Exact quantum-mechanical propagator for an electron in a saddle-point potential and a magnetic field

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Damme van, Ruud and Wiegel, Frederik W. and Harrison, Michael J. (1989) Exact quantum-mechanical propagator for an electron in a saddle-point potential and a magnetic field. Physical review B: Condensed matter, 39 (6). pp. 3780-3784. ISSN 0163-1829

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Abstract:We study the time-dependent propagator for an electron which moves in a plane and which is subject to quadrupolar electric fields with certain reflection symmetries, and to a uniform magnetic field perpendicular to the plane. It is shown that the electric potential, which has a saddle point at the origin, can be produced by voltages applied to four symmetrically configured cylindrical electrodes whose axes are perpendicular to the plane. We use path-integral methods to derive a closed-form expression for the propagator, and comment in some detail on the structure of its normalization factor.
Item Type:Article
Copyright:© 1989 Institute of Physics
Faculty:
Electrical Engineering, Mathematics and Computer Science (EEMCS)
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Link to this item:http://purl.utwente.nl/publications/61295
Official URL:http://dx.doi.org/10.1103/PhysRevB.39.3780
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Metis ID: 129083