Quantum Mechanics Wave Function in 3D

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SUMMARY

The discussion centers on visualizing a wave function in three dimensions (3D) within the context of Quantum Mechanics. While the wave function is complex-valued, representing both real and imaginary components, it is typically referred to as a three-dimensional function due to its spatial coordinates (x, y, z). The participants emphasize the importance of visualizing the probability density, |ψ(𝑥)|², and suggest using density plots or orbital representations to illustrate regions of higher probability, referencing figures from the Wikipedia articles on the hydrogen atom.

PREREQUISITES
  • Understanding of Quantum Mechanics principles
  • Familiarity with wave functions and their properties
  • Knowledge of complex numbers and their representation
  • Experience with data visualization techniques in scientific contexts
NEXT STEPS
  • Research methods for visualizing complex-valued functions in 3D
  • Learn about probability density functions in Quantum Mechanics
  • Explore software tools for creating density plots and orbital visualizations
  • Study the mathematical formulation of wave functions in Quantum Mechanics
USEFUL FOR

Students and professionals in physics, particularly those studying Quantum Mechanics, as well as data scientists and researchers interested in visualizing complex mathematical functions.

Icycub
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I was wondering if it's possible to plot a wave function that is a function of 3 coordinates, such as (x, y, z). The text my class uses calls this Quantum Mechanics in 3 dimensions, but wouldn't this technically by four dimensions?
 
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The wave function itself is complex valued, so that's 2 values (real and imaginary values) at each position (x,y,z).

We usually say 3 dimensions, because we mean 3 space dimensions.
 
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