Discrete variable representation for highly excited states of hydrogen atoms in magnetic fields

Excitation and ionization inp+ H collisions calculated by direct numerical solution using Laguerre meshes

“…We can find only a small number of atomic applications, i.e. for atomic structure calculation (Godefroid et al 1989, Vincke et al 1993, Demeur et al 1994, Malegat 1994, Malegat and Vincke 1994, Grozdanov and McCarroll 1996, Grozdanov et al 1997 and for the R-matrix method (Layton 1993, Layton andStade 1993). Very recently, the present author (Sakimoto (2000b), hereafter referred to as paper I) has employed the DVR to investigate the ionization of atomic hydrogen by antiproton (p) impact:p + H →p + p + e.…”

“…Therefore, we can carry out the calculation without introducing any imaginary potentials when we use the Laguerre mesh. The Laguerre mesh has already been used in atomic physics to study two-electron atoms (Godefroid et al 1989, Malegat andVincke 1994) and hydrogen atoms in magnetic fields (Vincke et al 1993, Demeur et al 1994, Grozdanov and McCarroll 1996, Grozdanov et al 1997. However, the applicability of the Laguerre mesh to the ionization problem has not yet been well confirmed.…”

Application of the Filter Diagonalization Method to One- and Two-Dimensional NMR Spectra

“…As we will show, FDM is related to existing linear algebraic methods but has important practical advantages computationally with regard to speed, stability, the ability to efficiently process very long time signals with many (e.g., 10 6 ) spectral features, and the ability to process multidimensional signals directly. The output of FDM is a ''line list'' of spectral parameters for Lorentzian lines in terms of frequency, width, amplitude, and phase.…”

An effective quantum defect theory for the diamagnetic spectrum of a barium Rydberg atom

“…A hydrogen atom inside an external magnetic field constitutes an ideal system for the study of diamagnetism due to its pure Coulombic potential of the lone electron [1] in the unperturbed Hamiltonian. Such a system maintains rotational symmetry with respect to the direction of the magnetic field, providing fascinating opportunities for theoretical study especially when the diamagnetic potential is comparable to the Coulomb potential in magnitudes.…”