optically excited and multiply charged InAs nanocrystals... by semiempirical tight binding
... respectively.18,19 The studies also demonstrated that the exciton gaps are much less sensitive to a dielectric mismatch at the nanocrystal surface than the quasiparticle gaps.19,28 Tight-binding studies of exciton gaps showed that the model with an s p 3 s * basis set underestimates exciton gaps by ...
... respectively.18,19 The studies also demonstrated that the exciton gaps are much less sensitive to a dielectric mismatch at the nanocrystal surface than the quasiparticle gaps.19,28 Tight-binding studies of exciton gaps showed that the model with an s p 3 s * basis set underestimates exciton gaps by ...
II: Experimental Atomic Spectroscopy
... degeneracy. An additional quantum number ms is needed to describe the electron spin. For the alkali “one-electron” atoms the spin-orbit coupling produces an appreciable splitting of all but the = 0 lines with a separation which increases with Z but for a given atom decreases with increasing n. The ...
... degeneracy. An additional quantum number ms is needed to describe the electron spin. For the alkali “one-electron” atoms the spin-orbit coupling produces an appreciable splitting of all but the = 0 lines with a separation which increases with Z but for a given atom decreases with increasing n. The ...