The essential spectrum of the schrödinger operator for a three-particle system with masses m1 = M2 = c∞ and m3 < ∞

Muminov , Zahriddin

Innovations in Science and Technologies · 2025-yil

Annotatsiya

We consider a family of parameter-dependent discrete Schrödinger operators corresponding to the Hamiltonian ofa system of three arbitrary particles (either fermions or bosons) with masses m₁ = m₂ = ∞ and m3 <o, on the integer lattice, Z3. The interactions ofparticles are describedvia zero-range attractive forces. Using the direct-integral decomposition method, the threeparticle problem is reduced to the study of simpler two-particle Schrödinger operators, called the channel (or fiber) operators. Using the channel operators, wefind that the essential spectrum consists of a finite union of real segments.

Maqola ma’lumotlari
MualliflarMuminov , Zahriddin
JurnalInnovations in Science and Technologies
NashriyotТошкент давлат иқтисодиёт университети
ISSN3030-3451
Nashr sanasi2025-06-15
Jild2
Son6
Betlar678-687
TilIngliz
Ilmiy sohaIqtisodiyot
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

Schrödinger operator, spectrum, essential spectrum, Fredholm determinant.

Ilmiy soha

Iqtisodiyot

Iqtibos keltirish

APAMuminov , Zahriddin (2025). THE ESSENTIAL SPECTRUM OF THE SCHRÖDINGER OPERATOR FOR A THREE-PARTICLE SYSTEM WITH MASSES m1 = M2 = c∞ AND m3 < ∞. Innovations in Science and Technologies, 2(6), 678-687. https://innoist.uz/index.php/ist/article/view/1052
GOST (OAK)Muminov , Zahriddin THE ESSENTIAL SPECTRUM OF THE SCHRÖDINGER OPERATOR FOR A THREE-PARTICLE SYSTEM WITH MASSES m1 = M2 = c∞ AND m3 < ∞ // Innovations in Science and Technologies. – 2025. – T. 2, № 6. – P. 678-687.
MLAMuminov , Zahriddin. “THE ESSENTIAL SPECTRUM OF THE SCHRÖDINGER OPERATOR FOR A THREE-PARTICLE SYSTEM WITH MASSES m1 = M2 = c∞ AND m3 < ∞.” Innovations in Science and Technologies, 2(6), 678-687, 2025. https://innoist.uz/index.php/ist/article/view/1052
ChicagoMuminov , Zahriddin. “THE ESSENTIAL SPECTRUM OF THE SCHRÖDINGER OPERATOR FOR A THREE-PARTICLE SYSTEM WITH MASSES m1 = M2 = c∞ AND m3 < ∞.” Innovations in Science and Technologies, 2(6), 678-687 (2025). https://innoist.uz/index.php/ist/article/view/1052
HarvardMuminov , Zahriddin (2025) ‘THE ESSENTIAL SPECTRUM OF THE SCHRÖDINGER OPERATOR FOR A THREE-PARTICLE SYSTEM WITH MASSES m1 = M2 = c∞ AND m3 < ∞’, Innovations in Science and Technologies, 2(6), 678-687. https://innoist.uz/index.php/ist/article/view/1052
BibTeX
@article{muminovzahriddin2025,
  title = {THE ESSENTIAL SPECTRUM OF THE SCHRÖDINGER OPERATOR FOR A THREE-PARTICLE SYSTEM WITH MASSES m1 = M2 = c∞ AND m3 < ∞},
  author = {Muminov , Zahriddin},
  journal = {Innovations in Science and Technologies},
  year = {2025},
  volume = {2},
  number = {6},
  pages = {678-687},
  url = {https://innoist.uz/index.php/ist/article/view/1052}
}

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