The full Schrodinger's equation in compact form is:
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From the compact form H ^ ψ = E ψ \hat{H} \psi = E \psi H^ψ=Eψ, one can see that the time-independent Schrödinger equation is an eigenvector equation for H ^ \hat{H} H^. The set of values of E E E for which there exists a corresponding ψ \psi ψ satisfying this equation is called the spectrum of the Hamiltonian H H H.
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where, h is the plank's constant
H is Hamiltonian operator
- The Schrodinger equation is a partial differential equation that uses the wave function to describe the dynamics of quantum mechanical systems. The Schrödinger equation can be used to determine the trajectory and energy of these systems.
- It also describes the energy, momentum and position of electron in time and space.
- The equation is time independent.
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