Darboux transformations and reality conditions for stationary Dirac and Klein-Gordon equations in one dimension

被引：3

作者：

Schulze-Halberg, Axel ^{[1
]}

机构：

[1] Indiana Univ Northwest, Dept Math & Actuarial Sci, Dept Phys, 3400 Broadway, Gary, IN 46408 USA

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2022年 / 37卷 / 13期

关键词：

Dirac equation; Klein-Gordon equation; Darboux transformation; reality condition; generalized Wronskian; SUPERSYMMETRY; PENETRABILITY; SYSTEMS;

D O I：

10.1142/S0217751X22500804

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

We construct new Darboux transformations for one-dimensional stationary Dirac and Klein-Gordon equations. The transformed solutions and potentials are expressed in closed form through generalized Wronskians. A reality condition for the transformed potentials is derived.

引用

页数：25

共 50 条

[1] A new proof of global existence for the Dirac Klein-Gordon equations in one space dimension
Bournaveas, N
JOURNAL OF FUNCTIONAL ANALYSIS, 2000, 173 (01) : 203 - 213
[2] Quadratic Klein-Gordon equations with a potential in one dimension
Germain, Pierre
Pusateri, Fabio
FORUM OF MATHEMATICS PI, 2022, 10
[3] Potentials for the Klein-Gordon and Dirac Equations
Sharma, Lalit K.
Luhanga, Pearson V.
Chimidza, Samuel
CHIANG MAI JOURNAL OF SCIENCE, 2011, 38 (04): : 514 - 526
[4] Dual Klein-Gordon and Dirac equations
Kirchanov, V. S.
RUSSIAN PHYSICS JOURNAL, 2012, 55 (06) : 718 - 721
[5] ON THE DIRAC-KLEIN-GORDON EQUATIONS IN ONE SPACE DIMENSION
Fang, Yung-fu
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2004, 17 (11-12) : 1321 - 1346
[6] Klein-Gordon and Dirac Equations with Thermodynamic Quantities
Arda, Altug
Tezcan, Cevdet
Sever, Ramazan
FEW-BODY SYSTEMS, 2016, 57 (02) : 93 - 101
[7] A discrete scheme for the Dirac and Klein-Gordon equations
Campos, RG
Pimental, LO
PHYSICS LETTERS A, 2000, 266 (2-3) : 98 - 105
[8] KLEIN-GORDON AND DIRAC EQUATIONS IN GENERAL RELATIVITY
CALLAWAY, J
PHYSICAL REVIEW, 1958, 112 (01): : 290 - 290
[9] Moving potential for Dirac and Klein-Gordon equations
Hamil, B.
Chetouani, L.
PRAMANA-JOURNAL OF PHYSICS, 2016, 86 (04): : 737 - 746
[10] INSTABILITY OF THE STANDING WAVES FOR THE NONLINEAR KLEIN-GORDON EQUATIONS IN ONE DIMENSION
Wu, Yifei
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2023, 376 (06) : 4085 - 4103

← 1 2 3 4 5 →