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
en Английский
Version for the visually impaired
Author Berdnikov Alexander S.
Submit Your Paper
Latest issues
Berdnikov Alexander S.
  • Affiliation
    Institute for Analytical Instrumentation of the RAS
  • Publications

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