Alternation-Trading Proofs, Linear Programming, and Lower Bounds
β Scribed by Williams, Ryan
- Book ID
- 121186232
- Publisher
- Association for Computing Machinery
- Year
- 2013
- Tongue
- English
- Weight
- 326 KB
- Volume
- 5
- Category
- Article
- ISSN
- 1942-3454
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Upper and lower bounds to quantum mechanical second order perturbation quantities are found using the method of Linear Programming. In this paper bounds on the polarizability of hydrogen, helium and neon are obtained using the sum rules popularized by Dalgarno.
## Abstract This paper describes a new formulation, based on linear finite elements and nonβlinear programming, for computing rigorous lower bounds in 1, 2 and 3 dimensions. The resulting optimization problem is typically very large and highly sparse and is solved using a fast quasiβNewton method w