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Showing 1 to 20 of 32 for “"Quantum Number"”.
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Born-Oppenheimer Expansion for Diatomic Molecules with Large Angular Momentum
… of diatomic molecules for bounded vibrational quantum number n and large angular momentum quantum number l. Specifically, results are given when (l + 1) < κ𝛜⁻³/². Explicit formulas for the approximate energies are also given. Numerical comparisons for the H+₂ and HD+ molecules are presented.
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Fock's representation for molecular orbitals
… eigenvalues are determined only by the principal quantum number n. In this chapter we note that if his method is applied to the 2-dimensional Kepler problem in momentum space, the eigenfunctions are the R<sub>3</sub> spherical harmonics, Y<sub>1m</sub>, and the eigenvalues are determined only by …
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Hadronic gas models in particle production and phase transitions
In this work the methods of exact quantum number conservation in statistical mechanics are discussed and applied to the field of high energy nucleus-nucleus collisions. Various types of hadronic gas models are discussed as well as their merits and restrictions. Attempts to construct a …
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Angle-resolved photoemission studies of quantum-electronic coherence in metallic thin-film systems
… rise to distinct electronic states known as quantum-well states. Related to the electromagnetic standing waves in an optical Fabry-Perot interferometer, electrons in a quantum well undergo mirror-like reflections at the film surface and substrate-film interface. At thicknesses comprising only …
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Hyperfine structure and hyperfine transitions of helium-3
… and n 3PJ states with higher values of principal quantum number n. An unexpected result of this work is that even for the low-Z isotope 3He, hyperfine-induced transitions are still important. This originates from strong hyperfine mixing between singlet and triplet states.
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Implementing a Lattice Formulation of the Schwinger Modelwith Periodic Boundary Conditions Using Tensor Networks
… global conservation of a specially defined quantum number with the local optimization steps used in the density matrix renormalization group (DMRG) algorithm for finding the ground state of a quantum system. However, due to practical constraints, I still use matrix product states and matrix …
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A precision millimeter-wave measurement of the Rydberg frequency
… states of atomic hydrogen with a principle quantum number, n, between 27 and 30. This measurement provides an independent check, in a different regime, of the optical measurements. Our measurement, cR[infinity] = 3 289 841 960 306(69) kHz with an uncertainty of 2.1 x 10⁻¹¹, is consistent …
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Semiclassical Propagators for Quantum Coherent States and Applications of Extra Quantum Phase to Large-spin Tunneling of Magnetic Molecules
… used to obtain the semiclassical expressions of quantum propagators by means of coherent states in the holomorphic representation together with the appropriate boundary conditions. It allows us to express the total actions including boundary terms, classical trajectories, and extra phases in the …
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Dynamics of interfering wave packets in rubidium by high resolution quantum beat spectroscopy
High resolution quantum beat spectroscopy has been realized to study atomic wave packet dynamics. Wave packets comprising pairs of low quantum number (n = 5 - 8) electronic states were formed in Rb vapor with ultrafast laser pulses, and their dynamics was observed by an all-optical technique of …
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Developing A Toolbox To Probe Reaction Dynamics With Strong Field Ionization And Non-Linear Attosecond Spectroscopy
… verified to be sensitive to the sign of magnetic quantum number which evident the capability of probing atomic orientation. The next part is based on non-linear attosecond spectroscopy. With the use 1 kHz laser and the loose focusing geometry we were able to produce attosecond pulse trains with a …
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Semi-Empirical Lifetimes for High-Energy Rydberg States of ¹³³Cs Neutral Cesium in a Blackbody Radiation Field
… deplete the lifetime of states with principal quantum number greater than. n≈16 Therefore we have also explicitly included blackbody-induced transitions in our calculations, in order to evaluate the lifetimes at temperatures of 0K, 350K, and 600K. States with principal quantum numbers n = 6-40 …
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Nuclear charge distribution of ¹⁸¹Ta
… connecting states of different principal quantum number, <em>n</em>, are calculated since these terms are second order effects.</p> <p>Some recent work has shown a way to include these terms. A method of introducing these correction terms in a relativistically consistent way was developed …
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Computational Study of the Properties and Stabilities of Endohedral Metallofullerenes
… stability for an azofullerene with a large spin quantum number (15/2). Finally, computational techniques are employed to predict the thermodynamic feasibility of a chemical reaction replacing one metal atom in a trimetallic-nitride template (TNT) endohedral metallofullerene with different metal …
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Enabling Electronic Structure Calculations of High Z Element Containing Materials Using Dirac Relativistic DFT Methods
… maximum range of exponential coefficients and number of terms in the expansion for each quantum number was used to optimize the basis set efficiency. An algorithm that circumvents the error prone direct calculation of relativistic kinetic energy terms has been adapted from the CI method of our …
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Stabilization of autoionizing states
… lifetime was found to increase the number of atoms that were stabilized. Shake-up spectra in which the principal quantum number of both electrons changes during the stimulated emission process was also clearly demonstrated.</p> <p>In the second experiment, a short laser pulse (short …
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Quantum transport theory of 3D time-reversal invariant topological insulators
… of a recently predicted and discovered phase of quantum matter - topological insulators (TIs), which are characterized by an insulating bulk and topologically protected, gapless, spin-momentum locked surface modes. Precise engineering of these gapless modes may yield new potential materials for …
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Alpha decay and alpha elastic scattering by heavy nuclei
… moving in orbits with a large value of a global quantum number, G. The discontinuity in decay half-lives at the N=l26 neutron shell closure is then naturally explained by an increase of G as the alpha particle is forced into a higher orbit by the shell closure. We consider alternative approaches …
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Coherent excitation of ultracold atoms between ground and Rydberg states
… scales with the seventh power of the principle quantum number. Electromagnetically induced transparency (EIT) is used to map Rydberg energy level shifts onto a ground state transition. EIT in a thermal vapour cell also provides a novel method of stabilising the Rydberg coupling laser. The …
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Third-order QCD corrections to heavy quark pair production near threshold
… Green function and are presented for arbitrary quantum number n. The results have been implemented in a Mathematica program which makes the data easily accessible. Once some missing matching coeffcients are calculated, and a complete electroweak calculation is available, the results of this work …
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