A V Golovnev and L V Prokhorov 2004 J. Phys. A: Math. Gen. 37 2765 doi:10.1088/0305-4470/37/7/017
Uncertainty relations in curved spaces
A V Golovnev and L V Prokhorov
Show affiliationsUncertainty relations for particle motion in curved spaces are discussed. The relations are shown to be topologically invariant. A new coordinate system on a sphere appropriate to the problem is proposed. The case of a sphere is considered in detail. The investigation can be of interest for string and brane theory, solid state physics (quantum wires) and quantum optics.
- PACS
- MSC
-
81T20 Quantum field theory on curved space backgrounds
81T30 String and superstring theories; other extended objects (e.g., branes) (See also 83E30)
- Subjects
- Dates
-
Issue 7 (20 February 2004)
Received 6 October 2003
Published 4 February 2004
-
Uncertainty relations in curved spaces
A V Golovnev and L V Prokhorov 2004 J. Phys. A: Math. Gen. 37 2765
-
The Multiband Imaging Photometer for Spitzer (MIPS)
G. H. Rieke et al. 2004 ApJS 154 25
-
Orbit bifurcations and wavefunction autocorrelations
A Bäcker et al 2002 Nonlinearity 15 1417
-
New quadrupole and forbidden lines in the L emission spectrum of cerium 58
B G Gokhale and S N Shukla 1970 J. Phys. B: At. Mol. Phys. 3 1392
-
A New High-Temperature Platinum Resistance Thermometer
Li Xumo et al 1982 Metrologia 18 203
-
Diffusion of hydrogen, deuterium and tritium in face-centred cubic metals at low temperatures
B Hohler and H Schreyer 1982 J. Phys. F: Met. Phys. 12 857
-
Classification of Voronoi and Delone tiles of quasicrystals: III. Decagonal acceptance window of any size
Z Masáková et al 2005 J. Phys. A: Math. Gen. 38 1947
-
Order and frustration in chiral liquid crystals
Randall D Kamien and Jonathan V Selinger 2001 J. Phys.: Condens. Matter 13 R1
-
Combined-structure semiconductor gas sensor based on butane gas
Wu Xinghui et al 2001 Semicond. Sci. Technol. 16 682
-
Molecular dynamics simulation of size and strain rate dependent mechanical response of FCC metallic nanowires
S J A Koh and H P Lee 2006 Nanotechnology 17 3451
Related review articles
What's this?- Integrable structure of box–ball systems: crystal, Bethe ansatz, ultradiscretization and tropical geometry
- Spectral problems in open quantum chaos
- Lectures on localization and matrix models in supersymmetric Chern–Simons-matter theories
super-Yang–Mills*