-
1
-
-
36849136337
-
-
M. Girardeau, J. Math. Phys. 1 (1960) 516, for the case of non-zero hard core diameter see footnote 7 (a).
-
(1960)
J. Math. Phys.
, vol.1
, pp. 516
-
-
Girardeau, M.1
-
2
-
-
36149022965
-
-
M.D. Girardeau, Phys. Rev. 139 (1965) B500, particularly Sections 2, 3, and 6.
-
(1965)
Phys. Rev.
, vol.139
-
-
Girardeau, M.D.1
-
6
-
-
33646180480
-
-
K. Bongs, et al., Phys. Rev. A 63 (2001) 031602.
-
(2001)
Phys. Rev. A
, vol.63
, pp. 031602
-
-
Bongs, K.1
-
18
-
-
0942299551
-
-
H. Moritz, T. Stöferle, M. Köhl, T. Esslinger, Phys. Rev. Lett. 91 (2003) 250402.
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 250402
-
-
Moritz, H.1
Stöferle, T.2
Köhl, M.3
Esslinger, T.4
-
22
-
-
10644264728
-
-
Available from: 〈arXiv:cond-mat/0402149〉 Les Houches, April 2003, to be published
-
M.G. Moore, T. Bergman, M. Olshanii. Available from: 〈arXiv:cond- mat/0402149〉 2004, Proceedings of Euro Summer School on Quantum Gases in Low Dimensions, Les Houches, April 2003, to be published.
-
(2004)
Proceedings of Euro Summer School on Quantum Gases in Low Dimensions
-
-
Moore, M.G.1
Bergman, T.2
Olshanii, M.3
-
24
-
-
0004140790
-
-
Cambridge University Press, Cambridge
-
V.E. Korepin, N.M. Bogoliubov, A.G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge University Press, Cambridge, 1993.
-
(1993)
Quantum Inverse Scattering Method and Correlation Functions
-
-
Korepin, V.E.1
Bogoliubov, N.M.2
Izergin, A.G.3
-
27
-
-
4243652522
-
-
T. Cheon, T. Shigehara, Phys. Lett. A 243 (1998) 111; Phys. Rev. Lett. 82 (1999) 2536.
-
(1999)
Phys. Rev. Lett.
, vol.82
, pp. 2536
-
-
-
30
-
-
1442282361
-
-
G.E. Astrakharchik, D. Blume, S. Giorgini, B.E. Granger, Phys. Rev. Lett. 92 (2004) 030402.
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 030402
-
-
Astrakharchik, G.E.1
Blume, D.2
Giorgini, S.3
Granger, B.E.4
-
33
-
-
0035820947
-
-
J.L. Roberts, N.R. Claussen, S.L. Cornish, E.A. Donley, E.A. Cornell, C.E. Wieman, Phys. Rev. Lett. 86 (2001) 4211.
-
(2001)
Phys. Rev. Lett.
, vol.86
, pp. 4211
-
-
Roberts, J.L.1
Claussen, N.R.2
Cornish, S.L.3
Donley, E.A.4
Cornell, E.A.5
Wieman, C.E.6
-
34
-
-
0037422945
-
-
C.A. Regal, C. Ticknor, J.L. Bohn, D.S. Jin, Phys. Rev. Lett. 90 (2003) 053201.
-
(2003)
Phys. Rev. Lett.
, vol.90
, pp. 053201
-
-
Regal, C.A.1
Ticknor, C.2
Bohn, J.L.3
Jin, D.S.4
-
35
-
-
10644287228
-
-
note
-
This follows from the low-energy limit of Eq. (19) of [21] which includes transverse zero-point energy ℏω⊥, so zero longitudinal energy implies E = ℏhω⊥.
-
-
-
-
36
-
-
10644263895
-
-
M.D. Girardeau, M. Olshanii. Available from: 〈arXiv:cond-mat/ 0309396〉, 2003
-
M.D. Girardeau, M. Olshanii. Available from: 〈arXiv:cond-mat/ 0309396〉, 2003.
-
-
-
-
37
-
-
0003957510
-
-
Cambridge University Press
-
E.T. Whittaker, G.N. Watson, A Course of Modern Analysis, Cambridge University Press, 1952, pp. 265-269. Particularly the top equation on p. 269, which applies to the case here, where the first argument of the Hurwitz zeta function is negative. See also www.itu.dk/bibliotek/encyclopedia/math/h/h393.htm and references therein.
-
(1952)
A Course of Modern Analysis
, pp. 265-269
-
-
Whittaker, E.T.1
Watson, G.N.2
-
38
-
-
10644248528
-
-
and references therein
-
E.T. Whittaker, G.N. Watson, A Course of Modern Analysis, Cambridge University Press, 1952, pp. 265-269. Particularly the top equation on p. 269, which applies to the case here, where the first argument of the Hurwitz zeta function is negative. See also www.itu.dk/bibliotek/encyclopedia/math/h/h393.htm and references therein.
-
-
-
-
43
-
-
0037428598
-
-
D.M. Gangardt, G.V. Shlyapnikov, Phys. Rev. Lett. 90 (2003) 010401; New J. Phys. 5 (2003) 79.
-
(2003)
New J. Phys.
, vol.5
, pp. 79
-
-
-
45
-
-
1942507351
-
-
N.M. Bogoliubov, C. Malyshev, R.K. Bullough, J. Timonen, Phys. Rev. A 69 (2004) 023619.
