2026-04-27T19:52:02Zhttps://uvadoc.uva.es/oai/request

oai:uvadoc.uva.es:10324/481982022-07-18T09:33:05Zcom_10324_32197com_10324_952com_10324_894col_10324_32199

The momentum distribution of two bosons in one dimension with infinite contact repulsion in harmonic trap gets analytical Nieto Calzada, Luis Miguel Ancarani, Lorenzo Ugo Bencheikh, Kamel Producción Científica 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. 2021-08-30T08:33:15Z 2021-08-30T08:33:15Z 2021 info:eu-repo/semantics/article The European Physical Journal Plus, 2021, vol. 136, n. 7, art. 721 2190-5444 https://uvadoc.uva.es/handle/10324/48198 10.1140/epjp/s13360-021-01671-x 7 The European Physical Journal Plus 136 2190-5444 eng https://link.springer.com/article/10.1140/epjp/s13360-021-01671-x info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ © 2021 The Authors Atribución 4.0 Internacional Springer SI