QUANTUM BOUND STATES FOR A DERIVATIVE NONLINEAR SCHRÖDINGER MODEL AND NUMBER THEORY
2004 ◽
Vol 19
(36)
◽
pp. 2697-2706
◽
Keyword(s):
A derivative nonlinear Schrödinger model is shown to support localized N-body bound states for several ranges (called bands) of the coupling constant η. The ranges of η within each band can be completely determined using number theoretic concepts such as Farey sequences and continued fractions. For N≥3, the N-body bound states can have both positive and negative momenta. For η>0, bound states with positive momentum have positive binding energy, while states with negative momentum have negative binding energy.
2005 ◽
Vol 341
(5-6)
◽
pp. 371-379
◽
2013 ◽
Vol 45
(4)
◽
pp. 2299-2331
◽
2006 ◽
Vol 18
(30)
◽
pp. 6997-7011
◽
Keyword(s):
2000 ◽
Vol 54
(3)
◽
pp. 317-331
◽
2008 ◽
Vol 40
(1)
◽
pp. 365-381
◽
2014 ◽
Vol 34
(6)
◽
pp. 1892-1906
◽
2006 ◽
Vol 98
(1)
◽
pp. 317-348
◽
2008 ◽
Vol 245
(10)
◽
pp. 2723-2748
◽
2008 ◽
Vol 282
(3)
◽
pp. 721-731
◽
Keyword(s):