โ Scribed by John Rogers; Donald Spector
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this Letter, a theorem on time-dependent linear Hamiltonian systems is recalled and its connection with the SchrOdinger equation is discussed. The kernel of the evolution operator of such quantum systems is computed. Furthermore, the Lewis and Riesenfeld theory for systems with many degrees of fr
Exact analytical solutions are found for the quantum mechanical problem of a particle subject to a time-dependent potential with time-dependent boundary conditions. The method of solution employs time-dependent invariants, rescaling of space and time variables along with an unitary transformation. S
these methods are very good candidates for the computations of the time-dependent compressible flows. Although Four explicit type time marching methods, including one proposed by the authors, are examined. The TVD conditions of these methods succeed in different cases, detailed comparithis method ar
An expression for the quantum time of arrival based on the current density is discussed and justified operationally by means of complex potentials that absorb the incoming wave in a finite distance without reflection or transmission. Previous arguments denying the possibility of defining the time of