TY - JOUR
T1 - Relativistic Levinson theorem in two dimensions
AU - Dong, Shi Hai
AU - Hou, Xi Wen
AU - Ma, Zhong Qi
PY - 1998
Y1 - 1998
N2 - In the light of the generalized Sturm-Liouville theorem, the Levinson theorem for the Dirac equation in two dimensions is established as a relation between the total number [Formula Presented] of the bound states and the sum of the phase shifts [Formula Presented] of the scattering states with the angular momentum [Formula Presented]: [Formula Presented]The critical case, where the Dirac equation has a finite zero-momentum solution, is analyzed in detail. A zero-momentum solution is called a half-bound state if its wave function is finite but does not decay fast enough at infinity to be square integrable.
AB - In the light of the generalized Sturm-Liouville theorem, the Levinson theorem for the Dirac equation in two dimensions is established as a relation between the total number [Formula Presented] of the bound states and the sum of the phase shifts [Formula Presented] of the scattering states with the angular momentum [Formula Presented]: [Formula Presented]The critical case, where the Dirac equation has a finite zero-momentum solution, is analyzed in detail. A zero-momentum solution is called a half-bound state if its wave function is finite but does not decay fast enough at infinity to be square integrable.
UR - http://www.scopus.com/inward/record.url?scp=0000753418&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.58.2160
DO - 10.1103/PhysRevA.58.2160
M3 - Artículo
SN - 1050-2947
VL - 58
SP - 2160
EP - 2167
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 3
ER -