RT info:eu-repo/semantics/article
T1 The momentum distribution of two bosons in one dimension with infinite contact repulsion in harmonic trap gets analytical
A1 Nieto Calzada, Luis Miguel
A1 Ancarani, Lorenzo Ugo
A1 Bencheikh, Kamel
K1 Bosones
K1 Fermión
K1 Bosons
K1 Fermions
K1 22 Física
K1 12 Matemáticas
AB For a harmonically trapped system consisting of two bosons in one spatial dimension with infinite contact repulsion (hard core bosons), we derive an expression for the onebody density matrix ρB in terms of center of mass and relative coordinates of the particles. The deviation from ρF, the density matrix for the two fermions case, can be clearly identified. Moreover, the obtained ρB allows us to derive a closed form expression of the corresponding momentum distribution nB(p). We show how the result deviates from the noninteracting fermionic case, the deviation being associated with the short-range character of the interaction. Mathematically, our analytical momentum distribution is expressed in terms of one and two variables confluent hypergeometric functions. Our formula satisfies the correct normalization and possesses the expected behavior at zero momentum. It also exhibits the high momentum 1/p4 tail with the appropriate Tan’s coefficient. Numerical results support our findings.
PB Springer
SN 2190-5444
YR 2021
FD 2021
LK https://uvadoc.uva.es/handle/10324/48198
UL https://uvadoc.uva.es/handle/10324/48198
LA eng
NO The European Physical Journal Plus, 2021, vol. 136, n. 7, art. 721
NO Producción Científica
DS UVaDOC
RD 24-nov-2024