Classical theory of charge transfer and ionization of hydrogen atoms by protons

Abrines, R; Percival, I C

doi:10.1088/0370-1328/88/4/306

Cited by 676 publications

(425 citation statements)

References 12 publications

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“…These features can be preserved in simplified form with the help of the classical trajectory Monte Carlo ͑CTMC͒ method. 25,26 In the CTMC method, the PSC approximation is assumed to be valid for the evaluation of the classical quantities D q and F q . However, the mapping of quantum numbers in the quantum wires onto the initial and final conditions for classical trajectories inside the cavity employs phasespace binning.…”

Section: Ctmc Methodsmentioning

confidence: 99%

Gauge-invariant theory for semiclassical magnetotransport through ballistic microstructures

1999

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Within the semiclassical theory of magnetotransport through ballistic cavities, fluctuations in the transmission amplitude and in the conductance originate from the Aharonov-Bohm phase of directed areas. We formulate the semiclassical transmission amplitude in gauge-invariant form. The gauge invariant phases can be visualized in terms of areas enclosed by classical paths, which consist of the real path connecting the entrance point to the exit point and a virtual path leading back to the entrance point. We implement this method on different levels of a semiclassical description of magnetotransport with applications to magnetoconductance fluctuations and correlations. The validity of the semiclassical theories is analyzed. ͓S0163-1829͑99͒10903-2͔

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Section: Ctmc Methodsmentioning

confidence: 99%

Gauge-invariant theory for semiclassical magnetotransport through ballistic microstructures

1999

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“…We therefore made supporting calculations using the classical trajectory Monte Carlo (CTMC) method [42,43]. Solving the Newtonian equations of motion for a large number (∼30 000) of individual electron trajectories, corresponding to different initial conditions picked at random from a microcanonical ensemble [44][45][46], a classical estimate for the ionization probability P ion is obtained simply by taking the ratio between the number of trajectories corresponding to a free electron after the pulse and the total number of trajectories.…”

Section: Fig 2 (Color Online)mentioning

confidence: 99%

Stabilization of circular Rydberg atoms by circularly polarized infrared laser fields

et al. 2011

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The ionization dynamics of circular Rydberg states in strong circularly polarized infrared (800 nm) laser fields is studied by means of numerical simulations with the time-dependent Schrödinger equation. We find that at certain intensities, related to the radius of the Rydberg states, atomic stabilization sets in, and the ionization probability decreases as the intensity is further increased. Moreover, there is a strong dependence of the ionization probability on the rotational direction of the applied laser field, which can be understood from a simple classical analogy.

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“…An important question here is: does the breakup process influence fusion reactions in a similar way as the inelastic process, which leads to subbarrier enhancement [ 1] of fusion cross sections over predictions for a single barrier? In addressing this question, measurements with weakly bound stable nuclei, such as 9 Be, 6 Li, and 7 Li, have been proved to be useful [ 2,3,4]. These beams are currently much more intense than radioactive beams, allowing more precise and extensive experimental studies.…”

Section: Introductionmentioning

confidence: 99%

“…These beams are currently much more intense than radioactive beams, allowing more precise and extensive experimental studies. Also, these nuclei predominantly break up into charge fragments ( 9 Be → 2α + n or α+ 5 He, 7 Li → α + t, and 6 Li → α + d), which are more easily detected. This allows a clean separation of the products of complete fusion from those of incomplete fusion, where only a part of the projectile is captured.…”

Section: Introductionmentioning

confidence: 99%

“…In this contribution, we present such a model [ 3], where many classical trajectories are sampled by the Monte Carlo method to compute the total complete fusion cross section. We note that a very similar model, called the three-body classical trajectory Monte Carlo (CTMC) method, has been developed in the field of atomic and molecular physics, and has been successfully applied to ion-atom ionization and charge transfer collisions [ 7,8,9]. …”

Section: Introductionmentioning

confidence: 99%

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Fusion and breakup in the reactions of 6,7Li and 9Be

Hagino¹,

Dasgupta²,

Hinde³

2004

Nuclear Physics A

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We develop a three body classical trajectory Monte Carlo (CTMC) method to dicsuss the effect of the breakup process on heavy-ion fusion reactions induced by weakly bound nuclei. This method follows the classical trajectories of breakup fragments after the breakup takes place, and thus provides an unambiguous separation between complete and incomplete fusion cross sections. Applying this method to the fusion reaction 6 Li + 209 Bi, we find that there is a significant contribution to the total complete fusion cross sections from the process where all the breakup fragments are captured by the target nucleus (i.e., the breakup followed by complete fusion).

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Classical theory of charge transfer and ionization of hydrogen atoms by protons

Cited by 676 publications

References 12 publications

Gauge-invariant theory for semiclassical magnetotransport through ballistic microstructures

Gauge-invariant theory for semiclassical magnetotransport through ballistic microstructures

Stabilization of circular Rydberg atoms by circularly polarized infrared laser fields

Fusion and breakup in the reactions of 6,7Li and 9Be

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