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Math  /  Calculus

QuestionS4N 7:017: 01 24 Nov 2024 at 17:2...
Hwi If ψ(x)=Asin⁡πx9e−E0tℏt0⩽x⩽9\psi(x)=A \sin \frac{\pi x}{9} e^{-\frac{E_{0} t}{\hbar} t} 0 \leqslant x \leqslant 9 (1) A=A= ? (normalizatron) (2) ⟨Px⟩\left\langle P_{x}\right\rangle (3) ⟨E⟩\langle E\rangle (4) ⟨x⟩\langle x\rangle

Studdy Solution
نحسب التكامل:
⟨x⟩=a2 \langle x \rangle = \frac{a}{2}
لأن دالة الجيب متناسقة حول منتصف الفترة.
القيم المحسوبة هي: A=2a A = \sqrt{\frac{2}{a}} ⟨Px⟩=0 \langle P_x \rangle = 0 ⟨E⟩=E0 \langle E \rangle = E_0 ⟨x⟩=a2 \langle x \rangle = \frac{a}{2}

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