Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives

Details Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives

2011-04-20

arxiv.org/abs/1104.4042v2

Physics

Mathematical Physics

15 pages; determination of Morse index added

Scientific paper

With the use of a second derivative test based on constrained second
derivatives, a proof is given that excited states in nonrelativistic quantum
mechanics are saddle points of the energy expectation value, and is shown,
further, how to determine their Morse index.

Affiliated with

Also associated with

No associations

Rating

Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives 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 Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Proof of non-extremal nature of excited-state energies in nonrelativistic quantum mechanics with the use of constrained derivatives will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-432989