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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Point bosons in a one-dimensional box: the ground state, excitations and thermodynamics
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Point bosons in a one-dimensional box: the ground state, excitations and thermodynamics

机译：一维盒子中的玻色子点：基态，激发和热力学

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摘要

We determine the ground-state energy and the effective dispersion law for a one-dimensional system of point bosons under zero boundary conditions. The ground-state energy is close to the value for a periodic system. However, the dispersion law is essentially different from that for a periodic system, if the coupling is weak (weak interaction or high concentration) or intermediate. We propose also a new method for construction of the thermodynamics for a gas of point bosons. It turns out that the difference in the dispersion laws of systems with periodic and zero boundary conditions does not lead to a difference in the thermodynamic quantities. In addition, under zero boundary conditions, the microscopic sound velocity does not coincide with the macroscopic one. This means that either the method of determination of k in the dispersion law E(k) is unsuitable or the low-energy excitations are not phonons.
机译：我们确定零边界条件下一维点玻色子的基态能量和有效色散定律。基态能量接近周期系统的值。但是，如果耦合较弱（弱相互作用或高浓度）或中间，则色散定律与周期系统的色散定律本质上不同。我们还提出了一种构造点玻色子气体热力学的新方法。结果表明，具有周期性边界条件和零边界条件的系统的扩散规律的差异不会导致热力学量的差异。另外，在零边界条件下，微观声速与宏观声速不一致。这意味着要么在色散律E（k）中确定k的方法不合适，要么低能激发不是声子。

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