Crossover from One to Three Dimensions for a Gas of Hard-Core Bosons

Physical Review Letters

Volumn 89, Issue 11, 2002, Pages

  Das, Kunal K ^a   Girardeau, M D ^a   Wright, E M ^a  

^a University of Arizona   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRON TRAPS; FERMIONS; GROUND STATE; HAMILTONIANS; INTEGRAL EQUATIONS; IONIZATION; LAPLACE TRANSFORMS; MAGNETIZATION; NONLINEAR EQUATIONS; VARIATIONAL TECHNIQUES; WAVEGUIDES;

FERMI PSEUDOPOTENTIAL INTERACTION; FERMIONIZATION; HARD-CORE BOSONS; LIEB-LINIGER SYSTEM; TRAP POTENTIAL;

ELECTRON GAS;

EID: 0037048364     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.110402     Document Type: Article

References (23)

1. E. Lieb and R. Seiringer, Phys. Rev. Lett.10.1103/PhysRevLett.88.170409 88, 170409 (2002).
2. E.H. Lieb and W. Liniger, Phys. Rev.10.1103/PhysRev.130.1605 130, 1605 (1963).
3. M. Girardeau, J. Math. Phys. (N.Y.) 1, 516 (1960);
4. M. GirardeauPhys. Rev. 139, B500 (1965).
5. A. Lenard, J. Math. Phys. (N.Y.) 7, 1268 (1966).
6. M.D. Girardeau, E.M. Wright, and J.M. Triscari, Phys. Rev. A10.1103/PhysRevA.63.033601 63, 033601 (2001).
7. M. T. Depue et al, Phys. Rev. Lett.10.1103/PhysRevLett.82.2262 82, 2262 (1999).
8. K. Bongs et al, Phys. Rev. A10.1103/PhysRevA.63.031602 63, 031602 (2001).
9. A. Gorlitz et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.130402 87, 130402 (2001).
10. M. Greiner et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.160405 87, 160405 (2001).
11. M. Olshanii, Phys. Rev. Lett.10.1103/PhysRevLett.81.938 81, 938 (1998).
12. D.S. Petrov et al, Phys. Rev. Lett.10.1103/PhysRevLett.85.3745 85, 3745 (2000).
13. V. Dunjko, V. Lorent, and M. Olshanii, Phys. Rev. Lett.10.1103/PhysRevLett.86.5413 86, 5413 (2001).
14. E.M. Wright et al, Phys. Rev. A10.1103/PhysRevA.63.013608 63, 013608 (2000).
15. J.A. Sauer et al, Phys. Rev. Lett.10.1103/PhysRevLett.87.270401 87, 270401 (2001).
16. K. Huang, Int. J. Mod. Phys. (Singapore) A4, 1037 (1989).
17. K. Huang and P. Tommasini, J. Res. Natl. Inst. Stand. Technol. 101, 435 (1996).
18. Kunal K. Das, cond-mat/0107001 v3 (2002).
19. M.D. Girardeau and E.M. Wright, Phys. Rev. Lett.10.1103/PhysRevLett.87.210401 87, 210401 (2001).
20. M. Girardeau and R. Arnowitt, Phys. Rev.10.1103/PhysRev.113.755 113, 755 (1959).
21. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions (Dover Publications, New York, 1972).
22. D. Baye and P.-H. Heenan, J. Phys. AJPHAC5 19, 2041 (1986).
23. The functions (Formula presented) and (Formula presented) for (Formula presented) are made available by V. Dunjko and M. Olshanii at http://physics.usc.edu/olshanii/DIST/.