I What Mathematical Theories Are Essential for Understanding Quantum Physics?

Michel Raskin
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Besides the basics what are the theories in math that I need to know for learning quantum physics?
And what books do you recommend for learning then?
 
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I suggest a forum search. Your question has been answered here several times. A good place to start is often the links provided at the end of this page (these are bot-generated, so may not be as applicable as you would like but still ... a good place to start).
 
You basically need linear algebra and calculus. A good grasp of complex algebra is also necessary.
 
J. J. Sakurai, Modern Quantum Mechanics
 
Alright thank you all I will look up
 
I read Hanbury Brown and Twiss's experiment is using one beam but split into two to test their correlation. It said the traditional correlation test were using two beams........ This confused me, sorry. All the correlation tests I learnt such as Stern-Gerlash are using one beam? (Sorry if I am wrong) I was also told traditional interferometers are concerning about amplitude but Hanbury Brown and Twiss were concerning about intensity? Isn't the square of amplitude is the intensity? Please...
I am not sure if this belongs in the biology section, but it appears more of a quantum physics question. Mike Wiest, Associate Professor of Neuroscience at Wellesley College in the US. In 2024 he published the results of an experiment on anaesthesia which purported to point to a role of quantum processes in consciousness; here is a popular exposition: https://neurosciencenews.com/quantum-process-consciousness-27624/ As my expertise in neuroscience doesn't reach up to an ant's ear...
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA

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