Calculation of state selective field ionization of hydrogen atoms in a strong magnetic field

Donnan, Patrick H.; Niffenegger, K.; Topçu, Türker; Robicheaux, F.

doi:10.1088/0953-4075/44/18/184003

Cited by 6 publications

(5 citation statements)

References 24 publications

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“…Firstly, the survival probability at E = 0 gives the probability for the Ps to be emitted in four different angular ranges. Secondly, the main drop in the survival probability is spread over a larger range of E-fields than would be expected from the paper [11]; this is because the Ps that are formed have a variation in their binding energy and Ps with larger/weaker binding energy can survive stronger/weaker fields. Thirdly, the Ps that are in the range 3/4 |cos(θ)| 1 (the Ps traveling most nearly in the z-direction) are destroyed by weaker electric fields on average; this is because the more weakly bound atoms are correlated with traveling in the z-direction.…”

Section: Multiple E + Collisions E-fieldmentioning

confidence: 82%

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Positron collisions with Rydberg atoms in strong magnetic fields

Donnan¹,

Robicheaux

2012

New J. Phys.

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Abstract.We have calculated the rates for the processes that result from collisions of positrons with Rydberg atoms in strong magnetic fields. This is the first step in a two-stage charge transfer, which is being explored as a mechanism for the formation of cold anti-hydrogen. Unlike previous theoretical explorations we have also investigated the cases when the energy of the positrons can be comparable to or larger than the binding energy of the atom. We have also examined how big an electric field is needed to destroy the resulting positronium. We find that the charge transfer does not scale as √ T for n = 40 states for positron temperatures above T ∼ 25 K. Also, we find that the positronium atoms are more easily destroyed by electric fields if they emerge from the charge transfer along the magnetic field lines, contrary to what might be expected for the v × B effective electric field. Both results have implications for the formation of anti-hydrogen atoms.

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Section: Multiple E + Collisions E-fieldmentioning

confidence: 82%

“…Donnan et al [11] computed the ionization of an atom in a strong magnetic field by a rising electric field. Their figure 2 shows the result for n = 30 and a 1 T magnetic field.…”

Section: Multiple E + Collisions E-fieldmentioning

confidence: 99%

Positron collisions with Rydberg atoms in strong magnetic fields

Donnan¹,

Robicheaux

2012

New J. Phys.

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“…A worry is that the electric field should smoothly turn on to avoid artefacts from discontinuities in the time derivative of the Hamiltonian. To avoid this we chose the time dependent electric field to have a similar form from [31]:…”

Section: Ramped Electric Field Results: Full Classicalmentioning

confidence: 99%

A classical analogue for adiabatic Stark splitting in non-hydrogenic atoms

Gordon¹,

Robicheaux

2013

J. Phys. B: At. Mol. Opt. Phys.

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For highly excited low-states of atoms, a rising electric field causes a mixing between angular momenta that gives rise to Stark states. A relatively simple situation occurs if the electric field is not strong enough to mix states with adjacent principle quantum numbers. If the initial state has slightly lower (higher) energy than the degenerate manifold, then the state adiabatically connects to a Stark state with the electron on the low (high) potential energy side of the atom. We show that purely classical calculations for non-hydrogenic atoms have an adiabatic connection to extreme dipole moments similar to quantum systems. We use a simple map to show that the classical dynamics arises from the direction of the precession of the Runge-Lenz vector when the electric field is off. As a demonstration of the importance of this effect, we perform classical calculations of charge exchange and show that the total cross section for charge transfer and for ionization strongly depend on whether or not a pure Coulomb potential is used.

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“…In the paper by Donnan et al [27], the stability of deeply bound Rydberg hydrogen states in parallel constant magnetic and time-increasing electric fields is investigated. These calculations are useful for understanding the dynamics of atom formation in antihydrogen traps.…”

Section: Rydberg Atoms In External Fieldsmentioning

confidence: 99%