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I'm studying a theorem that is valid for a small coupling constant λ in the Schrodinger operator below

[itex]

-\frac{d^2}{dx^2}+\lambda V

[/itex]

The potential has a parameter α which defines its width.

My question is: Starting with λ=1 and α=1, can I claim that if I increase the value of α (α >> 1) is equivalent to decrease λ (λ << 1)?

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# Coupling x potential width

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