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Wilson loop averages are evaluated for large contours and in the large N limit by means of minimal surfaces. This allows the study of the quark-antiquark gauge invariant Green function through its dependence on Wilson loops. A covariant…

High Energy Physics - Phenomenology · Physics 2007-05-23 F. Jugeau , H. Sazdjian

We propose in this paper an effective low-energy theory for interacting fermion systems which supports exclusion statistics. The theory can be viewed as an extension of Landau Fermi liquid theory where besides quasi-particle energy…

Strongly Correlated Electrons · Physics 2016-10-28 Tai-Kai Ng

In this paper we discuss a solution of the free particle Schrodinger equation in which the time and space dependence are not separable. The wavefunction is written as a product of exponential terms, Hermite polynomials and a phase. The…

Quantum Physics · Physics 2015-06-17 Paul Strange

This paper describes perturbative framework, on the basis of the closed-time-path formalism, in terms of quasiparticle picture for studying quasiuniform relativistic quantum field systems near equilibrium and nonequilibrium quasistationary…

High Energy Physics - Theory · Physics 2016-08-15 A. Niégawa

We use the Tomonaga-Schwinger (TS) formulation of quantum field theory to determine when state-dependent additions to the local Hamiltonian density (i.e., modifications to linear Schrodinger evolution) violate relativistic covariance. We…

High Energy Physics - Theory · Physics 2025-11-21 Stephen D. H. Hsu

We introduce the concept of the quark quasifragmentation function (qFF) using an equal-time and spatially boosted form of the Collins-Soper fragmentation function where the out-meson fragment is replaced by the current asymptotic condition.…

High Energy Physics - Phenomenology · Physics 2024-12-30 Sebastian Grieninger , Ismail Zahed

We evaluate the degree of quantum correlation between two fermions (bosons) subject to continuous time quantum walks in a one-dimensional ring lattice with periodic boundary conditions. In our approach, no particle-particle interaction is…

Quantum Physics · Physics 2012-04-17 Claudia Benedetti , Fabrizio Buscemi , Paolo Bordone

To model the decay of a quasibound state we use the modified two-potential approach introduced by Gurvitz and Kalbermann. This method has proved itself useful in the past for calculating the decay width and the energy shift of an isolated…

Nuclear Theory · Physics 2015-06-26 Bogdan Mihaila , Shmuel A. Gurvitz , David Dean , Witold Nazarewicz

Considering an $N$-level system interacting factorizably with a continuous spectrum, we derive analytical expressions for the bound states and the dynamical evolution within this single-excitation Friedrichs model by using the projection…

Quantum Physics · Physics 2025-12-22 Jia-Ming Zhang , Yu Xin , Bing Chen

Unlike ferromagnetism, antiferromagnetism cannot readily be included in the quasiclassical Keldysh theory because of the rapid spatial variation in the directions of the magnetic moments. The quasiclassical framework is useful because it…

Superconductivity · Physics 2023-05-19 Eirik Holm Fyhn , Arne Brataas , Alireza Qaiumzadeh , Jacob Linder

We consider the Schrodinger equation with an external potential and a cubic nonlinearity, in the semiclassical limit. The initial data are sums of WKB states, with smooth phases and smooth, compactly supported initial amplitudes, with…

Analysis of PDEs · Mathematics 2025-07-23 Remi Carles

We study an integrable system that is reducible to free fermions by a Jordan-Wigner transformation which is subjected to a Fibonacci driving protocol based on two non-commuting Hamiltonians. In the high frequency limit $\omega \to \infty$,…

Statistical Mechanics · Physics 2020-05-05 Somnath Maity , Utso Bhattacharya , Amit Dutta , Diptiman Sen

An interaction free evolving state of a closed bipartite system composed of two interacting subsystems is a generally mixed state evolving as if the interaction were a c-number. In this paper we find the characteristic equation of states…

We investigate the dynamics of two identical spinless fermions on a one-dimensional lattice with open boundary conditions (OBC), subject to quasiperiodic long-range interactions. Using numerical exact diagonalization (ED), we study this…

Quantum Gases · Physics 2026-04-16 Yun Zou

The generic bound of quantum speed limit time (the minimal evolution time) for a qubit system interacting with structural environment is investigated. We define a new bound for the quantum speed limit. It is shown that the non-Markovianity…

Quantum Physics · Physics 2015-09-23 Shao-xiong Wu , Yang Zhang , Chang-shui Yu , He-shan Song

Linear dynamics restricted to invariant submanifolds generally gives rise to nonlinear dynamics. Submanifolds in the quantum framework may emerge for several reasons: one could be interested in specific properties possessed by a given…

In a recent formulation of a quantum field theory of forward rates, the volatility of the forward rates was taken to be deterministic. The field theory of the forward rates is generalized to the case of stochastic volatility. Two cases are…

Soft Condensed Matter · Physics 2009-11-07 Belal E. Baaquie

A "quasiclassical" approximation to the quantum spectrum of the Schroedinger equation is obtained from the trace of a quasiclassical evolution operator for the "hydrodynamical" version of the theory, in which the dynamical evolution takes…

chao-dyn · Physics 2009-10-28 Predrag Cvitanovic , Gabor Vattay , Andreas Wirzba

It is shown that, in the non-relativistic limit, causal fermion systems give rise to an effective collapse theory. The nonlinear and stochastic correction terms to the Schr\"odinger equation are derived from the causal action principle. The…

Mathematical Physics · Physics 2024-09-12 Felix Finster , Johannes Kleiner , Claudio F. Paganini

The mathematical content of the interaction term of quantum electrodynamics is examined under the following assumption: It is presumed that the apparent degrees-of-freedom of the photon field reflect the kinematical degrees-of-freedom of…

General Physics · Physics 2009-12-21 Walter Smilga
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