Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Quantum mechanics explained

Mohrhoff, U

Published Jul 2, 2006• 12 citations
OpenAlex

Abstract

The physical motivation for the mathematical formalism of quantum mechanics is made clear and compelling by starting from an obvious fact - essentially, the stability of matter - and inquiring into its preconditions: what does it take to make this fact possible?

Related papers

QUANTUM MECHANICS EXPLAINED

ULRICH MOHRHOFF

The physical motivation for the mathematical formalism of quantum mechanics is made clear and compelling by starting from an obvious fact — essentially, the stability of matter — and inquiring into its preconditions: what does it take to make this obvious fact possible?

arXiv:quant-ph/0607005•International Journal of Quantum Information•Feb 1, 2009•6 citations

Origins of quantum mechanics

Jeff Greensite

Written in a lucid and engaging style, the author takes readers from an overview of classical mechanics and the historical development of quantum theory through to advanced topics. The mathematical aspects of quantum theory necessary for a firm grasp of the subject are developed in the early chapters, but an effort is made to motivate that formalism on physical grounds. Including animated figures and their respective Mathematica® codes, this book provides a complete and comprehensive text for students in physics, maths, chemistry and engineering needing an accessible introduction to quantum mechanics. Supplementary Mathematica codes available within Book Information

Institute of Physics eBooks•Feb 1, 2017•0 citations

Do we understand quantum mechanics – finally?

Jürg Martin Fröhlich, Baptiste Schubnel

This paper reviews some of our understanding of general quantum mechanics. It starts with the exposition of an abstract algebraic formalism useful to formulate classical and quantum-mechanical models of physical systems. It then highlights the essential differences between classical models (commutative algebra) and quantum-mechanical models (non-commutative algebra) of physical systems. It is explained in which sense classical models are “realistic” and deterministic, while quantum-mechanical models are intrinsically probabilistic – in spite of the fact that the Heisenberg time-evolution of operators representing physical quantities is “deterministic”. The quantum theory of time-ordered sequences of measurements is developed in some detail, and the crucial role of “decoherence” in the emergence of facts – or “(almost) consistent histories” – is explained. Some technical matters (Bell inequalities, quantum marginal problem) are discussed in appendices.

ESI lectures in mathematics and physics•Apr 11, 2013•9 citations

The basic ideas of quantum mechanics

David Ellerman

For a century, quantum theorists have been reading the mathematical entrails of quantum mechanics (QM) to divine the nature of quantum reality. But to little avail. In this paper a different approach is taken, namely to identify and explain the basic intuitive ideas involved in QM. This does not tell one how those basic `gears' all mesh together in the beautiful mathematics of QM. But this does give one some intuitive (\textit{anschaulich})) ideas about the quantum reality described in the seemingly hard-to-interpret mathematical framework.

arXiv:2509.15819•Sep 19, 2025•0 citations

SPECTRAL THEORY FOR THREE BODY QUANTUM SYSTEM IN TWO DIMENSION

A Srinivas, Puneet Agarwal

The mathematical formulas of quantum mechanics are those mathematical formalisms that license a thorough depiction of quantum mechanics. This mathematical formalism utilizes essentially a piece of practical examination, particularly Hilbert space which is a sort of linear space. We have explored S-wave bound states made out of three indistinguishable bosons communicating by means of controlled delta work possibilities in non-relativistic quantum mechanics. For low-vitality frameworks, these short-go possibilities fill in as a guess to the basic physics, prompting a compelling field theory. A strategy for perturbatively growing the three-body bound-state condition in reverse powers of the cutoff is created. This permits us to extricate some expository outcomes concerning the behavior of the framework.

Journal of Critical Reviews•Jan 1, 2020•2 citations

The Physics of Quantum Mechanics

James Jeffrey Binney, David Skinner

The Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. It shows that the theory follows naturally from the use of probability amplitudes to derive probabilities. It stresses that stationary states are unphysical mathematical abstractions that enable us to solve the theory's governing equation, the time-dependent Schroedinger equation. Every opportunity is taken to illustrate the emergence of the familiarclassical, dynamical world through the quantum interference of stationary states. The text stresses the continuity be

•Dec 5, 2008•42 citations
Written in a lucid and engaging style, the author takes readers from an overview of classical mechanics and the historical development of quantum theory through to advanced topics. The mathematical aspects of quantum theory necessary for a firm grasp of the subject are developed in the early chapters, but an effort is made to motivate that formalism on physical grounds. Including animated figures and their respective Mathematica® codes, this book provides a complete and comprehensive text for students in physics, maths, chemistry and engineering needing an accessible introduction to quantum mechanics. Supplementary Mathematica codes available within Book Information
This paper reviews some of our understanding of general quantum mechanics. It starts with the exposition of an abstract algebraic formalism useful to formulate classical and quantum-mechanical models of physical systems. It then highlights the essential differences between classical models (commutative algebra) and quantum-mechanical models (non-commutative algebra) of physical systems. It is explained in which sense classical models are “realistic” and deterministic, while quantum-mechanical models are intrinsically probabilistic – in spite of the fact that the Heisenberg time-evolution of operators representing physical quantities is “deterministic”. The quantum theory of time-ordered sequences of measurements is developed in some detail, and the crucial role of “decoherence” in the emergence of facts – or “(almost) consistent histories” – is explained. Some technical matters (Bell inequalities, quantum marginal problem) are discussed in appendices.
For a century, quantum theorists have been reading the mathematical entrails of quantum mechanics (QM) to divine the nature of quantum reality. But to little avail. In this paper a different approach is taken, namely to identify and explain the basic intuitive ideas involved in QM. This does not tell one how those basic `gears' all mesh together in the beautiful mathematics of QM. But this does give one some intuitive (\textit{anschaulich})) ideas about the quantum reality described in the seemingly hard-to-interpret mathematical framework.
The mathematical formulas of quantum mechanics are those mathematical formalisms that license a thorough depiction of quantum mechanics. This mathematical formalism utilizes essentially a piece of practical examination, particularly Hilbert space which is a sort of linear space. We have explored S-wave bound states made out of three indistinguishable bosons communicating by means of controlled delta work possibilities in non-relativistic quantum mechanics. For low-vitality frameworks, these short-go possibilities fill in as a guess to the basic physics, prompting a compelling field theory. A strategy for perturbatively growing the three-body bound-state condition in reverse powers of the cutoff is created. This permits us to extricate some expository outcomes concerning the behavior of the framework.
The Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. It shows that the theory follows naturally from the use of probability amplitudes to derive probabilities. It stresses that stationary states are unphysical mathematical abstractions that enable us to solve the theory's governing equation, the time-dependent Schroedinger equation. Every opportunity is taken to illustrate the emergence of the familiarclassical, dynamical world through the quantum interference of stationary states. The text stresses the continuity be