B Software for quantum calculations?

houlahound
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is there any decent free simulators or software for doing the massive integrals involved with square of wave functions, the area under the square of them. transition probabilities, average position etc for systems more complex than a particle in a box.
 
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Nothing specific comes to mind that meets your description.
I use general math software. Octave, Maple etc .. .also mathematica, and Matlab.
The less the math software does for you the better.
 
I agree if I was a student or professional.

as I am an enthusiast/amateur, physics hobby guy I am free to take the lazy path and play with the results and let the pro's do the heavy lifting.

I found this goldmine of things to play with, topics available will keep me off the streets for the rest of this lifetime and into the next 3.

requires downloading their free app which was a huge download.

http://demonstrations.wolfram.com/HydrogenOrbitals/

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Not an expert in QM. AFAIK, Schrödinger's equation is quite different from the classical wave equation. The former is an equation for the dynamics of the state of a (quantum?) system, the latter is an equation for the dynamics of a (classical) degree of freedom. As a matter of fact, Schrödinger's equation is first order in time derivatives, while the classical wave equation is second order. But, AFAIK, Schrödinger's equation is a wave equation; only its interpretation makes it non-classical...
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
Is it possible, and fruitful, to use certain conceptual and technical tools from effective field theory (coarse-graining/integrating-out, power-counting, matching, RG) to think about the relationship between the fundamental (quantum) and the emergent (classical), both to account for the quasi-autonomy of the classical level and to quantify residual quantum corrections? By “emergent,” I mean the following: after integrating out fast/irrelevant quantum degrees of freedom (high-energy modes...

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