The Schrodinger wave equation is a mathematical expression describing the energy and position of the electron in space and time, taking into account the matter wave nature of the electron inside an atom. It is based on three considerations. They are. Classical plane wave equation. Broglie's hypothesis of matter-wave.
The Schrödinger equation, written in terms of ψ, even if complicated, is as simple as it gets. Any other reformulation is way more cumbersome to use. We have ψ∗∇2ψ=2mℏ2(V−E)ρ so by complex conjugation ψ∇2ψ∗=2mℏ2(V−E)ρ.
Having determined the wavefunction Ψ ( r , t ) \Psi(\mathbf{r},t) Ψ(r,t), the probability to find the particle at the position r is given by p ( r , t ) = ∣ Ψ ( r , t ) ∣ 2 p(\mathbf{r},t) = |\Psi(\mathbf{r},t)|^2 p(r,t)=∣Ψ(r,t)∣2.
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Answer:
The Schrodinger wave equation is a mathematical expression describing the energy and position of the electron in space and time, taking into account the matter wave nature of the electron inside an atom. It is based on three considerations. They are. Classical plane wave equation. Broglie's hypothesis of matter-wave.
The Schrödinger equation, written in terms of ψ, even if complicated, is as simple as it gets. Any other reformulation is way more cumbersome to use. We have ψ∗∇2ψ=2mℏ2(V−E)ρ so by complex conjugation ψ∇2ψ∗=2mℏ2(V−E)ρ.
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Answer:
Single-particle Schrodinger Equation
Having determined the wavefunction Ψ ( r , t ) \Psi(\mathbf{r},t) Ψ(r,t), the probability to find the particle at the position r is given by p ( r , t ) = ∣ Ψ ( r , t ) ∣ 2 p(\mathbf{r},t) = |\Psi(\mathbf{r},t)|^2 p(r,t)=∣Ψ(r,t)∣2.
Explanation:
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