Exact Solutions of the Diffusion-Reaction Equation for a Coupled Shifted Harmonic Oscillator

Select Volume / Issue:

• Volume 2,Issue 3,May 2014

Year:

2014

Type of Publication:

Article

Keywords:

D-R equation, Complex Hamiltonian, Eigenvalues and Eigenfunctions

Authors:

Ram Mehar Singh

Journal:

IJISM

Volume:

2

Number:

3

Pages:

320-323

Month:

May

Abstract:

We investigate the quasi-exact solutions of the diffusion-reaction equation for two dimensional non-hermitian Hamiltonian systems with in the frame work of extended complex phase space characterized by x=x_1+p_3 , p_x=p_1+x_(3 ), y=x_2+p_4 , p_y=p_2+x_(4 ). Analyticity property of the complex Hamiltonian system is exploited to obtain the explicit expressions for eigenvalues and eigenfunctions for a complex shifted harmonic potential and its PT-symmetric version.

Full text: IJISM_174_Final.pdf [Bibtex]