Related papers: Time-dependent Schr\"odinger equation from the Ham…
This paper has been withdrawn by the author due to a crucial error in the Proof of Theorem 0.3
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
We study well posedness of time--dependent Hamilton--Jacobi equations on a network, coupled with a continuous initial datum and a flux limiter. We show existence and uniqueness of solutions as well as stability properties. The novelty of…
The paper has been withdrawn by the author.
This paper is withdrawn due to unclearness of some notions on which the material is based.
Starting from Schr\"odinger's equation, Hamilton's classical equations of motion emerge from the collapse of the unsymmetrized wave function in a decoherent open quantum system entangled with its environment.
This paper has been withdrawn by the authors.
This paper has been withdrawn
This paper has been withdrawn by the authors due to an error.
This paper has been withdrawn. See quant-ph/9806031 for a discussion.
This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.
This paper has been withdrawn while the author verifies the literature.
This paper has been withdrawn.
This paper has been withdrawn by the authors due to a crucial error in the proof of the main result. In a new manuscript (with two new authors) available at arXiv:1010.2791v1 this problem has been resolved.
The paper has been withdrawn by the authors. The contents of the paper will be used in a future communication which will contain major addition and shift of focus.
Using the transformations from paper I, we show that the Schr\"odinger equations for: (1)systems described by quadratic Hamiltonians, (2) systems with time-varying mass, and (3) time-dependent oscillators, all have isomorphic Lie space-time…
The author has withdrawn this submission.
We study the stability of the Schr\"odinger equation generated by time-dependent Hamiltonians with constant form domain. That is, we bound the difference between solutions of the Schr\"odinger equation by the difference of their…
In this article we study the nature of time in Mechanics. The fundamental principle, according to which a mechanical system evolves governed by a second order differential equation, implies the existence of an absolute time-duration in the…
This paper has been withdrawn