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Quantum Simulation
Entanglement Theory Quantum Correlations
Open Quantum Systems Decoherence
Quasi-Feynman formulas for a Schroedinger equation with a Hamiltonian equal to a finite sum of operators
arXiv
Authors: Ivan D. Remizov
Year
2015
Paper ID
27108
Status
Preprint
Abstract Read
~2 min
Abstract Words
79
Citations
N/A
Abstract
In this short communication I generalize the method of obtaining quasi-Feynman formulas described in my previous paper on that topic. The theorem presented allows to obtain the solution to the Cauchy problem for the Schrödinger equation with the Hamiltonian decomposed to a finite sum of operators. The concept of Chernoff tangency is used, and the solution is written in the form of a quasi-Feynman formula as before. Theorem proven is compared to known approximation theorems: Trotter's, Chernoff's, Butko-Schilling-Smolyanov's.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- In this short communication I generalize the method of obtaining quasi-Feynman formulas described in my previous paper on that topic.
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