Publication:
Action with acceleration I: Euclide Hamiltonian and path integral
| DC Field | Value | |
|---|---|---|
| dc.contributor.author | Baaquie, Belal E. | |
| dc.date.accessioned | 2017-07-20T03:04:34Z | |
| dc.date.available | 2017-07-20T03:04:34Z | |
| dc.date.issued | 2013 | |
| dc.description.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 this unbounded transformation is explicitly evaluated. The mapping fails for a critical value of the coupling constants. | en_US |
| dc.identifier.citation | Baaquie, Belal E. (2013). Action with acceleration I: Euclide Hamiltonian and path integral. International Journal of Modern Physics, 28 (27). | en_US |
| dc.identifier.issn | 1793-656X (Online) | |
| dc.identifier.uri | http://www.worldscientific.com/doi/abs/10.1142/S0217751X13501376 | |
| dc.identifier.uri | https://ikr.inceif.org/handle/INCEIF/2569 | |
| dc.language | English | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publishing Co Pte Ltd | en_US |
| dc.rights | 2013. World Scientific Publishing Co Pte Ltd | |
| dc.source | SEDONA | |
| dc.subject | Quantum mechanics | en_US |
| dc.subject | Quantum systems with finite Hilbert space | en_US |
| dc.subject | Linear algebra|Economics | en_US |
| dc.title | Action with acceleration I: Euclide Hamiltonian and path integral | en_US |
| dc.type | Journal Article | en_US |
| dlc.maintopic | Conventional finance | |
| dlc.subtopic | Economics | |
| dspace.entity.type | Publication | |
| ikr.doctype | Scholarly Works | |
| ikr.topic.maintopic | Conventional finance | en_US |
| ikr.topic.subtopic | Economics | en_US |
| Appears in Collections |