Quantum fictitious forces

I Bialynicki-Birula, M.A. Cirone, Jens Peder Dahl, T.H. Seligman, F. Straub, W.P. Schleich

Research output: Contribution to journalJournal articleResearchpeer-review


We present Heisenberg's equation of motion for the radial variable of a free non-relativistic particle in D dimensions. The resulting radial force consists of three contributions: (i) the quantum fictitious force which is either attractive or repulsive depending on the number of dimensions, (ii) a singular quantum force located at the origin, and (iii) the centrifugal force associated with non-vanishing angular momentum. Moreover, we use Heisenberg's uncertainty relation to introduce a lower bound for the kinetic energy of an ensemble of neutral particles. This bound is quadratic in the number of atoms and can be traced back to the repulsive quantum fictitious potential. All three forces arise for a free particle: "Force without force".
Original languageEnglish
Issue number5-7
Pages (from-to)599-607
Publication statusPublished - 2002

Fingerprint Dive into the research topics of 'Quantum fictitious forces'. Together they form a unique fingerprint.

Cite this