Fermion-Boson Duality of One-Dimensional Quantum Particles with Generalized Contact Interactions

Fermion-Boson Duality of One-Dimensional Quantum Particles with Generalized Contact Interactions
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DOI:
10.1103/physrevlett.82.2536
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发表时间:
1998-06
影响因子:
8.6
通讯作者:
T. Cheon;T. Cheon;T. Shigehara
T. Cheon;T. Cheon;T. Shigehara
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
T. Cheon;T. Cheon;T. Shigehara

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对于无自旋的一维费米子系统,两体相互作用的非零短程极限导致波函数不连续。我们证明了这个费米子系统和玻色子粒子系统的等价性与两体$\ensuremath{\delta}$-函数相互作用的强弱耦合的逆转的作用。
For a system of spinless one-dimensional fermions, the nonvanishing short-range limit of a two-body interaction is shown to induce the wave-function discontinuity. We prove the equivalence of this fermionic system and the bosonic particle system with a two-body $\ensuremath{\delta}$-function interaction with the reversed role of strong and weak couplings.