High Rydberg states of an atom in parallel electric and magnetic fields (original) (raw)
Related papers
High Rydberg States Of an Atom In a Strong Magnetic Field
Physical Review Letters, 1983
Classical trajectories and semiclassical eigenvalues are calculated for an atomic Rydberg state in a magnetic field. Perturbation theory describes a classical trajectory as a Kepler ellipse which rocks, tilts, and flips in space as orbital parameters evolve slowly in time. Exact numerical calculations verify the accuracy of perturbation theory for n=30, 8 & 6 T. Action variables are calculated from perturbation theory and from exact trajectories, and semiclassical eigenvalues obtained by quantization of the action. Good agreement is found with observations.
Rydberg atoms in weak magnetic fields
Physical Review A, 1983
The quadratic Zeeman effect of Rydberg atoms is treated with the help of first-order perturbation theory and a special WKB approximation. The Bohr-Sommerfeld quantization leads to complete elliptic integrals. As a result we found that the spectrum is doubly degenerate if n /m2)5, this part exhibiting a linear Stark effect in an additional weak electric field; the rest of the spectrum (n2/m2 & 5) is nondegenerate, exhibiting a quadratic Stark effect in an additional weak electric field.
A quantum-field theory approach to the calculation of energy levels in helium-like Rydberg atoms
Annals of Physics, 1987
We discuss the tine structure splitting of the energy levels in Rydberg states of helium or helium-like ions on the basis of quantum electrodynamics, using time-independent perturbation theory and the radiation gauge. For the zero-order description of the states we use products of Dirac-type wavefunctions. with shielding for the outer electron. The perturbing interaction includes the residual electrostatic potential, the interaction coming from the exchange of virtual photons, and the creation of virtual electron-positron pairs. It is shown that the level shifts for low-Z ions are given to high accuracy by a procedure followed previously.
Journal of Physics B: Atomic, Molecular and Optical Physics, 2000
We present a quantum mechanical, classical and semiclassical study of the energy spectrum of a Rydberg hydrogen atom in the instantaneous van der Waals potential for the L z = 0 case. The semiclassical results are in good agreement with the results of the quantum mechanical calculations within the first-order perturbation theory as well as with the quantum mechanical calculations of other authors. The classical analysis shows that the phase space of the system is separated into the regions of vibrational and rotational motions, which are connected, respectively, with the lower-lying energy levels of doublet symmetry, and with the non-degenerate higher-energy levels. Finally, we compare the classical (eigen)trajectories with the corresponding eigenstates and find that both of them show the same symmetry patterns.
Rydberg–Stark states in oscillating electric fields
Molecular Physics, 2015
Experimental and theoretical studies of the effects of weak radio-frequency electric fields on Rydberg-Stark states with electric dipole moments as large as 10000 D are reported. High-resolution laser spectroscopic studies of Rydberg states with principal quantum number n = 52 and 53 were performed in pulsed supersonic beams of metastable helium with the excited atoms detected by pulsed electric field ionisation. Experiments were carried out in the presence of sinusoidally oscillating electric fields with frequencies of 20 MHz, amplitudes of up to 120 mV/cm, and dc offsets of up to 4.4 V/cm. In weak fields the experimentally recorded spectra are in excellent agreement with the results of calculations carried out using Floquet methods to account for electric dipole couplings in the oscillating fields. This highlights the validity of these techniques for the accurate calculation of the Stark energy level structure in such fields, and the limitations of the calculations in stronger fields where n−mixing and higher-order contributions become important.
Zeitschrift f�r Physik D Atoms, Molecules and Clusters, 1987
For deuterium Rydberg atoms in a magnetic field of ...... 6 T we compa re tbe complete experimen tal spectrum io the range-190 em-1 to-20 cm-I with the positions and oscillator strengths of the correspond ing quantum theoretically calculated photoabsorption lines. The agreement is cxccllent. The range of energy covered extends from the end of the I-mixing regime up to tbe regions where tbe approximate integrability of the problem is completely lost, and the corresponding classical system undergoes a transition to chao!>.
Symmetry and coherent control of the quantum dynamics of Rydberg atoms
Journal of Physics: Conference Series, 2018
Transitions probabilities for highly excited Rydberg states of atoms in electromagnetic traps under the influence of an external electromagnetic fields are calculated. We used the method of groups of dynamical symmetry for hydrogenlike atoms and the technique of relevant coherent states. This allows us to calculate the transition probabilities between atomic levels outside the framework of perturbation theory. The problem of coherent controlling the quantum dynamics of atoms in cavities and some possible applications for quantum information theory are briefly discussed.
Visualization and interpretation of Rydberg states
arXiv preprint arXiv:1203.4768, 2012
For many purposes it is desirable to have an easily understandable and accurate picture of the atomic states. This is especially true for the highly excited states which exhibit features not present in the well known states hydrogen-like orbitals with usual values of the quantum numbers. It could be expected that such visualizations are readily available. Unfortunately, that is not the case. We illustrate the problems by showing several less fortunate earlier presentations in some scientifically most valuable works, and show more suitable visualizations for those cases. The selected cases are not chosen to criticize the authors' approach. Rather, we have taken these very important papers to underline the need for serious work with graphical representations which this work attempts to be a part of.
Semiclassically modeling Hydrogen at Rydberg states immersed in electromagnetic fields
2019
Originally, closed-orbit theory was developed in order to analyze oscillations in the near ionization threshold (Rydberg) densities of states for atoms in strong external electric and magnetic fields. Oscillations in the density of states were ascribed to classical orbits that began and ended near the atom. In essence, observed outgoing waves following the classical path return and interfere with original outgoing waves, giving rise to oscillations. Elastic scattering from one closed orbit to another gives additional oscillations in the cross-section. This study examines how quantum theory can be properly used in combination with classical orbit theory in order to study inelastic scattering for atoms in an external field. At Rydberg states, an electron wave function can be modeled numerically through semiclassical means, using the Coulombic interaction from the atom, but as it approaches lower states, it must be modeled quantum mechanically, using a ‘Modified Coulombic’ potential.