NANOSYSTEMS: PHYSICS, CHEMISTRY, MATHEMATICS, 2012, 3 (3), P. 6–22
VARIATIONAL ESTIMATIONS OF THE EIGENVALUES FOR 3D QUANTUM WAVEGUIDES IN A TRANSVERSE ELECTRIC FIELD
D.G. Matveev – Microsoft, Redmond, WA, USA, d.g.matveev@gmail.com
I.Yu. Popov – Saint-Petersburg National Research University of Information Technologies, Mechanics and Optics, Saint-Petersburg, Russia, professor, D.Sc., popov1955@gmail.com
It is shown that an eigenvalue of the Laplacian exists below the continuous spectrum for a system of three-dimensional quantum waveguides laterally coupled via a small window and placed in a transverse electric field, and the estimation for the eigenvalue is obtained. A field induced shift of the eigenvalue is estimated by using a variation.
Keywords: variational method, spectrum estimations, quantum wavequides, external field.
UDC 517.938
PACS 05.45.Df, 61.43.Hv, 83.10.Rs
I dugg some of you post as I thought they were invaluable handy
pin up azerbaijan: pin up – pin up 306
Appreciate it for helping out, great information.
I am continuously looking online for ideas that can benefit me. Thanks!
Very interesting details you have mentioned, regards for putting up.
Spot on with this write-up, I actually think this web site needs much more consideration. I’ll probably be again to learn much more, thanks for that info.
After examine a number of of the blog posts on your web site now, and I truly like your way of blogging. I bookmarked it to my bookmark web site record and will probably be checking again soon. Pls take a look at my website as effectively and let me know what you think.
I’ve recently started a site, the info you offer on this web site has helped me greatly. Thanks for all of your time & work.
I don’t normally comment but I gotta say regards for the post on this great one : D.
Magnificent site. Lots of helpful information here. I’m sending it to some friends ans additionally sharing in delicious. And naturally, thank you for your effort!
Hi! I know this is kinda off topic but I’d figured I’d ask. Would you be interested in exchanging links or maybe guest authoring a blog post or vice-versa? My blog covers a lot of the same subjects as yours and I feel we could greatly benefit from each other. If you’re interested feel free to send me an email. I look forward to hearing from you! Terrific blog by the way!
You made certain good points there. I did a search on the topic and found most folks will go along with with your blog.
Good write-up, I’m normal visitor of one’s web site, maintain up the excellent operate, and It is going to be a regular visitor for a long time.
I was suggested this web site by means of my cousin. I’m no longer sure whether or not this post is written through him as nobody else realize such detailed approximately my problem. You’re wonderful! Thanks!
I just like the helpful info you supply to your articles. I’ll bookmark your weblog and take a look at once more right here frequently. I am moderately certain I’ll be told lots of new stuff proper here! Good luck for the next!
Howdy! Someone in my Myspace group shared this website with us so I came to look it over. I’m definitely loving the information. I’m bookmarking and will be tweeting this to my followers! Exceptional blog and great design and style.
Hi there! Do you use Twitter? I’d like to follow you if that would be okay. I’m definitely enjoying your blog and look forward to new posts.
I was more than happy to seek out this web-site.I needed to thanks to your time for this excellent read!! I undoubtedly enjoying each little little bit of it and I have you bookmarked to take a look at new stuff you weblog post.