L'equation de schrodinger pdf

By using multiplier techniques and constructing energy functionals well adapted to the system, the exponential decay in h is proved. Michigan state university east lansing, mi misn0309 the bohrsommerfeld model of the atom electron chargee nucleu. Cependant, cette equation est generalement bien trop. From this interpretation, we see that we can calculate the probability to nd the particle between two points x 1 and x 2 from the wave function. Due to a counterexample by bourgain, up to the endpoint, this result. The numerical study of a nonlinear onedimensional dirac equation. Numerical solution of timedependent nonlinear schr odinger equations using domain truncation techniques coupled with relaxation scheme x. In this approach, time plays a role different from what it does in nonrelativistic quantum mechanics, leading to the socalled problem of time. Erwin schrodinger, austrian theoretical physicist who contributed to the wave theory of matter and to other fundamentals of quantum mechanics. First, the boundary stabilization problem is considered. Numerical solution of 1d time independent schrodinger.

Also, we prove an explicit in time logarithmic observability estimate for the schrodinger equation, where no geometrical conditions are supposed on the. We propose an exact controllability result for schrodinger equations in bounded domains under the bardoslebeaurauch geometric control condition with an estimate of the control which is explicit with respect to the time of controllability. Selfsimilar solutions for nonlinear schrodinger equations miao, changxing, zhang, bo, and. Document information click to expand document information. Dirac equation from eric weissteins world of physics. The schrodinger equation is one of the most basic formulas of quantum physics. In this code, a potential well is taken particle in a box and the wavefunction of the particle is calculated by solving schrodinger equation.