Weakly Bound States in Heterogeneous Waveguides: A Calculation to Fourth Order

• Authors: P. Amore
• Languages of publication: EN

Abstracts

EN

We have extended a previous calculation of the energy of a weakly heterogeneous waveguide to fourth order in the density perturbation, deriving its general expression. For particular configurations where the second and third orders both vanish, we discover that the fourth order contribution lowers in general the energy of the state, below the threshold of the continuum. In these cases the waveguide possesses a localized state. We have applied our general formula to a solvable model with vanishing second and third orders reproducing the exact expression for the fourth order.

Keywords

EN

trapped modes; bound states; deformed waveguide; perturbation theory

• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 4
• Pages: 1351-1357

Dates

published

2017-10

received

2017-01-23

(unknown)

2017-09-25

Contributors

author

P. Amore

• Facultad de Ciencias, CUICBAS, Universidad de Colima, Bernal Díaz del Castillo 340, Colima, Colima, Mexico

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Identifiers

DOI

10.12693/APhysPolA.132.1351