- #1
logearav
- 338
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ψ and its derivatives occur only linearly in the Schrodinger equation, that is, second or higher powers of these quantities do not appear in the equation.
Schrodinger equation for a free particle is
i[itex]\hbar[/itex]∂ψ(x,t)/∂t = (-[itex]\hbar[/itex]2/2m)(∂2ψ(x,t)/∂x2)
Here (∂2ψ(x,t)/∂x2) is second power of ψ. Then how can we justify the statement "second or higher powers of ψ do not appear"?
Schrodinger equation for a free particle is
i[itex]\hbar[/itex]∂ψ(x,t)/∂t = (-[itex]\hbar[/itex]2/2m)(∂2ψ(x,t)/∂x2)
Here (∂2ψ(x,t)/∂x2) is second power of ψ. Then how can we justify the statement "second or higher powers of ψ do not appear"?