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Center for Nonlinear Studies |
A quantum particle confined within a rod feels the bending of the axis of that rod via the induced quantum effective potential. As a result the quantum motion is coupled with the solutions of the classical equations of motion for this rod. The Kirchhoff model of a rod gives the conformation dynamics which allows for curvature based solitary waves. Applying this to the problem of electron transport, this permits us to formalize and quantify the concept of a "conformon" (including a trapped electron wave packet) that has been hypothesized in biology. We present a microscopic mechanism of the above. Another interesting application represents the open tight trefoil knot whose curvature profile induces a quantum two-well potential for a particle trapped in its interior, namely the knot acts as a qubit. A collection of knots on a quantum wire may be used for quantum computation. The same is valid for the closed trefoil knot which may also be used as a simulation of a one dimensional solid.
Host: Avadh Saxena