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Электронный каталог: Cherny, A. Yu. - Confinement-Induced Resonance from the Generalized Gross-Pitaevskii Equations
Cherny, A. Yu. - Confinement-Induced Resonance from the Generalized Gross-Pitaevskii Equations
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Статья
Автор: Cherny, A. Yu.
Physical Review A [Electronic resource]: Confinement-Induced Resonance from the Generalized Gross-Pitaevskii Equations
б.г.
ISBN отсутствует
Автор: Cherny, A. Yu.
Physical Review A [Electronic resource]: Confinement-Induced Resonance from the Generalized Gross-Pitaevskii Equations
б.г.
ISBN отсутствует
Статья
Cherny, A.Yu.
Confinement-Induced Resonance from the Generalized Gross-Pitaevskii Equations / A.Yu.Cherny // Physical Review A [Electronic resource]. – 2024. – Vol. 110, No. 2. – P. 023309. – URL: https://doi.org/10.1103/PhysRevA.110.023309. – Bibliogr.: 37.
The confinement-induced resonances for trapped bosons in the cigar-shaped and pancake geometries are studied within the generalized Gross-Pitaevskii equations, which are a simplified version of the Hartree-Fock-Bogoliubov approximation. Although the Hartree-Fock-Bogoliubov method is considered applicable only for small interparticle interactions, the resonance denominators for the chemical potential are obtained in both quasi-one and quasi-two dimensions. A useful integral representation of the one-particle Green's function are found for the cylindrical confinement. We find the position of a smoothed resonance for the chemical potential in the pancake geometry at positive scattering length.
ОИЯИ = ОИЯИ (JINR)2024
Cherny, A.Yu.
Confinement-Induced Resonance from the Generalized Gross-Pitaevskii Equations / A.Yu.Cherny // Physical Review A [Electronic resource]. – 2024. – Vol. 110, No. 2. – P. 023309. – URL: https://doi.org/10.1103/PhysRevA.110.023309. – Bibliogr.: 37.
The confinement-induced resonances for trapped bosons in the cigar-shaped and pancake geometries are studied within the generalized Gross-Pitaevskii equations, which are a simplified version of the Hartree-Fock-Bogoliubov approximation. Although the Hartree-Fock-Bogoliubov method is considered applicable only for small interparticle interactions, the resonance denominators for the chemical potential are obtained in both quasi-one and quasi-two dimensions. A useful integral representation of the one-particle Green's function are found for the cylindrical confinement. We find the position of a smoothed resonance for the chemical potential in the pancake geometry at positive scattering length.
ОИЯИ = ОИЯИ (JINR)2024