Related papers: Time-dependent Schr\"odinger equation from the Ham…
A new type of solution for the full 3+1 dimensional space-time Schroedinger equation is presented here. We consider elegant presentation of the exact solution in a spherical coordinate system, along with the assuming of separation of the…
This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.
This paper is withdrawn. See quant-ph/9806031 for a discussion.
This paper has been withdrawn since a trivial proof of the result has been pointed out to the author.
This paper has been withdrawn
The solutions of the time independent Schrodinger equation for non-Hermitian (NH) Hamiltonians have been extensively studied and calculated in many different fields of physics by using L^2 methods that originally have been developed for the…
This paper has been withdrawn by the author.
We review and compare different variational formulations for the Schr\"{o}dinger field. Some of them rely on the addition of a conveniently chosen total time derivative to the hermitic Lagrangian. Alternatively, the Dirac-Bergmann algorithm…
Paper withdrawn. Replaced by by gr-qc/0212077 .
The introduction of nonlinearities in the Schr\"odinger equation has been considered in the literature as an effective manner to describe the action of external environments or mean fields. Here, in particular, we explore the nonlinear…
The solution of the time-dependent Schr\"odinger equation is discussed for a particle confined in half-space $x>0$ with a linear potential $V(x)=Kx$ in the following situations: (a) sudden removal of the wall and switching on the linear…
We investigate the solutions for a time dependent potential by considering two scenarios for the fractional Schr\"odinger equation. The first scenario analyzes the influence of the time dependent potential in the absence of the kinetic…
This paper has been withdrawn by the authors due to the paper is far from complishment.
%auto-ignore This paper has been withdrawn by the authors.
This paper has been withdrawn. A much-improved version can be found at hep-ph/0209176.
This paper has been withdrawn at the author's request.
This paper has been withdrawn by the author(s)
The time-dependent Schrodinger equation is solved for two model problems for a non-Hermitian quantum system.A simple matrix model system is used to examine two critical problems for these systems: complex and non-observable energies and…
It is shown that the time-dependent equations (Schr\"odinger and Dirac) for a quantum system can be always derived from the time-independent equation for the larger object of the system interacting with its environment, in the limit that…
This paper has been withdrawn.