Unitary expansion of the time evolution operator

Journal Article · Fri Oct 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.042110· OSTI ID:21450710

Zagury, N; Aragao, A ^[1]; Casanova, J ^[2]; Solano, E ^[2]

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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)

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.

• OSTI ID: 21450710
• Journal Information: Physical Review. A, Vol. 82, Issue 4; Other Information: DOI: 10.1103/PhysRevA.82.042110; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
APPROXIMATIONS
EVOLUTION
QUANTUM MECHANICS
QUANTUM OPERATORS
SCHROEDINGER EQUATION
TIME DEPENDENCE
UNITARITY
CALCULATION METHODS
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL OPERATORS
MECHANICS
PARTIAL DIFFERENTIAL EQUATIONS
WAVE EQUATIONS