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In these notes, we present a rigorous and self-contained introduction to the fundamental concepts and methods of quantum many-body theory. The text is designed to provide a solid theoretical foundation for the study of interacting quantum…

Other Condensed Matter · Physics 2026-02-24 Fabrizio Tafuri , Carmine Antonio Perroni , Giulio De Filippis

This is a set of four lectures presented at the Theoretical Advanced Study Institute (TASI-09) in June 2009. The goal of the lectures is to introduce students to some of the basic ideas and tools required for theoretical analysis of…

High Energy Physics - Phenomenology · Physics 2017-08-23 Maxim Perelstein

It is shown that the photon, the quantum of electromagnetic field, allows the consideration in the framework of the scheme which in some aspects is typical for the phonon, an excitation of the crystal lattice of a solid. The conclusion is…

Quantum Physics · Physics 2007-05-23 Volodymyr Krasnoholovets

We consider an effective quasi-bosonic Hamiltonian of the electron gas which emerges naturally from the random phase approximation and describes the collective excitations of the gas. By a rigorous argument, we explain how the plasmon modes…

Mathematical Physics · Physics 2022-11-14 Martin Ravn Christiansen , Christian Hainzl , Phan Thành Nam

Solitons are the classical field configurations connecting two trivial vacua. These are also the solutions of classical field equations of motion with particle-like properties. Moreover, they are localized in space, having finite energy,…

High Energy Physics - Theory · Physics 2021-11-10 Susobhan Mandal

The first LHC results at 7-8 TeV, with the discovery of a candidate Higgs boson and the non observation of new particles or exotic phenomena, have made a big step towards completing the experimental confirmation of the Standard Model (SM)…

High Energy Physics - Phenomenology · Physics 2013-11-05 Guido Altarelli

In the recent years there was published some papers in which the photons are represented as electromagnetic solitons [1,2,3]. All particles - solitons - represent some electromagnetic field restricted in a very small volume, length,…

Atomic Physics · Physics 2007-05-23 Pavel S. Kamenov

The goal of these lectures is to introduce readers with a basic knowledge of undergraduate physics (specifically non-relativistic quantum mechanics, special relativity, and electromagnetism) to the `current theory of everything': the…

High Energy Physics - Phenomenology · Physics 2020-06-25 Ben Gripaios

We introduce an effective point-particle action for generic particles living in a zero-temperature superfluid. This action describes the motion of the particles in the medium at equilibrium as well as their couplings to sound waves and…

High Energy Physics - Theory · Physics 2018-04-25 Alberto Nicolis , Riccardo Penco

We develop a systematic theory of multi-particle excitations in strongly interacting Fermi systems. Our work is the generalization of the time-honored work by Jackson, Feenberg, and Campbell for bosons, that provides, in its most advanced…

Other Condensed Matter · Physics 2017-07-21 H. M. Böhm , R. Holler , E. Krotscheck , M. Panholzer

This is the second in a series of papers intended to provide a basic overview of some of the major ideas in particle physics. Part I [arXiv:0810.3328] was primarily an algebraic exposition of gauge theories. We developed the group theoretic…

High Energy Physics - Theory · Physics 2009-09-30 Matthew B. Robinson , Tibra Ali , Gerald B. Cleaver

Many-body physics describes phenomena which cannot be understood looking at a systems' constituents alone. Striking manifestations are broken symmetry, phase transitions, and collective excitations. Understanding how such collective…

A new approach based on macro-orbital representation of a conduction electron in a solid has been used to discover some untouched aspects of the phonon induced attraction between two electrons and to lay the basic foundations of a general…

Superconductivity · Physics 2007-05-23 Yatendra S. Jain

These lectures introduce key concepts in probability and statistical inference at a level suitable for graduate students in particle physics. Our goal is to paint as vivid a picture as possible of the concepts covered.

Data Analysis, Statistics and Probability · Physics 2007-05-23 Harrison B. Prosper

The Asia-Europe-Pacific School of High-Energy Physics is intended to give young physicists an introduction to the theoretical aspects of recent advances in elementary particle physics. These proceedings contain lecture notes on quantum…

High Energy Physics - Phenomenology · Physics 2018-05-15 Martijn Mulders , Rohini Godbole

We have analyzed low-temperature behavior of two-dimensional electron gas in polar heterostructures subjected to a high electric field. When the optical phonon emission is the fastest relaxation process, we have found existence of…

Mesoscale and Nanoscale Physics · Physics 2012-10-29 V. V. Korotyeyev , V. A. Kochelap , L. Varani

The equilibrium state of a system consisting of a large number of strongly interacting electrons can be characterized by its density operator. This gives a direct access to the ground-state energy or, at finite temperatures, to the free…

Strongly Correlated Electrons · Physics 2012-02-23 Michael Potthoff

This teaching article describes a simple and low-cost methodology for studying electrical transport and constructing basic sensor devices using everyday stationery items, including pencils, paper, and a handheld multimeter. The approach is…

Physics Education · Physics 2024-05-14 Pablo Bastante , Andres Castellanos-Gomez

This thesis is devoted to a rigorous study of interacting quantum gases. The main objects of interest are the closely related concepts of excitation spectrum and quasiparticles. The immediate motivation of this work is to propose a spectral…

Mathematical Physics · Physics 2014-09-03 Marcin Napiórkowski

This document consists of lecture notes for a graduate course, which focuses on the relations between Information Theory and Statistical Physics. The course is aimed at EE graduate students in the area of Communications and Information…

Information Theory · Computer Science 2010-06-09 Neri Merhav