New, gauge-independent, second-order Lagrangian for the motion of classical, charged test particles is proposed. It differs from the standard, gauge-dependent, first-order Lagrangian by boundary terms only. A new method of deriving equations of motion from field equations is developed. When applied
A variational principle for transition and density matrices and approximations to the equations-of-motion
✍ Scribed by Yuri Dmitriev; Björn Roos
- Publisher
- John Wiley and Sons
- Year
- 1975
- Tongue
- English
- Weight
- 400 KB
- Volume
- 9
- Category
- Article
- ISSN
- 0020-7608
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
A general variational principle for transition and density matrices is proposed. The principle is closely related to Rowe's variational treatment of the equations‐of‐motion method. It permits the simultaneous construction of coupled approximations for two eigenstates, and it is a straightforward extension of the usual variational method.
📜 SIMILAR VOLUMES
## Abstract A modified form of Frenkel's time‐dependent variation principle, suggested by McLachlan for state vectors, is employed to discuss the optimal time evolution of a density operator ρ(__t__). An __ansatz__ is made for this operator such that __i__(__d__ρ/__dt__) = [__S__, ρ], where __S__(_