Tunneling of a diatomic molecule incident upon a potential barrier

Abstract

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Tunneling of Atoms, Nuclei and Molecules

“…[16] for a two-spin system tunneling though a barrier. The transmission probability as a function of the barrier width also shows signs of resonant behavior, as observed in calculations for transmission of molecules though barriers [17,18]. Figure 3 shows the transmission Left: a schematic rectangular barrier simulates the proton-nucleus interaction for a deuteron-nucleus fusion reaction.…”

“…3 shows the transmission probability of a molecule through a thin barrier as a function of the barrier width a times the molecule momentum. The dashed curve is the transmission probability when the molecule is in an excited state after the transmission [17,18]. By moving to its ground state the excited molecule increases its chance of transmission.…”

“…Right: transmission probability of a molecule through a thin barrier as a function of the barrier width a times the molecule momentum. The dashed curve is the transmission probability when the molecule is in an excited state after the transmission [17,18] number of operations grows very fast with the number of points in the coordinate lattice [7,8]. It also increases with the number of particles in the system at hand, becoming numerically demanding for large fermionic or bosonic systems [9].…”

Transmission and reflection of a molecule with a dipole moment incident upon a circular hole in a two-dimensional conducting sheet

“…This method drastically reduced the amount of computing needed to obtain the probabilities. In 2005, Shegelski used this method to extend previously obtained results and thereby revealed more details and behaviours for tunnelling in one and three dimensions [9,10]. Razavy's method was used in studies of molecules having two bound states [9,10], many bound states [11,12], and two bound states with a continuum of unbound states [13].…”

Tunneling of a diatomic molecule incident upon a potential barrier.

“…In 2005, the results from this thesis were published in a paper by Goodvin and Shegelski entitled "Tunneling of a Diatomic Molecule Incident Upon a Potential Barrier" [27]. The detailed formulation of this problem and its results will be discussed in the following chapters.…”