On the Geodesic Nature of Wegner’s Flow

Foundations of Physics 42 (3):377-387 (2012)

Wegner’s method of flow equations offers a useful tool for diagonalizing a given Hamiltonian and is widely used in various branches of quantum physics. Here, generalizing this method, a condition is derived, under which the corresponding flow of a quantum state becomes geodesic in a submanifold of the projective Hilbert space, independently of specific initial conditions. This implies the geometric optimality of the present method as an algorithm of generating stationary states. The result is illustrated by analyzing some physical examples
Keywords Wegner’s method of flow equations  Diagonalization of Hamiltonian  Geodesic curve
Categories (categorize this paper)
DOI 10.1007/s10701-011-9606-8
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 46,405
Through your library

References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Geodesic Universality in General Relativity.Michael Tamir - 2013 - Philosophy of Science 80 (5):1076-1088.
Information and Gravitation.W. J. Cocke & B. Roy Frieden - 1997 - Foundations of Physics 27 (10):1397-1412.
Belief Update Using Graphs.Konstantinos Georgatos - 2008 - In David Wilson & Chad H. Lane (eds.), FLAIRS 21. AAAI Press. pp. 649-654.
Why There Was a Useful Plausible Analogy Between Geodesic Domes and Spherical Viruses.Gregory J. Morgan - 2006 - History and Philosophy of the Life Sciences 28 (2):215 - 235.


Added to PP index

Total views
37 ( #245,146 of 2,286,214 )

Recent downloads (6 months)
8 ( #128,004 of 2,286,214 )

How can I increase my downloads?


My notes

Sign in to use this feature