2009
DOI: 10.1007/s10948-008-0433-x
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From Majorana Theory of Atomic Autoionization to Feshbach Resonances in High Temperature Superconductors

Abstract: The Ettore Majorana paper "Theory of incomplete P' triplets", published in 1931, focuses on the role of selection rules for the non-radiative decay of two electron excitations in atomic spectra, involving the configuration interaction between discrete and continuum channels. This work is a key step for understanding the 1935 work of Ugo Fano on the asymmetric lineshape of two electron excitations and the 1958 Herman Feshbach paper on the shape resonances in nuclear scattering arising from configuration interac… Show more

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Cited by 36 publications
(32 citation statements)
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“…It is physically due to the interference between a background and a resonant scattering process. This effect is named after Ugo Fano who offered a beautiful theoretical explanation on the scattering lineshape of inelastic scattering of electrons in helium [35] (although some people credit Ettore Majorana for the first discovery of such a phenomenon [36]). Since it is a general wave phenomenon, a variety of examples can be found across many research areas of physics and engineering.…”
Section: Fano Resonance In An Active Microcavitymentioning
confidence: 99%
“…It is physically due to the interference between a background and a resonant scattering process. This effect is named after Ugo Fano who offered a beautiful theoretical explanation on the scattering lineshape of inelastic scattering of electrons in helium [35] (although some people credit Ettore Majorana for the first discovery of such a phenomenon [36]). Since it is a general wave phenomenon, a variety of examples can be found across many research areas of physics and engineering.…”
Section: Fano Resonance In An Active Microcavitymentioning
confidence: 99%
“…The shape resonances in superconducting gaps near an ETT are analogous to the scattering resonances due to configuration interaction between a closed and an open channel described in nuclear physics by Majorana and Feshbach, and in atomic physics by Fano, as reported in a recent work. 42 In our system, we capture the crucial ingredients of the interplay of the two bands and of the two set of wave functions (which will be shown to be responsible for the shape resonances in the gap and in the critical temperature), without facing the complications beyond BCS theories (as the Eliashberg theory, or corrections beyond Migdal theorem, etc.) which are considered in more conventional (phonon-or magnon-mediated) strong-coupling superconductors, or the t-matrix corrections.…”
Section: Introductionmentioning
confidence: 99%
“…[80] A similar scenario is possible in ultracold gases [81] since the shape resonance is a fundamental concept for many body systems in nuclear, atomic, molecular and condensed matter. [82] While the consensus on multiband superconductivity in the clean limit has been rapidly accepted for diborides and pnictides [44][45][46][47] condensates with different winding numbers. [80] In this work we describe the complex physics of two components superfluid condensates with two order parameters: the first is a standard BCS condensate and the second is a bosonic condensate near a band threshold.…”
Section: Introductionmentioning
confidence: 99%