Abstract. A functional integral representation for the weak so-lution of the Schrödinger equation with a polynomially growing potential is proposed in terms of an analytically continued Wiener integral. The asymptotic expansion in powers of the coupling con-stant λ of the matrix elements of the Schrödinger group is studied and its Borel summability is proved
Abstract. We discuss the asymptotic behaviour for the best constant in Lp-Lq estimates for trigonome...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
The Schrödinger equation ∂2xΨ(x) = [U(x) − E]Ψ(x) with the potential U(x) = 2ρ1 cos x + 2ρ2 cos(...
AbstractA functional integral representation for the weak solution of the Schrödinger equation with ...
A functional integral representation for the weak solution of the Schrödinger equation with polynomi...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
We present a new method for solving the Schrödinger equation with arbitrary potentials. The solution...
We consider the Schro \u308dinger equation for a Hamiltonian operator with a potential function mode...
Abstract. We study the n-dimensional Schrödinger equation with a singular potential Vλ(x) = λ ‖x‖−...
We present a new method for solving the Schrodinger equation with arbitrary potentials. The solution...
A recent method called Asymptotic Taylor expansion (ATEM) is ap-plied to determine the analytical ex...
Abstract. We give a new estimate for the solution to the Schrödinger equation with potentials V (x)...
A general solution of the Schrödinger equation in the potential representation has been obtained in ...
AbstractGiven a second order differential equation with two singular points, namely the origin and i...
The computation of the linear Schrödinger equation presents major challenges because of the presenc...
Abstract. We discuss the asymptotic behaviour for the best constant in Lp-Lq estimates for trigonome...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
The Schrödinger equation ∂2xΨ(x) = [U(x) − E]Ψ(x) with the potential U(x) = 2ρ1 cos x + 2ρ2 cos(...
AbstractA functional integral representation for the weak solution of the Schrödinger equation with ...
A functional integral representation for the weak solution of the Schrödinger equation with polynomi...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
We present a new method for solving the Schrödinger equation with arbitrary potentials. The solution...
We consider the Schro \u308dinger equation for a Hamiltonian operator with a potential function mode...
Abstract. We study the n-dimensional Schrödinger equation with a singular potential Vλ(x) = λ ‖x‖−...
We present a new method for solving the Schrodinger equation with arbitrary potentials. The solution...
A recent method called Asymptotic Taylor expansion (ATEM) is ap-plied to determine the analytical ex...
Abstract. We give a new estimate for the solution to the Schrödinger equation with potentials V (x)...
A general solution of the Schrödinger equation in the potential representation has been obtained in ...
AbstractGiven a second order differential equation with two singular points, namely the origin and i...
The computation of the linear Schrödinger equation presents major challenges because of the presenc...
Abstract. We discuss the asymptotic behaviour for the best constant in Lp-Lq estimates for trigonome...
AbstractA general class of infinite dimensional oscillatory integrals with polynomially growing phas...
The Schrödinger equation ∂2xΨ(x) = [U(x) − E]Ψ(x) with the potential U(x) = 2ρ1 cos x + 2ρ2 cos(...