-
(2004)
J. Timonen, Phys. Rev. A
, vol.69
, pp. 023619
-
-
Bogoliubov, N.M.1
Malyshev, C.2
Bullough, R.K.3
-
47
-
-
4243680114
-
-
K.V. Kheruntsyan, D.M. Gangardt, P.D. Drummond, G.V. Shlyapnikov, Phys. Rev. Lett. 91 (2003) 040403.
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 040403
-
-
Kheruntsyan, K.V.1
Gangardt, D.M.2
Drummond, P.D.3
Shlyapnikov, G.V.4
-
49
-
-
69349106149
-
-
G.E. Astrakharchik, D. Blume, S. Giorgini, L.P. Pitaevskii, Phys. Rev. Lett. 93 (2004) 050402.
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 050402
-
-
Astrakharchik, G.E.1
Blume, D.2
Giorgini, S.3
Pitaevskii, L.P.4
-
51
-
-
1442355801
-
-
G.P. Berman, F. Borgonovi, F.M. Izrailev, A. Smerzi, Phys. Rev. Lett. 92 (2004) 030404.
-
(2004)
Phys. Rev. Lett.
, vol.92
, pp. 030404
-
-
Berman, G.P.1
Borgonovi, F.2
Izrailev, F.M.3
Smerzi, A.4
-
54
-
-
33847010542
-
-
Note II
-
A. Bijl, Physica 4 (1937) 329, Note II.
-
(1937)
Physica
, vol.4
, pp. 329
-
-
Bijl, A.1
-
62
-
-
2542430159
-
-
B. Paredes, et al., Nature 429 (2004) 277.
-
(2004)
Nature
, vol.429
, pp. 277
-
-
Paredes, B.1
-
66
-
-
0002558504
-
-
H.G. Vaidya, C.A. Tracy, Phys. Rev. Lett. 42 (1979) 3; See also corrected expansions in M. Jimbo, T. Miwa, Y. Mori, M. Sato, Physica D 1 (1980) 80.
-
(1979)
Phys. Rev. Lett.
, vol.42
, pp. 3
-
-
Vaidya, H.G.1
Tracy, C.A.2
-
67
-
-
2342488264
-
-
H.G. Vaidya, C.A. Tracy, Phys. Rev. Lett. 42 (1979) 3; See also corrected expansions in M. Jimbo, T. Miwa, Y. Mori, M. Sato, Physica D 1 (1980) 80.
-
(1980)
Physica D
, vol.1
, pp. 80
-
-
Jimbo, M.1
Miwa, T.2
Mori, Y.3
Sato, M.4
-
70
-
-
0004185859
-
-
Oliver and Boyd, Edinburgh and London
-
A.C. Aitken, Determinants and Matrices, Oliver and Boyd, Edinburgh and London, 1951, p. 112.
-
(1951)
Determinants and Matrices
, pp. 112
-
-
Aitken, A.C.1
-
73
-
-
0034246729
-
-
E.B. Kolomeisky, T.J. Newman, Joseph P. Straley, Xiaoya Qi, Phys. Rev. Lett. 85 (2000) 1146.
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 1146
-
-
Kolomeisky, E.B.1
Newman, T.J.2
Straley, J.P.3
Qi, X.4
-
75
-
-
4243458160
-
-
P.J. Forrester, N.E. Frankel, T.M. Garoni, N.S. Witte, Phys. Rev. A 67 (2003) 043607.
-
(2003)
Phys. Rev. A
, vol.67
, pp. 043607
-
-
Forrester, P.J.1
Frankel, N.E.2
Garoni, T.M.3
Witte, N.S.4
-
79
-
-
10644262558
-
-
online by
-
e(γ) is made available online by V. Dunjko, M. Olshanii. Available from: 〈http://physics.usc.edu/~olshanii/DIST/〉.
-
-
-
Dunjko, V.1
Olshanii, M.2
-
83
-
-
0035861970
-
-
note
-
M.A. Cirone, K. Goral, K. Rzazewski, M. Wilkens, J. Phys. B 34 (2001) 4571, Note: however, that their Fig. 3 is incorrect, since the curves for c ≠ 0 do not have the necessary cusps at z = 0; for example, the c = ∞ curve (TG limit) should have its left half reflected up, yielding an even function with the necessary cusp.
-
(2001)
J. Phys. B
, vol.34
, pp. 4571
-
-
Cirone, M.A.1
Goral, K.2
Rzazewski, K.3
Wilkens, M.4
-
84
-
-
10644221493
-
-
McGraw-Hill, New York, and 1641
-
P.M. Morse, H. Feshbach, Methods of Theoretical Physics, vol. II, McGraw-Hill, New York, 1953, pp. 1565-1567 and 1641.
-
(1953)
Methods of Theoretical Physics
, vol.2
, pp. 1565-1567
-
-
Morse, P.M.1
Feshbach, H.2
-
85
-
-
0003498504
-
-
Academic Press, New York
-
I.S. Gradshteyn, I.M. Ryzhik, Tables of Integrals, Series, and Products, Academic Press, New York, 1980, pp. 1064-1067.
-
(1980)
Tables of Integrals, Series, and Products
, pp. 1064-1067
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
86
-
-
0003930336
-
-
North-Holland Publishing Co., Amsterdam
-
A. Messiah, Quantum Mechanics, II, North-Holland Publishing Co., Amsterdam, 1962, pp. 619 ff.
-
(1962)
Quantum Mechanics, II
-
-
Messiah, A.1
-
87
-
-
10644259949
-
-
note
-
This has been proved by Lieb and Mattis [76] assuming that the interactions are ordinary potentials. However, our odd-wave interaction involves both a derivative and another limiting procedure, and we are not aware of a proof applying to this case.
-
-
-
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