Hydrogen atom in a magnetic field: The quadrupole moment

Abstract

The quadrupole moment of a hydrogen atom in a magnetic field for field strengths from 0 to 4.414e13 G is calculated by two different methods. The first method is variational, and based on a single trial function. The second method deals with a solution of the Schroedinger equation in the form of a linear combination of Landau orbitals.

4 pages, 1 figure, 1 table; RevTeX. Final (proofs-stage) version of the text; corrected numbers in Table 1 and in Eq.(15)

References in corpus (5)

• Discovery of 424 ms pulsations from the radio-quiet neutron star in the PKS 1209-52 supernova remnant
• Partially ionized hydrogen plasma in strong magnetic fields
• Photoionization of hydrogen in atmospheres of magnetic neutron stars
• Hydrogen atom moving across a strong magnetic field: analytical approximations
• First XMM-Newton observations of an isolated neutron star: RXJ0720.4-3125

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• Anomaly-induced Quadrupole Moment of the Neutron in Magnetic Field
• Magnetic field-induced electric quadrupole moment in the ground state of the relativistic hydrogen-like atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
• A hydrogenic molecular atmosphere of a neutron star
• The $H_3^{+}$ molecular ion in a magnetic field in linear parallel configuration
• Magnetic-field-induced electric quadrupole moments for relativistic hydrogenlike atoms: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
• Bound-state beta-decay of a neutron in a strong magnetic field
• On an atom with a magnetic quadrupole moment in a rotating frame
• The exotic $H_3^{2+}$ ion in a strong magnetic field. Linear configuration
• Two-body neutral Coulomb system in a magnetic field at rest: from Hydrogen atom to positronium
• Magnetic-dipole-to-electric-quadrupole cross-susceptibilities for relativistic hydrogenlike atoms in some low-lying discrete energy eigenstates
• The hydrogen molecule ${\mathrm{H}}_2$ in inclined configuration in a weak magnetic field
• Hydrogen atom in a magnetic field: electromagnetic transitions of the lowest states
• ${\mathrm{H}}_2^{+}$ in a weak magnetic field