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We review a possible framework for (non)linear quantum theories, into which linear quantum mechanics fits as well, and discuss the notion of ``equivalence'' in this setting. Finally, we draw the attention to persisting severe problems of…

Quantum Physics · Physics 2007-05-23 Peter Nattermann

The issue of ontology in quantum mechanics, or equivalently the issue of the reality of the wave function is critically examined within standard quantum theory. It is argued that though no strict ontology is possible within quantum theory,…

Quantum Physics · Physics 2014-12-05 N. D. Hari Dass

This series of lectures consists of two parts. In the first part the foundations of perturbative and non perturbative formulation are discussed. The ambiguity in the definition of vacuum condensates is then analyzed. In the second part the…

High Energy Physics - Lattice · Physics 2007-05-23 Adriano Di Giacomo

The central theme of this thesis is to study some aspects of noncommutative quantum mechanics and noncommutative quantum field theory. We explore how noncommutative structures can emerge and study the consequences of such structures in…

High Energy Physics - Theory · Physics 2008-08-26 Sunandan Gangopadhyay

The basic adiabatic theorems of classical and quantum mechanics are over-viewed and an adiabatic theorem in quantum mechanics without a gap condition is described.

Mathematical Physics · Physics 2007-05-23 J. E. Avron , A. Elgart

This paper is a commentary on the foundational significance of the Clifton-Bub-Halvorson theorem characterizing quantum theory in terms of three information-theoretic constraints (Foundations of Physics 33, 1561-1591 (2003);…

Quantum Physics · Physics 2007-05-23 Jeffrey Bub

An introduction to loop quantum gravity is given, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions. It is structured in five lectures, including exercises, and…

General Relativity and Quantum Cosmology · Physics 2016-07-19 Norbert Bodendorfer

Some very elementary ideas about quantum groups and quantum algebras are introduced and a few examples of their physical applications are mentioned.

Mathematical Physics · Physics 2007-05-23 R. Jaganathan

How can quantum mechanics be (i) the fundamental theoretical framework of contemporary physics and (ii) a probability calculus that presupposes the events to which, and on the basis of which, it assigns probabilities? The question is…

Quantum Physics · Physics 2016-04-06 Ulrich Mohrhoff

We derive the category-theoretic backbone of quantum theory from a process ontology. More specifically, we treat quantum theory as a theory of systems, processes and their interactions. In this first part of a three-part overview, we first…

Quantum Physics · Physics 2016-05-30 Bob Coecke , Aleks Kissinger

This is a short introduction to quantum computers, quantum algorithms and quantum error correcting codes. Familiarity with the principles of quantum theory is assumed. Emphasis is put on a concise presentation of the principles avoiding…

Quantum Physics · Physics 2007-05-23 Christof Zalka

In these lectures we present a few topics in Quantum Field Theory in detail. Some of them are conceptual and some more practical. They have been selected because they appear frequently in current applications to Particle Physics and String…

High Energy Physics - Theory · Physics 2013-02-21 Luis Alvarez-Gaume , Miguel A. Vazquez-Mozo

The basic principles of Affine Quantum Gravity are presented in a pedagogical style with a limited number of equations.

General Relativity and Quantum Cosmology · Physics 2007-05-23 John R. Klauder

In this paper a didactic approach is described which immediately leads to an understanding of those postulates of quantum mechanics used most frequently in quantum computation. Moreover, an interpretation of quantum mechanics is presented…

Quantum Physics · Physics 2008-01-22 Christian Jansson

A discussion of different criteria of consistency of quantum field theory from the point of view of physics and mathematics.

History and Philosophy of Physics · Physics 2008-02-03 Howard J. Schnitzer

We concern with various aspects of equilibrium and non-equilibrium quantum field theory.

High Energy Physics - Theory · Physics 2007-05-23 Petr Jizba

The non-individuals interpretation of quantum mechanics is presented with the aim of clarifying it and highflying some of its salient features. Alternative formulations of it are proposed and examined.

Quantum Physics · Physics 2020-08-27 Décio Krause , Jonas R. B. Arenhart , Otávio Bueno

Quantum theory departs from classical physics in its treatment of correlations, most prominently through the phenomena of contextuality and nonlocality. Once regarded primarily as foundational curiosities, these effects are now understood…

Quantum Physics · Physics 2026-02-27 Jianqi Sheng , Dongkai Zhang , Lixiang Chen

Here I explore a novel no-collapse interpretation of quantum mechanics which combines aspects of two familiar and well-developed alternatives, Bohmian mechanics and the many-worlds interpretation. Despite reproducing the empirical…

Quantum Physics · Physics 2015-04-03 Charles Sebens

In this paper, we examine the state art of quantum computing and analyze its potential effects in scientific computing and cybersecurity. Additionally, a non-technical description of the mechanics of the listed form of computing is provided…

Popular Physics · Physics 2021-05-21 Giovanny Espitia