62 citations · 115 across the 9 of their papers we have counts for
9 papers
On (non)linear Quantum Mechanics
Peter Nattermann
We review a possible framework for (non)linear quantum theories, into which linear quantum mechanics fits as well, and discuss the notion of ``equivalence'' in this setting. Finall…
Gauge Transformations in Quantum Mechanics and the Unification of Nonlinear Schrödinger Equations
H. -D. Doebner, G. A. Goldin, P. Nattermann
Beginning with ordinary quantum mechanics for spinless particles, together with the hypothesis that all experimental measurements consist of positional measurements at different ti…
Nonlinear Quantum Mechanics and Locality
W. Luecke, P. Nattermann
It is shown that, in order to avoid unacceptable nonlocal effects, the free parameters of the general Doebner-Goldin equation have to be chosen such that this nonlinear Schrödinger…
Generalized Quantum Mechanics and Nonlinear Gauge Transformations
Peter Nattermann
Motivated by the problems of interpretation of a nonlinear evolution equation in quantum mechanics we discuss in this contribution the concept of nonlinear gauge transformations, t…
Borel Quantization: Kinematics and Dynamics
H. -D. Doebner, P. Nattermann
In this contribution we review results on the kinematics of a quantum system localized on a connected configuration manifold and compatible dynamics for the quantum system includin…
On Integrable Doebner-Goldin Equations
P. Nattermann, R. Zhdanov
We suggest a method for integrating sub-families of a family of nonlinear {\sc Schrödinger} equations proposed by {\sc H.-D.~Doebner} and {\sc G.A.~Goldin} in the 1+1 dimensional c…