@article{ISI:000184600900006,
 abstract = {We use first-order perturbation theory near the fermionic limit of the
delta-function Bose gas in one dimension (i.e. a system of weakly
interacting fermions) to study three situations of physical interest.
The calculation is done using a pseudopotential which takes the form of
a two-body delta″-function interaction. The three cases considered
are the behaviour of the system with a hard wall, with a point where the
strength of the pseudopotential changes discontinuously, and with a
region of finite length where the pseudopotential strength is non-zero
(this is sometimes used as a model for a quantum wire). In all cases, we
obtain exact expressions for the density to first order in the
pseudopotential strength. The asymptotic behaviour of the densities is
in agreement with the results obtained from bosonization for a
Tomonaga-Luttinger liquid, namely, an interaction dependent power-law
decay of the density far from the hard wall, a reflection from the point
of discontinuity and transmission resonances for the interacting region
of finite length. Our results provide a non-trivial verification of the
Tomonaga-Luttinger liquid description of the delta-function Bose gas
near the fermionic limit.},
 article-number = {PII S0305-4470(03)58456-6},
 author = {Sen, D},
 doi = {10.1088/0305-4470/36/27/305},
 issn = {0305-4470},
 journal = {JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL},
 month = {JUL 11},
 number = {27},
 pages = {7517-7531},
 times-cited = {19},
 title = {The fermionic limit of the delta-function Bose gas: a pseudopotential
approach},
 unique-id = {ISI:000184600900006},
 volume = {36},
 year = {2003}
}