Relativistic confinement of neutral fermions with a trigonometric tangent potential

被引：15

作者：

Castro, Luis B. ^{[1
]}

de Castro, Antonio S. ^{[1
]}

机构：

[1] UNESP, Dept Quim & Fis, BR-12516410 Guaratingueta, SP, Brazil

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2007年 / 40卷 / 02期

关键词：

D O I：

10.1088/1751-8113/40/2/005

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 (similar to tan gamma 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.

引用

页码：263 / 270

页数：8

共 38 条

[1] [Anonymous], 1964, Handbook of mathematical functions
[2] [Anonymous], 1990, RELATIVISTIC QUANTUM
[3] ACCIDENTAL DEGENERACIES AND SUPERSYMMETRIC QUANTUM-MECHANICS
BALANTEKIN, AB
[J]. ANNALS OF PHYSICS, 1985, 164 (02) : 277 - 287
[4] GROUP STRUCTURE OF RELATIVISTIC EQUIVALENT OSCILLATOR
CHAFFIN, EF
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (07) : 977 - 979
[5] POTENTIAL APPROACH TO SPINOR QUARKS
CHO, YM
[J]. NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1974, A 23 (03): : 550 - 556
[6] RELATIVISTIC HARMONIC OSCILLATORS WITH INTRINSIC SPIN STRUCTURE
COOK, PA
[J]. LETTERE AL NUOVO CIMENTO, 1971, 1 (10): : 419 - +
[7] SUPERSYMMETRY AND THE DIRAC-EQUATION
COOPER, F
KHARE, A
MUSTO, R
WIPF, A
[J]. ANNALS OF PHYSICS, 1988, 187 (01) : 1 - 28
[8] Relating pseudospin and spin symmetries through charge conjugation and chiral transformations: The case of the relativistic harmonic oscillator
de Castro, A. S. t
Alberto, P.
Lisboa, R.
Malheiro, M.
[J]. PHYSICAL REVIEW C, 2006, 73 (05):
[9] The peremptory influence of a uniform background for trapping neutral fermions with an inversely linear potential
De Castro, Antonio S.
[J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2006, 21 (11): : 2321 - 2329
[10] Trapping neutral fermions with kink-like potentials
de Castro, AS
Hott, M
[J]. PHYSICS LETTERS A, 2006, 351 (06) : 379 - 383

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