A unified recurrence operator method for obtaining normalized explicit wavefunctions for shape-invariant potentials
From MaRDI portal
Publication:4703740
DOI10.1088/0305-4470/31/20/013zbMath0931.34070OpenAlexW2050157568MaRDI QIDQ4703740
Wei Xiao, Xiaoguo Wang, Puchun Chen, Chun-Sheng Jia, Xiaoke Yao
Publication date: 30 November 1999
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/0305-4470/31/20/013
Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05)
Related Items
Bound states of the Dirac equation with vector and scalar Eckart potentials ⋮ Solutions of the Klein-Gordon equation with the improved Tietz potential energy model ⋮ Approximate analytical solutions of the Dirac equation with the generalized Pöschl-Teller potential including the pseudo-centrifugal term ⋮ Bound states of the Klein-Gordon equation with vector and scalar five-parameter exponential-type potentials ⋮ D-dimensional energies for scandium monoiodide ⋮ Bound states of relativistic particles in the generalized symmetrical double-well potential ⋮ Bound states of the Dirac equation with vector and scalar Scarf-type potentials ⋮ Extension of PT-symmetric quantum mechanics to the Dirac theory with position-dependent mass ⋮ Classes of exact Klein-Gordon equations with spatially dependent masses: regularizing the one-dimensional inversely linear potential ⋮ PT symmetry and shape invariance for a potential well with a barrier ⋮ ARBITRARY l-WAVE BOUND STATE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE ECKART POTENTIAL ⋮ ARBITRARY l-WAVE SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE HULTHÉN POTENTIAL MODEL ⋮ APPROXIMATE ANALYTICAL SOLUTIONS OF THE SCHRÖDINGER EQUATION WITH THE MANNING–ROSEN POTENTIAL MODEL ⋮ Complexified Pöschl-Teller II potential model ⋮ A new \(\eta\)-pseudo-Hermitian complex potential with PT symmetry
