Question

describe this scrödinger equation.
$\hat{H} \Psi = E \Psi$
what's $\hat{H}$ here?

what's $\Psi \:$ here?

what's E here?

What's it's significance?

GIVE THE MATHEMATICAL DESCRIPTION ALSO.
AND EXPAND THE ABOVE EQUATION COMPLETE.

Answer 1

Ĥ is the Hamiltonian operator

Ψ is the wave function

E is a constant equal to the total energy of the system. This is only used when the Hamiltonian itself is not dependent on time explicitly. However, even in this case the total wave function still has a time dependency.

Answer 2

Hey mate!

Here's your answer!!

➡ H is the Hamiltonian Operator.

➡ Here E is a constant which is equal to the total energy of the system.

➡ The significance of this equation is that this equation describes the energy of an electron:

◾️Start with this classical equation.

◾️Use classical and quantum mechanical relationships to find the Hamiltonian Operator (H).

◾️And finally finding values of
Ψ that fit the Schrödinger Equation.

$hope \: it \: helps \: you...$
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