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Three Identical One-Dimensional Quantum Particles with Point Interaction as a Solvable Model: III. Positive Essential Spectrum. / Лялинов, Михаил Анатольевич.

In: Russian Journal of Mathematical Physics, Vol. 33, No. 2, 01.06.2026, p. 392-406.

Research output: Contribution to journal › Article › peer-review

Harvard

Лялинов, МА 2026, 'Three Identical One-Dimensional Quantum Particles with Point Interaction as a Solvable Model: III. Positive Essential Spectrum.', Russian Journal of Mathematical Physics, vol. 33, no. 2, pp. 392-406. https://doi.org/10.1134/s1061920826600236

APA

Лялинов, М. А. (2026). Three Identical One-Dimensional Quantum Particles with Point Interaction as a Solvable Model: III. Positive Essential Spectrum. Russian Journal of Mathematical Physics, 33(2), 392-406. https://doi.org/10.1134/s1061920826600236

Vancouver

Лялинов МА. Three Identical One-Dimensional Quantum Particles with Point Interaction as a Solvable Model: III. Positive Essential Spectrum. Russian Journal of Mathematical Physics. 2026 Jun 1;33(2):392-406. https://doi.org/10.1134/s1061920826600236

Author

Лялинов, Михаил Анатольевич. / Three Identical One-Dimensional Quantum Particles with Point Interaction as a Solvable Model: III. Positive Essential Spectrum. In: Russian Journal of Mathematical Physics. 2026 ; Vol. 33, No. 2. pp. 392-406.

BibTeX

@article{45aa7904a8cf42219f9e94e0d8657925,
title = "Three Identical One-Dimensional Quantum Particles with Point Interaction as a Solvable Model: III. Positive Essential Spectrum.",
abstract = "This is the third part of our work dealing with spectral analysis for the Hamiltonian of three identical one-dimensional quantum particles. It deals with positive energies and the corresponding generalized eigenfunctions. The asymptotic behavior of the generalized eigenfunctions is studied and interpreted in terms of the diffraction theory.",
author = "Лялинов, {Михаил Анатольевич}",
year = "2026",
month = jun,
day = "1",
doi = "10.1134/s1061920826600236",
language = "English",
volume = "33",
pages = "392--406",
journal = "Russian Journal of Mathematical Physics",
issn = "1061-9208",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "2",

}

RIS

TY - JOUR

T1 - Three Identical One-Dimensional Quantum Particles with Point Interaction as a Solvable Model: III. Positive Essential Spectrum.

AU - Лялинов, Михаил Анатольевич

PY - 2026/6/1

Y1 - 2026/6/1

N2 - This is the third part of our work dealing with spectral analysis for the Hamiltonian of three identical one-dimensional quantum particles. It deals with positive energies and the corresponding generalized eigenfunctions. The asymptotic behavior of the generalized eigenfunctions is studied and interpreted in terms of the diffraction theory.

AB - This is the third part of our work dealing with spectral analysis for the Hamiltonian of three identical one-dimensional quantum particles. It deals with positive energies and the corresponding generalized eigenfunctions. The asymptotic behavior of the generalized eigenfunctions is studied and interpreted in terms of the diffraction theory.

UR - https://www.mendeley.com/catalogue/01898515-c9e6-311d-85e7-200ff543d220/

U2 - 10.1134/s1061920826600236

DO - 10.1134/s1061920826600236

M3 - Article

VL - 33

SP - 392

EP - 406

JO - Russian Journal of Mathematical Physics

JF - Russian Journal of Mathematical Physics

SN - 1061-9208

IS - 2

ER -

ID: 157354392