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We derive pseudo-potentials that describe the scattering between two particles in two spatial dimensions for any partial wave m, whose scattering strength is parameterized in terms of the m-dependent phase shift. Using our m=0…

Other Condensed Matter · Physics 2009-11-11 K. Kanjilal , D. Blume

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…

Superconductivity · Physics 2009-06-06 Alessandra Vittorini-Orgeas , Antonio Bianconi

By considering correlations between classical orbits we derive semiclassical expressions for the decay of the quantum fidelity amplitude for classically chaotic quantum systems, as well as for its squared modulus, the fidelity or Loschmidt…

Mesoscale and Nanoscale Physics · Physics 2013-05-29 Boris Gutkin , Daniel Waltner , Martha Gutierrez , Jack Kuipers , Klaus Richter

We have carried out bound-state and low-energy quantum scattering calculations on He + NH (triplet Sigma) in magnetic fields, with the NH molecule in its n=1 rotationally excited states. We have explored the pattern of levels as a function…

Chemical Physics · Physics 2007-07-31 R. Adam Rowlands , Maykel Leonardo Gonzalez-Martinez , Jeremy M. Hutson

We perform extensive magnetic Feshbach spectroscopy of an ultracold mixture of fermionic 40K and bosonic 87Rb atoms. The magnetic-field locations of 14 interspecies resonances is used to construct a quantum collision model able to predict…

Quantum magneto-oscillations provide a powerfull tool for quantifying Fermi-liquid parameters of metals. In particular, the quasiparticle effective mass and spin susceptibility are extracted from the experiment using the Lifshitz-Kosevich…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 G. W. Martin , D. L. Maslov , M. Yu. Reizer

We have observed 26 interspecies Feshbach resonances at fields up to 2050 G in ultracold $^6$Li+$^{23}$Na mixtures for different spin-state combinations. Applying the asymptotic bound-state model to assign the resonances, we have found that…

We present a multiscale quantum-defect theory based on the first analytic solution for a two-scale long range potential consisting of a Coulomb potential and a polarization potential. In its application to atomic structure, the theory…

Atomic Physics · Physics 2016-10-25 Haixiang Fu , Mingzhe Li , Meng Khoon Tey , Li You , Bo Gao

We investigate the behaviour of single-channel theoretical models of cold and ultracold collisions that take account of inelastic and reactive processes using a single parameter to represent short-range loss. We present plots of the…

Atomic Physics · Physics 2017-09-19 Matthew D. Frye , Paul S. Julienne , Jeremy M. Hutson

The transmission probability and phase through a few-electron quantum dot are studied within a resonance theory for the strong coupling regime to the conducting leads. We find that the interaction between overlapping resonances leads to…

Mesoscale and Nanoscale Physics · Physics 2011-05-09 E. R. Racec

We build an effective field theory (EFT) for quasicrystals -- aperiodic incommensurate lattice structures -- at finite temperature, entirely based on symmetry arguments and a well-define action principle. By means of Schwinger-Keldysh…

High Energy Physics - Theory · Physics 2020-11-04 Matteo Baggioli , Michael Landry

We present a theory for rigorous quantum scattering calculations of probabilities for chemical reactions of atoms with diatomic molecules in the presence of an external electric field. The approach is based on the fully uncoupled basis set…

Atomic Physics · Physics 2012-02-06 T. V. Tscherbul , R. V. Krems

Hermann Feshbach predicted fifty years ago that when two atomic nuclei are scattered within an open entrance channel-- the state observable at infinity, they may enter an intermediate closed channel -- the locally bounded state of the…

Quantum Physics · Physics 2008-12-03 D. Z. Xu , H. Ian , T. Shi , H. Dong , C. P. Sun

A scattering resonance is one of the most striking quantum effects in low-temperature molecular collisions. Predicted decades ago theoretically, they have only been resolved experimentally for systems involving at most four atoms. Extension…

We analyze the scattering and bound state physics of a pair of atoms in a one-dimensional optical lattice interacting via a narrow Feshbach resonance. The lattice provides a structured continuum allowing for the existence of bound dimer…

Other Condensed Matter · Physics 2008-08-12 N. Nygaard , R. Piil , K. Molmer

We present a theoretical model of matter-wave diffraction through a material nanostructure. This model is based on the numerical solution of the time-dependent Schr{\"o}dinger equation, which goes beyond the standard semi-classical…

In this paper, we apply the full new method of quantum theory to study the double-slit diffraction of ${C_{60}}$ molecules. We calculate the double-slit wave functions of ${C_{60}}$ molecules by Schr\"{o}dinger equation, and calculate the…

Quantum Physics · Physics 2013-05-14 Xiang-Yao Wu , Ji Ma , Bo-Jun Zhang , Hong Li , Xiao-Jing Liu , Nuo Ba , Si-Qi Zhang , Jing Wang , He Dong , Xin-Guo Yin

We directly measured the normalized $\it{s}$-wave scattering cross-section of ultracold $^{40}\rm{K}$ atoms across a magnetic-field Feshbach resonance by colliding pairs of degenerate Fermi gases (DFGs) and imaging the scattered atoms. We…

The collisional properties of lanthanides exhibit remarkable complexity due to their many valence electrons, leading to an extraordinarily dense Feshbach spectrum showing signs of quantum chaos. Here we explore the situation of bosonic spin…

Bound states and collisions of atoms with two-channel two-body interactions in harmonic waveguides are analyzed. The closed-channel contributions to two-atom bound states become dominant in the case of a weak resonance. At low energies and…

Atomic Physics · Physics 2007-05-23 V. A. Yurovsky
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