TY - JOUR

T1 - Isospectral Hamiltonians from inverse scattering

T2 - II. Transformations and singular-soliton potentials

AU - Kong, O. C.W.

AU - Fung, P. C.W.

PY - 1989

Y1 - 1989

N2 - For pt.I see ibid., vol.5, p.783 (1989). The authors study possible transformations producing isospectral Hamiltonians under one united framework-the application of the commutation formula through an inverse scattering formulation. In addition to the four cases of such transformations, suitable compositions of which make up all isospectral transformations known under the title of supersymmetric quantum mechanics, they introduce two new one-parameter sets of such transformations. These two new 'isospectral' transformations generate Hamiltonians with singular-soliton potentials. Three types of eigenstates can be defined for such a class of Hamiltonians, the 'normal' bound state, the singular bound state and the null bound state, characterised by positive, negative and zero norm respectively. Various compositions of the transformations are also analysed.

AB - For pt.I see ibid., vol.5, p.783 (1989). The authors study possible transformations producing isospectral Hamiltonians under one united framework-the application of the commutation formula through an inverse scattering formulation. In addition to the four cases of such transformations, suitable compositions of which make up all isospectral transformations known under the title of supersymmetric quantum mechanics, they introduce two new one-parameter sets of such transformations. These two new 'isospectral' transformations generate Hamiltonians with singular-soliton potentials. Three types of eigenstates can be defined for such a class of Hamiltonians, the 'normal' bound state, the singular bound state and the null bound state, characterised by positive, negative and zero norm respectively. Various compositions of the transformations are also analysed.

UR - http://www.scopus.com/inward/record.url?scp=36149032589&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/5/5/009

DO - 10.1088/0266-5611/5/5/009

M3 - 期刊論文

AN - SCOPUS:36149032589

SN - 0266-5611

VL - 5

SP - 799

EP - 815

JO - Inverse Problems

JF - Inverse Problems

IS - 5

M1 - 009

ER -