The Operator Group Generated by the One-dimensional Dirac System

被引：0

作者：

Savchuk, A. M. ^{[1
]}

Sadovnichaya, I. V. ^{[1
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2024年 / 45卷 / 09期

关键词：

Dirac operator; summable potential; operator group; equivalent bases; SPECTRAL DECOMPOSITIONS; EQUICONVERGENCE;

D O I：

10.1134/S1995080224605174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we construct a strongly continuous operator group generated by a one-dimensional Dirac operator acting in the space H = (L-2[0, pi])(2). The potential is assumed to be summable. It is proved that this group is well-defined in the space H and in the spaces (L-mu[0, pi])(2), mu is an element of(1, infinity). In addition, we discuss estimates for the growth of the group as |t| -> +infinity.

引用

页码：4582 / 4598

页数：17

共 50 条

[21] On the number of eigenvalues of the discrete one-dimensional Dirac operator with a complex potential
Hulko, Artem
ANALYSIS AND MATHEMATICAL PHYSICS, 2019, 9 (01) : 639 - 654
[22] A SPECTRAL THEORY OF THE ONE-DIMENSIONAL DIRAC OPERATOR WITH A METRICALLY TRANSITIVE POTENTIAL
BONDAREV, AV
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1989, (03): : 3 - 5
[23] Dense point spectrum for the one-dimensional Dirac operator with an electrostatic potential
Schmidt, KM
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1996, 126 : 1087 - 1096
[24] Convergence acceleration of eigenfunction expansions of the one-dimensional dirac system
Barkhudaryan, R.
Numerical Analysis and Applied Mathematics, 2007, 936 : 86 - 89
[25] GLOBAL BIFURCATION OF SOLUTIONS OF NONLINEAR ONE-DIMENSIONAL DIRAC SYSTEM
Rzayeva, Humay Sh.
PROCEEDINGS OF THE INSTITUTE OF MATHEMATICS AND MECHANICS, 2015, 41 (02): : 36 - 46
[26] Impurity scattering in one-dimensional Dirac type fermion system
Yamamoto, H
PHYSICS LETTERS A, 2001, 291 (4-5) : 319 - 324
[27] ONE-DIMENSIONAL COUPLED DIRAC EQUATIONS
GLASSEY, RT
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 231 (02) : 531 - 539
[28] Discretizing the one-dimensional Dirac equation
Wessels, PPF
Caspers, WJ
Wiegel, FW
EUROPHYSICS LETTERS, 1999, 46 (02): : 123 - 126
[29] On positive operator-valued measures generated by a family of one-dimensional projectors
Amosov, G. G.
Baranov, A. D.
Kronberg, D. A.
ANNALS OF FUNCTIONAL ANALYSIS, 2024, 15 (03)
[30] Collisionless intraband absorption in a system of one-dimensional massless Dirac electrons
Chaplik, A. V.
JETP LETTERS, 2014, 99 (06) : 346 - 348

← 1 2 3 4 5 →