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Small Matrix Decomposition of Feynman Path Amplitudes
- Source :
- Journal of Chemical Theory and Computation. 17:3825-3829
- Publication Year :
- 2021
- Publisher :
- American Chemical Society (ACS), 2021.
-
Abstract
- The small matrix decomposition of the path integral (SMatPI) is employed to devise expressions for the quantum mechanical amplitude of forward-backward paths in the path integral formulation. The amplitude is expressed as a sum of small matrix products, whose size is equal to that of the system's reduced density matrix, allowing the treatment of composite systems consisting of interacting subunits without the large storage requirements of the full amplitude tensor. Representative applications on a four-spin system with the topology of the basic dendrimer block are presented.
- Subjects :
- Physics
010304 chemical physics
Mathematical analysis
Topology (electrical circuits)
01 natural sciences
Computer Science Applications
Matrix decomposition
symbols.namesake
Matrix (mathematics)
Amplitude
0103 physical sciences
Path integral formulation
Path (graph theory)
symbols
Feynman diagram
Tensor
Physical and Theoretical Chemistry
Subjects
Details
- ISSN :
- 15499626 and 15499618
- Volume :
- 17
- Database :
- OpenAIRE
- Journal :
- Journal of Chemical Theory and Computation
- Accession number :
- edsair.doi.dedup.....35bb17c3cc983f5e10d83650e5f63178