COMMENTS ON THE STRUCTURAL FEATURES OF THE PAIS–UHLENBECK OSCILLATOR-Reference-Cited by-同舟云学术

COMMENTS ON THE STRUCTURAL FEATURES OF THE PAIS–UHLENBECK OSCILLATOR

Published:2013-05-10 Issue:14 Volume:28 Page:1375001
ISSN:0217-7323
Container-title:Modern Physics Letters A
language:en
Short-container-title:Mod. Phys. Lett. A

Author:

BAGCHI B.¹,CHOUDHURY A. GHOSE²,GUHA PARTHA³

Affiliation:

1. Department of Applied Mathematics, University of Calcutta, 92 Acharya Prafulla Chandra Road, Kolkata – 700009, India

2. Department of Physics, Surendranath College, 24/2 Mahatma Gandhi Road, Kolkata – 700009, India

3. S.N. Bose National Centre for Basic Sciences, JD Block, Sector III, Salt Lake, Kolkata – 700098, India

Abstract

We explore the Jacobi last multiplier (JLM) as a means for deriving the Lagrangian of a fourth-order differential equation. In particular, we consider the classical Pais–Uhlenbeck problem and write down the accompanying Hamiltonian. We then compare such an expression with our alternative derivation of the Hamiltonian that makes use of the Ostrogradski's method and show how a mapping from the one to the other is achievable by variable transformations.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0217732313750011

Reference41 articles.

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2. CANONICAL QUANTIZATION AND MASS SPECTRUM OF RELATIVISTIC PARTICLE ANALOGUE OF RELATIVISTIC STRING WITH RIGIDITY

3. MASSLESS POINT PARTICLE WITH RIGIDITY

4. Massless particle with rigidity as a model for the description of bosons and fermions

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