Can the 1D Wave Equation Accurately Describe dΨ(x)/dt?

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SUMMARY

The discussion confirms that the 1D wave equation is not suitable for describing dΨ(x)/dt; instead, the Schrödinger equation should be utilized. The applicability of the 1D wave function is contingent upon the symmetry of the specific system being analyzed. Participants emphasized the importance of using the correct mathematical framework to accurately represent quantum states.

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  • Understanding of the Schrödinger equation
  • Familiarity with wave functions in quantum mechanics
  • Knowledge of symmetry principles in physics
  • Basic concepts of partial differential equations
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  • Explore the role of symmetry in quantum mechanics
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Students and professionals in physics, particularly those focusing on quantum mechanics, wave phenomena, and mathematical modeling of physical systems.

AleksanderPhy
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Hello!
So if I want to describe dΨ(x)/dt can I use 1D wave equation?
 
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What is ##\psi(x)##?
 
blue_leaf77 said:
What is ##\psi(x)##?
1D wave function
 
Then you will describe it using Schroedinger equation, not an arbitrary wave equation. Whether it can be described using 1D space, it depends on the symmetry of the system at hand.
 

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