Let G be a group, let U(G) denote the set of unbounded operators on L 2 (G) which are affiliated to the group von Neumann algebra W(G) of G, and let D(G) denote the division closure of CG in U(G). Thus D(G) is the smallest subring of U(G) containing CG which is closed under taking inverses. If G is
A Functional Model for Quantum Mechanics: Unbounded Operators
✍ Scribed by Vladimir V. Kisil; Enrique Ramírez de Arellano
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 304 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
for a set of unbounded non-commuting operators. Connections with quantum mechanics are discussed.
📜 SIMILAR VOLUMES
## Communicated by W. Sproljig We present a Riesz-like hyperholomorphic functional calculus for a set of non-commuting operators based on Clifford analysis. Applications to the quantum field theory are described.
One method for the synthesis of object shapes is by using physical laws. A continuum mechanics-based model of growth is proposed here. An energy functional, a function of the shape of an elastic object, is defined. At every instant of the growth process, the shape of the object corresponds to a mini