SPbPU Journal - Physics and Mathematics
    St. Petersburg Polytechnic University Journal: Physics and MathematicsPeter the Great St. Petersburg Polytechnic University
    Since 2008
    ISSN 2304-9782
    ISSN 2618-8686
    ISSN 2405-7223
    enАнглийский
    Version for the visually impaired
    AuthorAlexander S. Berdnikov
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    Latest issues
    Alexander S. Berdnikov
    Alexander S. Berdnikov
    Affiliation
    Institute for Analytical Instrumentation of the RAS
    Publications
    Orcid ID
    0000-0003-0985-5964

    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
    • 128
    • 9569
    • 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
    • 101
    • 9532
    • 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
    • 29
    • 10278
    • 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
    • 22
    • 9758
    • 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
    • 27
    • 9954
    • 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
    • 25
    • 9575
    • 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
    • 20
    • 9480
    • 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
    • 37
    • 9139
    • 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
    • 8864
    • 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
    • 9030
    • 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
    • 6779
    • 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
    • 28
    • 5499
    • 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
    • 25
    • 4722
    • 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
    • 25
    • 4433
    • 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
    • 35
    • 4386
    • Pages: 94-119

    The influence of field misalignment and electric field asymmetry on the stability zones of a combined ion trap

    Physical electronics
    Berdnikov A. S.Egorova A.V.Krasnova N.K.Masyukevich S.V.Solovyev K.V.
    • Year: 2025
    • Volume: 18
    • Issue: 2
    • 16
    • 4187
    • Pages: 60-68

    An optimized Lanczos Tau-method

    Mathematical physics
    Bulyanitsa A.L.Berdnikov A. S.Evstrapov A.A.
    • Year: 2025
    • Volume: 18
    • Issue: 3
    • 28
    • 3249
    • Pages: 30-48

    Analytical quadrature formulae for electric fields of the RF straight-axis ion funnels of a general type

    Mathematical physics
    Berdnikov A. S.Krasnova N.K.Masyukevich S.V.Podolskaya E.P.Solovyev K.V.
    • Year: 2025
    • Volume: 18
    • Issue: 4
    • 20
    • 1010
    • Pages: 75-100