Fuzzy onionlike space as a matrix model
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00137959" target="_blank" >RIV/00216224:14310/24:00137959 - isvavai.cz</a>
Result on the web
<a href="https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.105004" target="_blank" >https://journals.aps.org/prd/abstract/10.1103/PhysRevD.109.105004</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1103/PhysRevD.109.105004" target="_blank" >10.1103/PhysRevD.109.105004</a>
Alternative languages
Result language
angličtina
Original language name
Fuzzy onionlike space as a matrix model
Original language description
We propose a matrix model realization of a three-dimensional quantum space. It has an onionlike structure composed of concentric fuzzy spheres of increasing radius. The angular part of the Laplace operator is inherited from that of the fuzzy sphere. The radial part is constructed using operators that relate matrices of various sizes using the matrix harmonic expansion. As an example of this approach, we produce a numerical simulation of a scalar quantum field theory, the classical heat transfer, study the quantummechanical hydrogen atom, and consider some analytical aspects of the scalar field theory on this space.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10308 - Astronomy (including astrophysics,space science)
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Physical review D
ISSN
2470-0010
e-ISSN
2470-0029
Volume of the periodical
109
Issue of the periodical within the volume
10
Country of publishing house
US - UNITED STATES
Number of pages
17
Pages from-to
105004
UT code for WoS article
001236189100004
EID of the result in the Scopus database
2-s2.0-85192331784