Difference between Schrodinger's equation and wave function?

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SUMMARY

Schrödinger's equation and the wave function are distinct concepts in quantum mechanics. Schrödinger's equation is a fundamental equation that describes how the wave function evolves over time. The wave function itself represents the quantum state of a system, encapsulating all possible information about that system. Understanding the relationship between these two elements is crucial for grasping the principles of quantum mechanics.

PREREQUISITES
  • Quantum mechanics fundamentals
  • Understanding of wave-particle duality
  • Familiarity with differential equations
  • Basic knowledge of quantum states and operators
NEXT STEPS
  • Study the derivation of Schrödinger's equation
  • Explore the interpretation of wave functions in quantum mechanics
  • Learn about boundary conditions in quantum systems
  • Investigate applications of Schrödinger's equation in quantum chemistry
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Students of physics, quantum mechanics researchers, and educators seeking to clarify the relationship between Schrödinger's equation and wave functions.

Kiley
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Is there a difference between Schrödinger's equation and the wave function? In the beginning of the second edition by David J. Griffiths he compares the classical F(x,t) and Schrödinger's equation and I am having trouble understanding the connection.
 
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Kiley said:
Is there a difference between Schrödinger's equation and the wave function?

Of course; Schrödinger's equation is the equation that the wave function satisfies, which is obviously not the same as the wave function itself.
 
PeterDonis said:
Of course; Schrödinger's equation is the equation that the wave function satisfies, which is obviously not the same as the wave function itself.
OK, thank you for your reply Peter.
 

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