Ski de fond
Smoothing effect for regularized Schrödinger equation on compact manifolds
Smoothing effect for Schrödinger evolution equation via commutator algebra
Solution of Space-Time Fractional Schrödinger Equation Occurring in Quantum Mechanics
Dedicated to Professor A.M. Mathai on the occasion of his 75-th birthday. Mathematics Subject Classi¯cation 2010: 26A33, 44A10, 33C60, 35J10.The object of this article is to present the computational solution of one-dimensional space-time fractional Schrödinger equation occurring in quantum mechanics. The method followed in deriving the solution is that of joint Laplace and Fourier transforms. The solution is derived in a closed and computational form in terms of the H-function. It provides an elegant...
Solution of the Neumann problem for the Laplace equation
For fairly general open sets it is shown that we can express a solution of the Neumann problem for the Laplace equation in the form of a single layer potential of a signed measure which is given by a concrete series. If the open set is simply connected and bounded then the solution of the Dirichlet problem is the double layer potential with a density given by a similar series.
Solutions of boundary-value problems in discretized volumes.
Solutions to stationary phase-field equations.
Solvability Conditions for a Linearized Cahn-Hilliard Equation of Sixth Order
We obtain solvability conditions in H6(ℝ3) for a sixth order partial differential equation which is the linearized Cahn-Hilliard problem using the results derived for a Schrödinger type operator without Fredholm property in our preceding article [18].
Some estimates concerning the Zeeman effect
The Itô integral calculus and analysis on nilpotent Lie grops are used to estimate the number of eigenvalues of the Schrödinger operator for a quantum system with a polynomial magnetic vector potential. An analogue of the Cwikel-Lieb-Rosenblum inequality is proved.
Some estimates for commutators of Riesz transform associated with Schrödinger type operators
Let be a Schrödinger operator and let be a Schrödinger type operator on , where is a nonnegative potential belonging to certain reverse Hölder class...
Some estimates of Schrödinger-type operators with certain nonnegative potentials.
Some mathematical problems in inverse potential scattering
Some problems in inverse scattering theory
Some remarks on double-wells in one and three dimensions
Some remarks on eigenfunction expansions for Schrödinger operators with non-local potentials.
Some remarks on the multi-dimensional Borg-Levinson theorem
Some remarks on the Weyl asymptotics by the approximate spectral projection method
In questo lavoro studiamo il resto relativo della formula asintotica per gli autovalori di un operatore differenziale in , ottenuta mediante il metodo delle proiezioni spettrali approssimate ([3], Theorem 6.2). In un primo tempo diamo un controesempio di un operatore di Schrödinger con potenziale a crescita algebrica, per il quale il resto non è limitato. Quindi specifichiamo alcune condizioni addizionali da imporre all'operatore in modo da avere un resto infinitesimo.
Some time-dependent Hartree equations
Some weighted norm inequalities concerning the Schrödinger operators.
Sommes de deux carrés qui ne sont pas sommes de trois carrés strictement positifs