ASPECTS OF NONLINEAR QUANTUM MECHANICS

Heinz Dietrich Doebner, S.T. Ali, Michael Keyl +1 more

Gilbert Reinisch

Vladimir I. Man’ko, Giuseppe Marmo, S. Solimeno +1 more

The classical limit of quantum q-oscillators suggests an interpretation of the deformation as a way to introduce nonlinearity. Guided by this idea, we considered q fields, the partition function, and compute a consequence on the specific heat and second order correlation function of the q-oscillator which may serve for experimental checks for the nonlinearity.

W. Ulmer

The problem of consciousness is a very old one of mankind. With beginning of enlightenment and the increasing importance of science the appearance of consciousness was shifted from philosophy to experimental methods in physics, chemistry, medicine, and to neurobiology, emerging the view that all perspectives of consciousness can be reduced and explained by the mentioned disciplines. This view is referred to as strong monism. Since the pure monism cannot explain consciousness and all related aspects of psychology and philosophy, the two-aspect monism turned out to incorporate a promising way to approach the problem. The present study considers the problem of memory and based on quantum mechanics. In particular, the role of the Pauli exclusion principle is analyzed, since from its viewpoint, elementary particles like electrons must exhibit a certain kind of memory with regard to occupied or unoccupied quantum states. Due to the enslavement principle this level of memory increases with increasing of complex molecules and structures. It is also very important with regard to long-range entangled states, which indicate to assume information functions in pyramidal cells.

Pang Xiao Feng

J. J. Bollinger, Daniel J. Heinzen, Wayne M. Itano +2 more