Computation of resonances by two methods involving the use of complex coordinates

Resonance Spectra of Quantum Dots in Magnetic Field

“…Similar behavior can be seen in Fig. 2c for the 1°(1) state, which is definitely bound for fields above 90 T. Recently, a similar field-dependence of the energies of autoionizing shape resonance of H ion has been also reported [10].…”

2s2p2p4Pstate ofHe−Chung1 1995Phys. Rev. A19000View full textAdd to dashboardCite

“…This result agrees quite well with a recent coxnputation by Bylicki and Nicolaides [5] where a 353-term correlated wave function is used. They obtain a resonance energy of -0.79360 a.u.…”

Binding of resonant states in a magnetic field

“…We feel strongly that the present results, showing that the abrupt changes of the width are correlated with breaking through the continuum thresholds, give some insight into the problem of stabilizing atomic shape resonances in a magnetic field. 5,6,9 Let us also note, that the effect of the formation of a bound state from a resonance state may be of fundamental importance in the investigation of transport phenomena in low-dimensional nanostructures. Since the binding of a resonance state means the suppression of resonant tunneling through this state, the magnetic field could be used to control ͑to switch on/off͒ the tunneling current in electronic devices built of quantum dots.…”

“…Recently, Ho 5 and Bylicki and Nicolaides 6 considered the case of the hydrogen negative ion 1 P o resonance in a magnetic field. This state, having the energy position just above the nϭ2 hydrogen level ͑the second threshold for the con-tinuum͒, belongs to the category of shape resonances.…”