432 citations · 5.7k across the 212 of their papers we have counts for
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Green Function of the Poisson Equation: D=2,3,4
U. D. Jentschura, J. Sapirstein
We study the Green function of the Poisson equation in two, three and four dimensions. The solution g of the equation nabla^2 g(x - x') = delta^(D)(x - x'), where x and x are D-dim…
Order-dependent mappings: strong coupling behaviour from weak coupling expansions in non-Hermitian theories
J. Zinn-Justin, U. D. Jentschura
A long time ago, it has been conjectured that a Hamiltonian with a potential of the form x^2+i v x^3, v real, has a real spectrum. This conjecture has been generalized to a class o…
Imaginary Cubic Perturbation: Numerical and Analytic Study
J. Zinn-Justin, U. D. Jentschura
The analytic properties of the ground state resonance energy E(g) of the cubic potential are investigated as a function of the complex coupling parameter g. We explicitly show that…
Multi-Instantons and Exact Results III: Unified Description of the Resonances of Even and Odd Anharmonic Oscillators
U. D. Jentschura, A. Surzhykov, J. Zinn-Justin
This is the third article in a series of three papers on the resonance energy levels of anharmonic oscillators. Whereas the first two papers mainly dealt with double-well potential…
Calculation of the Characteristic Functions of Anharmonic Oscillators
Ulrich D. Jentschura, Jean Zinn-Justin
The energy levels of quantum systems are determined by quantization conditions. For one-dimensional anharmonic oscillators, one can transform the Schrodinger equation into a Riccat…
Structure, Time Propagation and Dissipative Terms for Resonances
U. D. Jentschura, A. Surzhykov, M. Lubasch +1
For odd anharmonic oscillators, it is well known that complex scaling can be used to determine resonance energy eigenvalues and the corresponding eigenvectors in complex rotated sp…
Higher-Order Corrections to Instantons
U. D. Jentschura, J. Zinn-Justin
The energy levels of the double-well potential receive, beyond perturbation theory, contributions which are non-analytic in the coupling strength; these are related to instanton ef…