ar X iv : 1 60 3 . 02 77 5 v 1 [ qu an t - ph ] 9 M ar 2 01 6 Canonical description of 1 D few - body systems with short range interaction
نویسنده
چکیده
We address the fundamental interplay between indistinguishability and interactions when discreteness effects are neglected in systems with strictly fixed number of particles. For this end we supplement cluster expansions (many-body canonical techniques where quantum statistics is treated exactly) with short-time/large volume dynamical information where interparticle forces are described non-perturbatively. This approach, specially suitable for the few-body case where it overcomes the inappropriate use of virial expansions, can be consistently combined with scaling considerations, minimal ground-state information and strong coupling expansions in such a way that a single interaction event provides most of the thermodynamic and spectral properties of 1D systems with short range interactions. Our analytical results, in excellent agreement with numerical simulations, show a form of universal integrability of interaction effects for arbitrary confinements.
منابع مشابه
ar X iv : 1 60 1 . 02 68 2 v 2 [ qu an t - ph ] 1 8 M ar 2 01 6 Parametric number covariance in quantum chaotic spectra
We study spectral parametric correlations in quantum chaotic systems and introduce the number covariance as a measure of such correlations. We derive analytic results for the classical random matrix ensembles using the binary correlation method and obtain compact expressions for the covariance. We illustrate the universality of this measure by presenting the spectral analysis of the quantum kic...
متن کاملar X iv : 1 60 3 . 02 20 5 v 1 [ m at h - ph ] 7 M ar 2 01 6 Operator Approach to the Master Equation for the One - Step Process
M. Hnatich, ∗ E. G. Eferina, † A. V. Korolkova, ‡ D. S. Kulyabov, 3, § and L. A. Sevastyanov 1, ¶ Bogoliubov Laboratory of Theoretical Physics Joint Institute for Nuclear Research Joliot-Curie 6, Dubna, Moscow region, 141980, Russia Department of Applied Probability and Informatics Peoples’ Friendship University of Russia Miklukho-Maklaya str. 6, Moscow, 117198, Russia Laboratory of Information...
متن کاملar X iv : 1 11 1 . 37 97 v 1 [ qu an t - ph ] 1 6 N ov 2 01 1 Prony ’ s method and the connected – moments expansion
متن کامل
ar X iv : 0 70 6 . 02 37 v 2 [ qu an t - ph ] 1 1 Ju n 20 08 Quantum Mechanics in Phase Space
The basics of the Wigner formulation of Quantum-Mechanics and few related interpretational issues are presented in a simple language. This formulation has extensive applications in Quantum Optics and in Mixed Quantum-Classical formulations.
متن کاملar X iv : 0 70 6 . 02 37 v 1 [ qu an t - ph ] 1 J un 2 00 7 Quantum Mechanics in Phase Space
In this paper, I am presenting the basics of the Wigner formulation of Quantum-Mechanics in a very simple language and write about few interpretational stuff raised around it.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016