arXiv subjects

H. D. Doebner

Publications and source records attributed to H. D. Doebner.

2 recordsLinked to original sources

arXiv1998

Remarks on a Nonlinear Quantum Theory

Motivated by recent proposals (Bialynicki-Birula, Mycielski; Haag, Bannier; Weinberg; Doebner, Goldin) for nonlinear quantum mechanical evolution equations for pure states some principal difficulties in the framework of usual quantum theory, which is based on its inherent linear structure, are discussed. A generic construction of nonlinear evolution equations through nonlinear gauge transformations is indicated.

quant-ph↗

arXiv1997

Infinite Quasi-Exactly Solvable Models

We introduce a new concept of infinite quasi-exactly solvable models which are constructable through multi-parameter deformations of known exactly solvable ones. The spectral problem for these models admits exact solutions for infinitely many eigenstates but not for the whole spectrum. The hermiticity of their hamiltonians is guaranteed by construction. The proposed models have quasi-exactly solvable classical conterparts.

hep-th↗