Please use this identifier to cite or link to this item:
|Title:||Action with acceleration II: Euclidean hamiltonian and jordan blocks||Authors:||Baaquie, B.E.||Keywords:||Economics
Quantum systems with finite Hilbert space
|Issue Date:||30-Oct-2013||Citation:||Baaquie, B.E. (2013-10-30). Action with acceleration II: Euclidean hamiltonian and jordan blocks. International Journal of Modern Physics A 28 (27) : -. ScholarBank@NUS Repository. https://doi.org/10.1142/S0217751X13501388||Abstract:||The Euclidean action with acceleration has been analyzed in Ref. 1, and referred to henceforth as Paper I, for its Hamiltonian and path integral. In this paper, the state space of the Hamiltonian is analyzed for the case when it is pseudo-Hermitian (equivalent to a Hermitian Hamiltonian), as well as the case when it is inequivalent. The propagator is computed using both creation and destruction operators as well as the path integral. A state space calculation of the propagator shows the crucial role played by the dual state vectors that yields a result impossible to obtain from a Hermitian Hamiltonian. When it is not pseudo-Hermitian, the Hamiltonian is shown to be a direct sum of Jordan blocks. © 2013 World Scientific Publishing Company.||Source Title:||International Journal of Modern Physics A||URI:||http://scholarbank.nus.edu.sg/handle/10635/95726||ISSN:||0217751X||DOI:||10.1142/S0217751X13501388|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jun 19, 2019
WEB OF SCIENCETM
checked on Jun 11, 2019
checked on May 24, 2019
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.