Heun Functions Describing Fermions Evolving in Parallel Electric and Magnetic Fields

doi:10.1088/0256-307X/32/7/071101

Chin. Phys. Lett.

2015, Vol. 32

Issue (07): 071101 DOI: 10.1088/0256-307X/32/7/071101

THE PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Heun Functions Describing Fermions Evolving in Parallel Electric and Magnetic Fields

MARINA–AURA Dariescu^**, CIPRIAN Dariescu

Faculty of Physics, Alexandru Ioan Cuza University, Iaşi 700506, Romania

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MARINA–AURA Dariescu, CIPRIAN Dariescu 2015 Chin. Phys. Lett. 32 071101

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Abstract The present work deals with the behavior of fermions moving in a static magnetic induction and a time-harmonic electric field, both oriented along Oz. For the ultra-relativistic particles described by a Heun double confluent equation, we derive the corresponding wave functions and the conserved current density components.

Received: 17 December 2014 Published: 30 July 2015

PACS:	11.15.-q	(Gauge field theories)
	11.40.-q	(Currents and their properties)
	31.30.J-	(Relativistic and quantum electrodynamic (QED) effects in atoms, molecules, and ions)

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