Backflow in relativistic wave equations

被引:15
作者
Bialynicki-Birula, Iwo [1 ]
Bialynicka-Birula, Zofia [2 ]
Augustynowicz, Szymon [3 ]
机构
[1] Polish Acad Sci, Ctr Theoret Phys, Aleja Lotnikow 32-46, PL-02668 Warsaw, Poland
[2] Polish Acad Sci, Inst Phys, Aleja Lotnikow 32-46, PL-02668 Warsaw, Poland
[3] Univ Warsaw, Fac Phys, Pasteura 5, PL-02093 Warsaw, Poland
关键词
backflow; relativistic wave equations; Maxwell equations; Dirac equation; linearized gravity;
D O I
10.1088/1751-8121/ac65c1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show that, contrary to the statements made by many authors, the backflow is not a nonclassical effect. The backflow is a characteristic feature of solutions of the wave equations: quantum and classical. We present simple solutions of the Dirac equation, Maxwell equations and equations of linearized gravity where the backflow phenomenon is clearly seen. In this work we describe backflow in relativistic theories but this phenomenon can occur in the solutions of all kinds of wave equations: quantum and classical.
引用
收藏
页数:13
相关论文
共 21 条
[1]  
Barbier M., 2021, ARXIV210306728
[2]   Quantum backflow, negative kinetic energy, and optical retro-propagation [J].
Berry, M. V. .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2010, 43 (41)
[3]   Exponential beams of electromagnetic radiation [J].
Bialynicki-Birula, Iwo ;
Bialynicka-Birula, Zofia .
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2006, 39 (15) :S545-S553
[4]   Twisted localized solutions of the Dirac equation: Hopfionlike states of relativistic electrons [J].
Bialynicki-Birula, Iwo ;
Bialynicka-Birula, Zofia .
PHYSICAL REVIEW A, 2019, 100 (01)
[5]   Quantum numbers and spectra of structured light [J].
Bialynicki-Birula, Iwo ;
Bialynicka-Birula, Zofia .
PHYSICA SCRIPTA, 2018, 93 (10)
[6]   Relativistic Electron Wave Packets Carrying Angular Momentum [J].
Bialynicki-Birula, Iwo ;
Bialynicka-Birula, Zofia .
PHYSICAL REVIEW LETTERS, 2017, 118 (11)
[7]   Gravitational waves carrying orbital angular momentum [J].
Bialynicki-Birula, Iwo ;
Bialynicka-Birula, Zofia .
NEW JOURNAL OF PHYSICS, 2016, 18
[8]   Quantum fluctuations of geometry in a hot Universe [J].
Bialynicki-Birula, Iwo .
CLASSICAL AND QUANTUM GRAVITY, 2015, 32 (21)
[9]   The role of the Riemann-Silberstein vector in classical and quantum theories of electromagnetism [J].
Bialynicki-Birula, Iwo ;
Bialynicka-Birula, Zofia .
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2013, 46 (05)
[10]   Quantum backflow across a black hole horizon in a toy model approach [J].
Biswas, Dripto ;
Ghosh, Subir .
PHYSICAL REVIEW D, 2021, 104 (10)