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Title: Action with acceleration I: Euclidean hamiltonian and path integral
Authors: Baaquie, B.E. 
Keywords: Economics
Linear algebra
Quantum mechanics
Quantum systems with finite Hilbert space
Issue Date: 30-Oct-2013
Citation: Baaquie, B.E. (2013-10-30). Action with acceleration I: Euclidean hamiltonian and path integral. International Journal of Modern Physics A 28 (27) : -. ScholarBank@NUS Repository.
Abstract: An action having an acceleration term in addition to the usual velocity term is analyzed. The quantum mechanical system is directly defined for Euclidean time using the path integral. The Euclidean Hamiltonian is shown to yield the acceleration Lagrangian and the path integral with the correct boundary conditions. Due to the acceleration term, the state space depends on both position and velocity - and hence the Euclidean Hamiltonian depends on two degrees of freedom. The Hamiltonian for the acceleration system is non-Hermitian and can be mapped to a Hermitian Hamiltonian using a similarity transformation; the matrix elements of the similarity transformation are explicitly evaluated. © 2013 World Scientific Publishing Company.
Source Title: International Journal of Modern Physics A
ISSN: 0217751X
DOI: 10.1142/S0217751X13501376
Appears in Collections:Staff Publications

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