TY - JOUR
T1 - Quantum monodromy in the spectrum of Schrödinger equation with a decatic potential
AU - Dong, Shi Hai
N1 - Funding Information:
The author thanks Prof M. S. Child for drawing attention to this interesting system and for invitation to University of Oxford where the collaboration and discussion took place. S. H. Dong thanks Prof A. Frank for invitation to Universidad Nacional Autonoma de Mexico. This work is supported in part by the Royal Society of London and in party by CONACyT, Mexico, under project 32397-E.
PY - 2002
Y1 - 2002
N2 - In this study the spectral problem of the two-dimensional Schrödinger equation with the cylindrically symmetrical decatic potential is carried out. The concept of quantum monodromy is introduced to give insight into the energy levels of system with this potential. It is shown that quantum monodromy occurs at ρ = 0 in the distribution of eigenstates around a critical point on the spectrum at E = 0 with zero angular momentum, such that there can be no smoothly valid assignment of quantum number. Cases with the three-well and four-well potentials are presented to give rise to the double degeneracies with respect to energy except for the angular momentum m = 0.
AB - In this study the spectral problem of the two-dimensional Schrödinger equation with the cylindrically symmetrical decatic potential is carried out. The concept of quantum monodromy is introduced to give insight into the energy levels of system with this potential. It is shown that quantum monodromy occurs at ρ = 0 in the distribution of eigenstates around a critical point on the spectrum at E = 0 with zero angular momentum, such that there can be no smoothly valid assignment of quantum number. Cases with the three-well and four-well potentials are presented to give rise to the double degeneracies with respect to energy except for the angular momentum m = 0.
UR - http://www.scopus.com/inward/record.url?scp=0141451680&partnerID=8YFLogxK
U2 - 10.1023/A:1013273600656
DO - 10.1023/A:1013273600656
M3 - Artículo
SN - 0020-7748
VL - 41
SP - 89
EP - 99
JO - International Journal of Theoretical Physics
JF - International Journal of Theoretical Physics
IS - 1
ER -