2006/11/06 by Luis B. Castro, Antonio S. de Castro · 16 citations
Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Fermion #Geometry #Mathematical analysis #Mathematical physics #Mathematics #Nuclear physics research studies #Physics #Pseudoscalar #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #Space (punctuation) #Tangent #Trigonometric functions #Trigonometry #hep-th #quant-ph
paper · pdf · doi:10.1088/1751-8113/40/2/005
published in Journal of Physics A Mathematical and Theoretical 40(2), 263-270 (Institute of Physics) · 12 pages
arxiv created 2006/11/06 · openalex publication_date 2006/12/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
The problem of neutral fermions subject to a pseudoscalar potential is investigated. Apart from the solutions for E = ± mc 2 , the problem is mapped into the Sturm–Liouville equation. The case of a singular trigonometric tangent potential (∼tan γ x ) is exactly solved and the complete set of solutions is discussed in some detail. It is revealed that this intrinsically relativistic and true confining potential is able to localize fermions into a region of space arbitrarily small without the menace of particle–antiparticle production.