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We prove that the complex Euclidean field theory with local quartic self-interaction in two dimensions arises as a limit of an interacting Bose gas at positive temperature, when the density of the gas becomes large and the range of the…

Mathematical Physics · Physics 2023-01-10 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

To describe the ``slow'' motions of n interacting mass points, we give the most general 4-d non-instantaneous, non-particle symmetric Galilei-invariant variational principle. It involves two-body invariants constructed from particle…

Astrophysics · Physics 2007-05-23 Harry Woodcock , Peter Havas

The derivation of linear response theory within polarizable embedding is carried out from a rigorous quantum-mechanical treatment of a composite system. Two different subsystem decompositions (symmetric and nonsymmetric) of the linear…

Chemical Physics · Physics 2017-10-09 Nanna Holmgaard List , Patrick Norman , Jacob Kongsted , Hans Jørgen Aagaard Jensen

This paper is a generalization of earlier papers [Nucl. Phys. B 884, 344 (2014) (arXiv:1312.2759) and JHEP 6, 63 (2015) (arXiv:1401.2488)]. We generalize the idea of quantum clock time to quantum spacetime reference frame via physical…

General Relativity and Quantum Cosmology · Physics 2018-03-20 M. J. Luo

We pose the converse Madelung question: not whether Fisher information can reproduce quantum mechanics, but whether it is necessary. We work with minimal, physically motivated axioms on density and phase: locality, probability conservation,…

Quantum Physics · Physics 2025-11-17 Jonathan R Dunkley

We derive the criteria for the Thomas-Fermi regime of a dipolar Bose-Einstein condensate in cigar, pancake and spherical geometries. This also naturally gives the criteria for the mean-field one- and two-dimensional regimes. Our…

Other Condensed Matter · Physics 2009-11-13 N. G. Parker , D. H. J. O'Dell

We evaluate analytically some ground state properties of two-dimensional harmonically confined Fermi vapors with isotropy and for an arbitrary number of closed shells. We first derive a differential form of the virial theorem and an…

Statistical Mechanics · Physics 2009-11-07 A. Minguzzi , N. H. March , M. P. Tosi

We show that the dynamics resulting from preparing a one-dimensional quantum system in the ground state of two decoupled parts, then joined together and left to evolve unitarily with a translational invariant Hamiltonian (a local quench),…

Statistical Mechanics · Physics 2009-11-13 Pasquale Calabrese , John Cardy

On the basis of a microscopic model of self-consistent field, the thermodynamics of the many-particle Fermi system at finite temperatures with account of three-body interactions is built and the quasiparticle equations of motion are…

Statistical Mechanics · Physics 2015-12-29 Yu. M. Poluektov , A. A. Soroka , S. N. Shulga

A system of two interacting protofields with generic parameters is unstable with respect to unceasing cycles of nonlinear squeeze (reduction) to randomly chosen centres and reverse extension which form the causally probabilistic process of…

Quantum Physics · Physics 2007-05-23 Andrei P. Kirilyuk

The energy dissipation in a gas of structured objects, e.g. molecules, is considered in density matrix formalism. It is shown that the macroscopic irreversibility of the kinetic processes can be considered as a consequence of the…

Quantum Physics · Physics 2009-04-24 M. V. Altaisky

Motion equations describing streams of relativistic particles and their properties are explored in detail in the framework of Cosmological Perturbation Theory. Those equations, derived in any metric both in the linear and nonlinear regimes,…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Hélène Dupuy , Francis Bernardeau

In this work the root to macroscopic quantum effects is revealed based on the quasiparticle model of collective excitations in an arbitrary degenerate electron gas. The $N$-electron quantum system is considered as $N$ streams coupled,…

Quantum Physics · Physics 2023-11-17 M. Akbari-Moghanjoughi

A quantitative test for the validity of the semi-classical approximation in gravity is given. The criterion proposed is that solutions to the semi-classical Einstein equations should be stable to linearized perturbations, in the sense that…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Paul R. Anderson , Carmen Molina-Paris , Emil Mottola

The complete charge-current density and field strength of an arbitrarily accelerated relativistic point-charge are explicitly calculated. That current includes, apart from the well-established delta-function term which is sufficient for its…

Classical Physics · Physics 2008-12-31 Andre Gsponer

A unified approach valid for any wavenumber, frequency, and temperature is presented for uniform ideal quantum gases allowing for a comprehensive study of number density and particle-current density response functions. Exact analytical…

Quantum Gases · Physics 2015-05-14 J. Bosse , K. N. Pathak , G. S. Singh

A unified scheme for treating generalized superselection sectors is proposed on the basis of the notion of selection criteria to characterize states of relevance to each specific domain in quantum physics, ranging from the relativistic…

Mathematical Physics · Physics 2007-05-23 Izumi Ojima

This paper is devoted to the problem of sampling Gaussian fields in high dimension. Solutions exist for two specific structures of inverse covariance : sparse and circulant. The proposed approach is valid in a more general case and…

Computation · Statistics 2011-05-31 F. Orieux , O. Féron , J. -F. Giovannelli

We study the Hall constant in a homogeneous two-dimensional fluid of correlated electrons immersed in a perpendicular magnetic field, with special focus on the regime of low carrier density. The model consists of a one-band tight-binding…

Strongly Correlated Electrons · Physics 2024-01-31 Giacomo Morpurgo , Louk Rademaker , Christophe Berthod , Thierry Giamarchi

We consider a particle undergoing Brownian motion in Euclidean space of any dimension, forced by a Gaussian random velocity field that is white in time and smooth in space. We show that conditional on the velocity field, the quenched…

Probability · Mathematics 2022-02-09 Alexander Dunlap , Yu Gu
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