2008/06/12 by Nabaghan Santi, Santi, Nabaghan
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.48550/arxiv.0806.2048
Ph.D thesis submitted to Sambalpur University, September 2006
arxiv created 2008/06/12 · openalex publication_date 2008/06/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A new method of approximation scheme with potential application to a general interacting quantum system is presented. The method is non-perturbative, self- consistent, systematically improvable and uniformly applicable for arbitrary strength of interaction. It thus overcomes the various limitations of the exsting methods such as the perturbation theory, the variational method, the WKBJ method and other approximation schemes. The current method has been successfully applied to a variety of interacting systems including the anharmonic/ double-well oscillators (with quartic-, sextic- and octic couplings) and the scalar field theory with quartic-coupling in the symmetric phase. The method yields important insight in to the structure and stability of the interacting-vacuum of the theory. The results are in good agreement with the exact predictions of supersymmetry where ever applicable. Possible further applications in the areas of quantum statistics, finite temperature field theory, condensed matter physics etc are also discussed.