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SPbPU Journal - Physics and Mathematics
St. Petersburg Polytechnic University Journal: Physics and Mathematics
Peter the Great St. Petersburg Polytechnic University
Since 2008
ISSN 2304-9782
ISSN 2618-8686
ISSN 2405-7223
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Author
Berdnikov Alexander S.
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Latest issues
2025
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Volume 18
Issue 1.1
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2025
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Volume 18
Issue 1
2024
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Volume 17
Issue 4
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2024
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Volume 17
Issue 3.2
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Berdnikov Alexander S.
Affiliation
Institute for Analytical Instrumentation of the RAS
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Publications
Orcid ID
Quasi-polynomial 3D electric and magnetic potentials homogeneous in Euler’s sense
Physical electronics
Berdnikov A. S.
Averin I. A.
Krasnova N.K.
Solovyev K.V.
Year: 2017
Volume: 10
Issue: 1
127
7414
Pages: 71-80
On the quasi-polynomial 3D potentials of electric and magnetic fields
Physical electronics
Krasnova N.K.
Berdnikov A. S.
Solovyev K.V.
Averin I. A.
Year: 2017
Volume: 10
Issue: 1
97
7388
Pages: 81-92
Generalization of the pseudopotential concept for radio-frequency quadrupole fields
Physical electronics
Berdnikov A. S.
Gall L.N.
Gall N.R.
Solovyev K.V.
Year: 2018
Volume: 11
Issue: 3
27
7996
Pages: 52-64
Generalization of the Thomson formula for general harmonic functions
Mathematical physics
Berdnikov A. S.
Gall L.N.
Gall N.R.
Solovyev K.V.
Year: 2019
Volume: 12
Issue: 2
21
7496
Pages: 32-48
Generalization of the Thomson formula for homogeneous harmonic functions
Mathematical physics
Berdnikov A. S.
Gall L.N.
Gall N.R.
Solovyev K.V.
Year: 2019
Volume: 12
Issue: 2
25
7595
Pages: 49-62
Basic Donkin's differential operators for homogeneous harmonic functions
Mathematical physics
Berdnikov A. S.
Gall L.N.
Gall N.R.
Solovyev K.V.
Year: 2019
Volume: 12
Issue: 3
24
7267
Pages: 26-44
Donkin's differential operators for homogeneous harmonic functions
Mathematical physics
Berdnikov A. S.
Gall L.N.
Gall N.R.
Solovyev K.V.
Year: 2019
Volume: 12
Issue: 3
18
7356
Pages: 45-62
Mutually homogeneous functions with finite-sized matrices
Mathematical physics
Berdnikov A. S.
Solovyev K.V.
Krasnova N.K.
Year: 2020
Volume: 13
Issue: 1
35
6761
Pages: 42-53
Chains of fundamental mutually homogeneous functions with a common real eigenvalue
Mathematical physics
Berdnikov A. S.
Solovyev K.V.
Krasnova N.K.
Year: 2020
Volume: 13
Issue: 2
35
6695
Pages: 53-71
General formulas for chains of fundamental mutually homogeneous functions with a common pair of complex conjugate eigenvalues
Mathematical physics
Berdnikov A. S.
Solovyev K.V.
Krasnova N.K.
Year: 2020
Volume: 13
Issue: 2
34
6731
Pages: 72-88
Visualization of the 3D stability zone of a quadrupole mass filter in the static longitudinal magnetic field
Physical electronics
Berdnikov A. S.
Krasnova N.K.
Masyukevich S.V.
Solovyev K.V.
Year: 2022
Volume: 15
Issue: 2
38
4458
Pages: 26-33
A numerical algorithm for constructing polynomials deviating least from zero with a given weight
Mathematics
Berdnikov A. S.
Solovyev K.V.
Year: 2023
Volume: 16
Issue: 2
25
3256
Pages: 146-160
Analytical study of operating modes of RF ion funnels in the gas dynamic interfaces of tandem triple-quadrupole mass-spectrometers
Physical electronics
Sysoev A.A.
Berdnikov A. S.
Masyukevich S.V.
Solovyev K.V.
Krasnova N.K.
Year: 2023
Volume: 16
Issue: 4
19
2481
Pages: 134-145
On associated homogeneous Gelfand functions
Mathematical physics
Berdnikov A. S.
Bulyanitsa A.L.
Solovyev K.V.
Year: 2024
Volume: 17
Issue: 2
21
2060
Pages: 39-60
Analytical electric potentials for simulation of the multipole radiofrequency ion funnels with nonlinear profiles
Physical electronics
Berdnikov A. S.
Masyukevich S.V.
Pomozov T.V.
Hasin Yu.I.
Solovyev K.V.
Year: 2024
Volume: 17
Issue: 2
29
2059
Pages: 94-119
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