Undergrad Difference between Schrodinger's equation and wave function?

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Schrodinger's equation is a fundamental equation in quantum mechanics that describes how the wave function evolves over time. The wave function itself represents the quantum state of a system and contains all the information about that system. While Schrodinger's equation dictates the behavior of the wave function, they are distinct concepts; the equation is a mathematical formulation, whereas the wave function is a solution to that equation. Understanding this distinction is crucial for grasping the principles of quantum mechanics. Clarity on these terms enhances comprehension of their roles in quantum theory.
Kiley
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Is there a difference between Schrodinger'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 Schrodinger's equation and I am having trouble understanding the connection.
 
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Kiley said:
Is there a difference between Schrodinger's equation and the wave function?

Of course; Schrodinger'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; Schrodinger'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.
 

Thread 'Two equivalent statements of time reversal symmetric Hamiltonian'

Time reversal invariant Hamiltonians must satisfy ##[H,\Theta]=0## where ##\Theta## is time reversal operator. However, in some texts (for example see Many-body Quantum Theory in Condensed Matter Physics an introduction, HENRIK BRUUS and KARSTEN FLENSBERG, Corrected version: 14 January 2016, section 7.1.4) the time reversal invariant condition is introduced as ##H=H^*##. How these two conditions are identical?
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