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categoryفيزياء schoolبكالوريوس event_available2026-07-14

السؤال

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Using just the commutation relation [X,, P;] = iħd,,, prove that [P.1(X)] = -ihvf(x), where f(x) is a scalar function of the position operator X, and X; and P, are the Cartesian components of X and P. (You can, if needed, make reasonable assumptions about continuity and differentiability of the function f.) [Note: You are not allowed to use the position-space representation P = −ihỷ.]

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