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Эта публикация цитируется в 3 научных статьях (всего в 3 статьях)
МЕТОДЫ ТЕОРЕТИЧЕСКОЙ ФИЗИКИ
Emergent Weyl fermions and the origin of
$i=\sqrt{-1}$ in quantum mechanics
G. E. Volovikab, M. A. Zubkovcd a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Aalto University, School of Science and Technology
c University of Western Ontario, Department of Mathematics, London, Ontario
d Institute for Theoretical and Experimental Physics (Russian Federation State Scientific Center), Moscow
Аннотация:
Conventional quantum mechanics is described in terms of complex numbers.
However, all physical quantities are real. This indicates, that the appearance
of complex numbers in quantum mechanics may be the emergent phenomenon, i.e.
complex numbers appear in the low energy description of the underlined high
energy theory. We suggest a possible explanation of how this may occur. Namely,
we consider the system of multi-component Majorana fermions. There is a
natural description of this system in terms of real numbers only. In the
vicinity of the topologically protected Fermi point this system is described by
the effective low energy theory with Weyl fermions. These Weyl fermions interact
with the emergent gauge field and the emergent gravitational field.
Поступила в редакцию: 12.03.2014
Образец цитирования:
G. E. Volovik, M. A. Zubkov, “Emergent Weyl fermions and the origin of
$i=\sqrt{-1}$ in quantum mechanics”, Письма в ЖЭТФ, 99:8 (2014), 552–557; JETP Letters, 99:8 (2014), 481–486
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/jetpl3721 https://www.mathnet.ru/rus/jetpl/v99/i8/p552
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Страница аннотации: | 233 | PDF полного текста: | 69 | Список литературы: | 52 | Первая страница: | 13 |
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