Motion of an impurity particle in an ultracold quasi-one-dimensional gas of hard-core bosons

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 3, 2009, Pages

  Girardeau, M D ^a   Minguzzi, A ^b  

^a UNIVERSITY OF ARIZONA   (United States)

^b UNIVERSITÉ JOSEPH FOURIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DISTRIBUTION FUNCTIONS; FERMIONS; FLOATING BREAKWATERS;

BOSE-FERMI MIXTURES; CANONICAL TRANSFORMATIONS; COMPOSITE OBJECTS; COUPLING CONSTANTS; DEGREES OF FREEDOMS; ENERGY EIGENSTATES; GRAY SOLITONS; HARD-CORE BOSONS; IMPURITY DISTRIBUTIONS; IMPURITY PARTICLES; INTERACTION STRENGTHS; LINEAR MOMENTUM; MASS RATIOS; ONE DIMENSIONAL (1D) SYSTEM; QUASI ONE-DIMENSIONAL; SECOND QUANTIZATIONS; THERMODYNAMIC LIMITS; ULTRA COLDS;

BOSONS;

EID: 63149126103     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.033610     Document Type: Article

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17. The periodicity interval for sin (k |x|) is [-L,L] rather than [- L 2, L 2] because of the absolute value; nevertheless, the orbitals [Eq. 8] are orthonormal on [- L 2, L 2], and both 1 i / /x and Hamiltonian 7 are Hermitian on this interval, so we evaluate inner products on this interval.