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Studies in Löwdin's partitioning technique in quantum theory. I. Invertibility of the operator K

✍ Scribed by R. G. Wilson; C. S. Sharma

Publisher
John Wiley and Sons
Year
1981
Tongue
English
Weight
291 KB
Volume
20
Category
Article
ISSN
0020-7608

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✦ Synopsis

Abstract

In this paper we establish the necessary and sufficient conditions for the invertibility of the operator K in Löwdin's treatment of the partitioning technique for the solving problems in quantum mechanics.

📜 SIMILAR VOLUMES

Studies in Löwdin's partitioning techniq
Studies in Löwdin's partitioning technique in quantum theory. II. Operators T and Ω
✍ R. G. Wilson; C. S. Sharma 📂 Article 📅 1982 🏛 John Wiley and Sons 🌐 English ⚖ 273 KB

## Abstract Operator Ω and reaction operator __T__ of Löwdin are studied with a slightly different approach, which leads to a clearer understanding of their nature and brings out the relevance of the conditions for the invertibility of __K__ studied in the preceding work in this series.

The Time-Convolutionless Projection Oper
The Time-Convolutionless Projection Operator Technique in the Quantum Theory of Dissipation and Decoherence
✍ Heinz-Peter Breuer; Bernd Kappler; Francesco Petruccione 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 550 KB

The time-convolutionless projection operator method is used to investigate the non-Markovian dynamics of open quantum systems. On the basis of this method a systematic perturbation expansion for the reduced density matrix equation is obtained involving a time-dependent generator which is local in ti