Awesome Quantum Mechanics ⚛️

"What is unpleasant here, and indeed directly to be objected to, is the use of complex numbers. Ψ is surely fundamentally a real function." Letter from Schrodinger to Lorentz. June 6th, 1926.

A professionally curated list of awesome resources on quantum mechanics – from foundational theory to cutting-edge applications.

This repository serves as a comprehensive and evolving collection of resources for students, researchers, and professionals interested in quantum mechanics, its mathematical foundations, and its intersections with quantum computing, quantum information, and quantum field theory. It includes carefully selected books, courses, videos, papers, tutorials, and open-source tools that cover a wide range of topics, from the postulates of quantum theory to modern formulations involving Hilbert spaces, quantum logic, and relativistic quantum theories.

If you’re learning quantum mechanics, teaching it, or building applications using quantum principles, this list will help guide your exploration and keep you updated on the latest developments.

Personal Note

This repository is a reflection of my academic and research journey in quantum mechanics, quantum control, and the mathematical structures that underlie physical theories

🧠 What You’ll Find:

Landmark books and theses on quantum foundations

Seminal papers by Dirac, von Neumann, and others

Lectures and video courses from leading universities and research institutes

Open-source libraries and tools in Python and Qiskit

Topics covering Hilbert spaces, quantum logic, projective geometry, operator algebras, relativistic quantum theory, and more

From quantum gates and teleportation to symmetry groups and spectral theory, quantum mechanics remains one of the most mathematically elegant and philosophically profound pillars of modern science. Its language — linear operators on Hilbert spaces — is now ubiquitous in both theoretical physics and practical quantum technologies.

As Dirac once said:

“The fundamental laws necessary for the mathematical treatment of a large part of physics and the whole of chemistry are thus completely known...”

Yet understanding and applying them still challenges and inspires us all.

⭐ Star the Repo and Share

If you find this project useful, please star ⭐ it and share it with peers, students, or collaborators.

Let’s build a community of open-access quantum knowledge — together.

Thanks Valeriy Manokhin for his repo on Awesome Conformal Prediction which inspire this one and Prof. Emmanuel Paspalakis for part of the curated content you see here as it is reference and bibliography of his courses.

Books 📚

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1. Geometry of Quamtum Theory - V.S. Varadarajan - 2nd. Edition - Springer - 1984
2. Mathematical Foundations of Quantum Mechanics - G. W. Mackey - 1963
3. Quantum Mechanics - A New Introduction - k. Konishi & G. Paffuti - Oxford University Press - 2013
4. Lectures on Quantum Mechanics - S. Weinberg - 2nd. Edition - Cambridge University Press - 2015
5. Basic Quantum Mechanics - Kyriakos Tamvakis - Springer - 2019
6. Quantum Mechanics - A Modern Development - L. E. Ballentine - Simon Fraser University - 1998
7. Quantum Information Science - R.Manenti & M Motta - Oxford University Press - 2023
8. Quantum Computing Architecture and Hardware for Engineers - Step by Step - H. Y. Wong - Springer - 2025
9. Relativistic Quantum Mechanics - J. Bjorken & S. Drell - McGraw Hill Book Company - 1964
10. Quantum Mechanics - L. Schiff - Third Edition - McGraw Hill Book Company - 1968
11. Foundations of Quantum Theory - From Classical Concepts to Operator Algebras - Springer - 2017

Papers 📑

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1. On the Theory of the Energy Distribution Law of the Normal Spectrum - M. Planck - Berlin - 1900
2. On the Constitution of Atoms and Molecules - N. Bohr - The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, Sixth Series - 1913
3. A Direct Photoelectric Determination of Planck's 'h' - R. A. Millikan - Phys. Rev., IV., 73, '14 - 1916
4. A Quantum Theory of the Scattering of X-Rays by Light Elements - A. H. Compton - Phys. Rev. - 1923
5. A Tentative Theory of Light Quanta - L. de Broglie - 1924
6. On Theory of Quanta - L. de Broigle - Ann. de Phys., 10e série, t. III - 1925
7. The Fundamental Equations of Quantum Mechanics - P. A. M. Dirac - Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, Vol. 109, No. 752 (Dec. 1, 1925), pp. 642-653 - 1925
8. Uber quantentheoretische Umdeutung kinematischer und mechanischer Beziehungen - W. Heisenberg - 1925
9. Quantisierung als Eigenwertproblem - E. Schrodinger - 1926
10. On the Quantum Mechanics of Collisions - M. Born - 1926
11. An undulatory Theory of the Mechanics of Atoms and Molecules - E. Schrodinger - Phys. Rev., Vol. 28, No. 6 - 1926
12. Uber den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik - W. Heinsenberg - 1927
13. Diffraction of Electrons by Crystal of Nickel - C. Davisson & L.H. Germer - Phys. Rev., Vol. 30, No. 6, - 1927
14. Experiments on the Diffraction of Cathode Rays - G. P. Thomson - 1927
15. The Statistical Interpreation of Quantum Mechanics - M. Born - Nobel Lecture - 1954
16. The Damping Problem in Wave Mechanics - L.D. Landau - 1965
17. Einstein Proposal of the Photon Concept (A Translation of the Annalen der Physik Paper of 1905) - A. B. Arons & M. B. Peppard - 1964

Courses 📽️

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1. An Introduction to Quantum Field Theory by Prof. Robert de Mello Koch: https://www.youtube.com/playlist?list=PLgaZ6JcYetK60tVC3-J92t9WVen5TmtiM

People 👨‍🔬👩‍🔬

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📝 Additional Info

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📌 Always remember

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"If you are not completely confused by quantum mechanics, you do not understand it." John Wheeler