Physics – Quantum Physics
Scientific paper
2003-02-20
Physics
Quantum Physics
15 pages, 8 figures
Scientific paper
We show that zero-energy flows appear in many particle systems as same as in single particle cases in 2-dimensions. Vortex patterns constructed from the zero-energy flows can be investigated in terms of the eigenstates in conjugate spaces of Gel'fand triplets. Stable patterns are written by the superposition of zero-energy eigenstates. On the other hand vortex creations and annihilations are described by the insertions of unstable eigenstates with complex-energy eigenvalues into the stable patterns. Some concrete examples are presented in the 2-dimensional parabolic potential barrier case. %, i.e., $-m \gamma^2 (x^2+y^2)/2$. We point out three interesting properties of the zero-energy flows; (i) the absolute economy as for the energy consumption, (ii) the infinite variety of the vortex patterns, and (iii) the absolute stability of the vortex patterns .
No associations
LandOfFree
Zero-Energy Flows and Vortex Patterns in Quantum Mechanics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Zero-Energy Flows and Vortex Patterns in Quantum Mechanics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zero-Energy Flows and Vortex Patterns in Quantum Mechanics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-724011