Published October 2010
| Version v1
Journal article
Unitary expansion of the time evolution operator
- 1. Instituto de Fisica, Universidade Federal do Rio de Janeiro. Caixa Postal 68528, 21941-972 Rio de Janeiro, Rio de Janeiro (Brazil)
- 2. Departamento de Quimica Fisica, Universidad del Pais Vasco-Euskal Herriko Unibertsitatea, Apartado 644, 48080 Bilbao (Spain)
- 3. IKERBASQUE, Basque Foundation for Science, Alameda Urquijo 36, 48011 Bilbao (Spain)
Description
We propose an expansion of the unitary evolution operator, associated with a given Schroedinger equation, in terms of a finite product of explicit unitary operators. In this manner, this unitary expansion can be truncated at the desired level of approximation, as shown in the given examples.
Additional details
Identifiers
- DOI
- 10.1103/PhysRevA.82.042110;
- arXiv
- arXiv:1008.1985v3;
Publishing Information
- Journal Title
- Physical Review. A
- Journal Volume
- 82
- Journal Issue
- 4
- Journal Page Range
- p. 042110-042110.6
- ISSN
- 1050-2947
- CODEN
- PLRAAN
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 42045615
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- APPROXIMATIONS; EVOLUTION; QUANTUM MECHANICS; QUANTUM OPERATORS; SCHROEDINGER EQUATION; TIME DEPENDENCE; UNITARITY
- Descriptors DEC
- CALCULATION METHODS; DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICAL OPERATORS; MECHANICS; PARTIAL DIFFERENTIAL EQUATIONS; WAVE EQUATIONS
Optional Information
- Notes
- (c) 2010 The American Physical Society