Second quantization in a waveguide with variable cross section |
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Authors: | M Razavy |
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Institution: | (1) Theoretical Physics Institute, Department of Physics, University of Alberta, T6G 2J1 Edmonton, Alberta, Canada |
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Abstract: | The motion of a system consisting of noninteracting bosons in a waveguide with variable cross section is studied. These particles
have transverse as well as longitudinal degrees of freedom, but only a finite number of transverse modes can propagate in
the waveguide. While for a waveguide with constant cross section, the numbers of particles in a given state of longitudinal
and transverse modes remain constant, in the case of a waveguide with variable cross section there is conversion between these
modes, although the total number of particles is conserved. By considering the equations of motion for the annihilation (or
creation) operator, it is shown that the boundaries act as an external force, and thus generate localized transverse modes
in the waveguide. |
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Keywords: | |
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