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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 17: Poster (permanent Di-Do)

MP 17.1: Poster

Tuesday, March 17, 2015, 09:30–18:00, HFT-FT 101

A generalized approach to quantum mechanics in its hydrodynamical formulation — •Christoph Tempel and Wolfgang P. Schleich — Institut für Quantenphysik

Already formulated by Madelung in 1926 [1], the hydrodynamical formulation of quantum mechanics underwent several revivals since then. It was at the core of Bohm’s interpretation of nonrelativistic quantum mechanics and now again gains influence in various fields of quantum theory. A most recent example would be the description of Bose-Einstein condensates in harmonic traps as well as under free evolution [2]. The outstanding property of the formulation is position space which it owes its name by comparison with classical hydrodynamics.

We start from a more general setting and examine the properties of Quantum Hydrodynamics in a selection of continuous Hilbert spaces and visualize our results on the prime example of textbook quantum mechanics: a single particle in the box.
[1] Madelung, Erwin, Z. Phys A 40.3, 322 (1927).
[2] Dalfovo, Franco, et al., Rev. Mod. Phys. 71.3, 463 (1999).