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Article
Open AccessSpin-textures of medium-body boson systems with trapped spin-f cold atoms
The spin-textures of bound medium-body systems with spin- \(\mathfrak {f}\) f ...
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Article
Effect of the Singlet Pairing Force on the Spin Structures of 3-Species Bose-Einstein Condensates with Spin-1 Atoms
The spin structures of Bose-Einstein condensates (BEC) with three kinds of spin-1 atoms are studied. The many-body Hamiltonian is diagonalized in the spin space via a strict numerical approach to obtain eigen-...
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Article
Open AccessSpin structures of the ground states of four body bound systems with spin 3 cold atoms
We consider the case that four spin-3 atoms are confined in an optical trap. The temperature is so low that the spatial degrees of freedom have been frozen. Exact numerical and analytical solutions for the spi...
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Article
Open AccessA stable spin-structure found in a 3-body system with spin-3 cold atoms and its role in N-body condensates
We have found a stable spin-structure of N \(=\) = 3 system in which three ...
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Article
Open AccessSpin-structures of the Bose-Einstein condensates with three kinds of spin-1 atoms
We have performed a quantum mechanic calculation (including solving the coupled Gross-Pitaevskii equations to obtain the spatial wave functions, and diagonalizing the spin-dependent Hamiltonian in the spin-spa...
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Article
Spin-Textures of the Condensates with Two Kinds of Spin-1 Atoms Studied Beyond the Single Spatial Mode Approximation
This paper is based on the coupled Gross–Pitaevskii equations (CGP) for two-species BEC, where both the central and spin-dependent forces are included. Under the Thomas–Fermi approximation (TFA), an approach i...
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Article
Common Features in Multi-species Bose–Einstein Condensates and the Origin of the Inherent Critical Phenomena
A general approach is proposed to solve the coupled Gross–Pitaevskii equations (CGP) for K-species Bose–Einstein condensates under the Thomas–Fermi approximation. We aim at finding out the common features of thes...
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Article
Open AccessSingularity in the matrix of the coupled Gross-Pitaevskii equations and the related state-transitions in three-species condensates
An approach is proposed to solve the coupled Gross-Pitaevskii equations (CGP) of the 3-species BEC in an analytical way under the Thomas-Fermi approximation (TFA). It was found that, when the strength of a kin...
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Article
A 2-Level Condensate with Tunable and Sharp Susceptibility Against the Magnetic Field
A 2-level condensate of spin-1 Na atoms under a magnetic field B with its spin modes decoupled from its spatial modes is studied. This system can emerge at very low temperature by putting an atom with its spin do...
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Article
Spin-Thermodynamics of Ultra-Cold Spin-1 Atoms
The spin-thermodynamics of a \(N\) N ...
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Article
Universal Prohibited Zones in the Coordinate Space of Few-Body Systems
In some special zones of the high-dimensional coordinate space of few-body systems with identical particles, the operation of an element (or a product of elements) of the symmetry groups of the Hamiltonian on ...
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Article
Evaluation of the 52Cr–52 Cr Interaction via Spin-Flip Scattering
In order to evaluate g 0, the interaction strength of a pair of 52Cr atoms with total spin S = 0, a specially designed s-wave scattering of the pair has been studied theoretically. Both th...
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Article
Spin-Structures of N-boson Systems with Nonzero Spins: An Analytically Solvable Model with Pairing Force
A model is proposed to study the possible pairing structures of N-boson systems with nonzero spin. Analytical solutions have been obtained. The emphasis is placed on the spin-structures of ground states with a...
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Chapter and Conference Paper
Experimental Study on the Strength Characteristics of Expansive Soil Reinforced With Synthetic Fibers
Expansive soil reinforced with synthetic fibers is a modified method developed in recent years, but experimental study results on its engineering behavior are rare at present. Polypropylence monofilament fiber...
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Chapter and Conference Paper
Experimental Study on the Interaction Mechanism Between Geogrid and Expansive Rock by Pull-Out Test
The interaction mechanism between geogrid and mid-weak swelling rock in the Project of South-to-North Water Transfers Projects is investigated by pull-out tests conducted at the modified laminated shear test a...
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Article
Fractional Aharonov-Bohm oscillation of a two-layer ring with two electrons
When a circular ring suffers a special topological transformation, it becomes a two-layer ring. Due to the special topology of the two-layer ring, orbital angular momenta are allowed to be a half-integer. Thi...
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Article
Modes of Excitation in Two-Dimensional Quantum Dots
The electronic structures of low-lying excited states of a polarized quantum dot with 6 electrons has been studied. The Hamiltonian has been diagonalized to obtain the eigenstates. All results are extracted fr...
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Article
Low-Lying States of Four-Boson Systems with a Repulsive Core and an Attractive Tail in the Interaction
The Schrödinger equation of a four-boson model system is solved via a variational procedure. The pairwise interaction contains a repulsive core and an attractive tail. The features of the low-lying states are...
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Article
Classical-Quantum Correspondencein a Helium-Like System on Conic Sections
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Article
Analysis of the Structure of Low-Lying States of Four-Boson Systems Based on Symmetry
The structure of inherent nodal surfaces of four-boson systems has been investigated. The most probable structures for each low-lying state have been found. A number of predictions on the structures of indivi...