Spectral properties of the massless relativistic quartic oscillator

An explicit solution of the spectral problem of the non-local Schrodinger operator obtained as the sum of the square root of the Laplacian and a quartic potential in one dimension is presented. The eigenvalues are obtained as zeroes of special functions re- lated to the fourth order Airy function, a...

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Bibliographic Details
Main Authors: Samuel O. Durugo, Jozsef Lorinczi
Format: Default Article
Published: 2017
Subjects:
Other mathematical sciences not elsewhere classified
Fractional Laplacian
Non-local Schrodinger operator
Higher order Airy functions
Cauchy process
Relativistic quantum oscillators
Mathematical Sciences not elsewhere classified
Online Access:https://hdl.handle.net/2134/27631
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