Liubov Lokot

Tachyons in Schrödinger ket states of two phonons of graphene: some mathematical expressions involving higher transcendental functions, F1000Physics: Condens. Matter; F1000.com/Workspace

Blog Post created by Liubov Lokot on Jul 24, 2017

In the paper we derive some attractive expressions involving such higher transcendental functions as confluent hypergeometric functions and hypergeometric functions for the inner product space with respect to the weighted inner product $\int_{0}^{\infty}e^{-\lambda\,z}z^{\gamma-1}F(\alpha,\gamma,kz)F(\alpha',\gamm a,k'z)dz$. Optical ground states of two phonons in graphene in the vicinity of Dirac point are found. We found the analytical solutions of Schrödinger equations for two coupled phonons in Dirac point of honeycomb lattice. Phonon pair instability for supercritical scaling of honeycomb lattice is predicted via resonant states with complex number energies. It signifies the existing of the tachyon solutions in Schrödinger equations for definition of optical ground states of two phonons of honeycomb lattice.

 

Citation  (bibtex)   [Switch view]

 

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