10 citations · 42 across the 6 of their papers we have counts for
10 papers
A General Approach of Quasi-Exactly Solvable Schroedinger Equations with Three Known Eigenstates
N. Debergh, J. Ndimubandi, B. Van den Bossche
We propose a general method for constructing quasi-exactly solvable potentials with three analytic eigenstates. These potentials can be real or complex functions but the spectrum i…
Darboux transformations for quasi-exactly solvable Hamiltonians
N. Debergh, Boris F. Samsonov, B. Van Den Bossche
We construct new quasi-exactly solvable one-dimensional potentials through Darboux transformations. Three directions are investigated: Reducible and two types of irreducible second…
A General Approach of Quasi-Exactly Solvable Schroedinger Equations
N. Debergh, J. Ndimubandi, B. Van den Bossche
We construct a general algorithm generating the analytic eigenfunctions as well as eigenvalues of one-dimensional stationary Schroedinger Hamiltonians. Both exact and quasi-exact H…
Three-Loop Ground-State Energy of O(N)-Symmetric Ginzburg-Landau Theory Above T_c in 4-epsilon Dimensions with Minimal Subtraction
Boris Kastening, Hagen Kleinert, Bruno Van den Bossche
As a step towards deriving universal amplitude ratios of the superconductive phase transition we calculate the vacuum energy density in the symmetric phase of O(N)-symmetric scalar…
Recursive Graphical Construction for Feynman Diagrams and Their Weights in Ginzburg-Landau Theory
Hagen Kleinert, Axel Pelster, Bruno Van den Bossche
The free energy of the Ginzburg-Landau theory satisfies a nonlinear functional differential equation which is turned into a recursion relation. The latter is solved graphically ord…
Two-Loop Effective Potential of O(N)-Symmetric Scalar QED in 4-epsilon Dimensions
H. Kleinert, B. Van den Bossche
The effective potential of scalar QED is computed analytically up to two loops in the Landau gauge. The result is given in 4-epsilon dimensions using minimal subtraction and epsilo…