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arXiv:quant-ph/0309116 · International Journal of Theoretical Physics

Eigenvalue Spectrum of a Dirac Particle in Static and Spherical Complex Potential

Kh. Saaidi, Khaled Saaidi

Published Apr 1, 2004• 1 citation
arXivHTMLPDF
DOI
10.1023/b:ijtp.0000048593.26103.a7

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By employing an exponential-type approximation scheme to replace the centrifugal term, we have approximately solved the Dirac equation for a spin-1/2 particle subjected to complex parity–time-symmetric scalar and vector Pöschl–Teller (PT) potentials with arbitrary spin–orbit -wave states in view of spin and pseudospin (p-spin) symmetries. The real bound-state energy eigenvalue equation and the corresponding two-spinor components wave function expressible in terms of hypergeometric functions are obtained by means of wave function analysis. The spin- Dirac equation and the spin-0 Klein–Gordon equation with complex PT potentials share the same energy spectrum under the choice of (i.e. exact spin and p-spin symmetries).
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