{"id":300,"date":"2026-08-12T07:34:04","date_gmt":"2026-08-12T04:04:04","guid":{"rendered":"https:\/\/sciencio.ir\/?p=300"},"modified":"2026-08-12T07:34:04","modified_gmt":"2026-08-12T04:04:04","slug":"3-%d8%aa%d9%88%d8%a7%d8%a8%d8%b9-%d8%a7%d9%86%d8%aa%da%af%d8%b1%d8%a7%d9%84-%d9%be%d8%b0%db%8c%d8%b1-%d9%85%d8%ac%d8%b0%d9%88%d8%b1%db%8c","status":"publish","type":"post","link":"https:\/\/sciencio.ir\/?p=300","title":{"rendered":"3 \u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc"},"content":{"rendered":"

\u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc \u0648 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u062f\u0631 \u0641\u0636\u0627\u06cc \u062a\u0648\u0627\u0628\u0639\u060c \u0628\u062d\u062b \u0627\u06cc\u0646 \u0641\u0635\u0644 \u0627\u0633\u062a. \u062f\u0631 \u0641\u0636\u0627\u06cc \u062a\u0648\u0627\u0628\u0639\u060c \u0628\u0631\u062f\u0627\u0631\u0647\u0627 \u0628\u0627 \u062a\u0627\u0628\u0639 \u0645\u062e\u062a\u0644\u0637 \u0648 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0628\u0627 \u06cc\u06a9 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0645\u062a\u0646\u0627\u0638\u0631 \u0627\u0633\u062a.<\/p>\n

1-3 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0648 \u062a\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc<\/h3>\n

\u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u062f\u0648 \u062a\u0627\u0628\u0639 $\\psi (x)$ \u0648 $\\phi (x)$\u060c \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n

(1)<\/strong><\/p>\n

$\\large \\langle \\psi | \\phi \\rangle=\\displaystyle{\\int \\psi^{*}(x) \\phi (x) \\mathrm{d}x}$<\/p>\n

\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0647\u0645\u0648\u0627\u0631\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 \u0627\u0648\u0644 \u0645\u0632\u062f\u0648\u062c \u0645\u062e\u062a\u0644\u0637 \u0645\u06cc \u06af\u06cc\u0631\u06cc\u0645. \u062f\u0631 \u0628\u062e\u0634 62-2<\/a> \u06af\u0641\u062a\u0645 \u06a9\u0647 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0647\u0645\u0648\u0627\u0631\u0647 \u0645\u062a\u0646\u0627\u0647\u06cc \u0627\u0633\u062a. \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0627\u06af\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0648\u0627\u06af\u0631\u0627(\u0628\u06cc \u0646\u0647\u0627\u06cc\u062a) \u0634\u0648\u062f\u061b \u0622\u0646\u06af\u0627\u0647 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0648\u062c\u0648\u062f \u0646\u062f\u0627\u0631\u062f. \u0686\u0648\u0646 \u0645\u06cc \u062e\u0648\u0627\u0647\u06cc\u0645 \u0641\u0636\u0627\u06cc \u062a\u0627\u0628\u0639 \u0647\u0645\u0648\u0627\u0631\u0647 \u062f\u0627\u0631\u0627\u06cc \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0628\u0627\u0634\u062f\u061b \u0628\u0627\u06cc\u062f \u062a\u0648\u0627\u0628\u0639\u06cc \u0631\u0627 \u0627\u0646\u062a\u062e\u0627\u0628 \u06a9\u0646\u06cc\u0645 \u06a9\u0647 \u062d\u0627\u0635\u0644 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0645\u062a\u0646\u0627\u0647\u06cc \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u062f. \u0627\u06cc\u0646 \u0634\u0631\u0637 \u0632\u0645\u0627\u0646\u06cc \u0628\u0631\u0642\u0631\u0627\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u062a\u0627\u0628\u0639 \u062f\u0631 \u062e\u0648\u062f\u0634 \u0647\u0645\u0648\u0627\u0631\u0647 \u0645\u062a\u0646\u0627\u0647\u06cc \u0628\u0627\u0634\u062f. \u0628\u0647 \u0686\u0646\u06cc\u0646 \u062a\u0627\u0628\u0639\u06cc \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc<\/strong> \u0645\u06cc \u06af\u0648\u06cc\u06cc\u0645:<\/p>\n

(2)<\/strong><\/p>\n

$\\large \\langle \\psi | \\psi \\rangle=\\displaystyle{\\int |\\psi (x)|^2 \\mathrm{d}x} < \\infty$<\/p>\n

\u062a\u0648\u062c\u0647 \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0647\u0645\u0648\u0627\u0631\u0647 \u0636\u0631\u0628 \u0645\u0632\u062f\u0648\u062c \u0645\u062e\u062a\u0644\u0637 \u062a\u0627\u0628\u0639 \u062f\u0631 \u062e\u0648\u062f \u062a\u0627\u0628\u0639 \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 \u0645\u062c\u0630\u0648\u0631 \u0646\u0631\u0645 \u062a\u0627\u0628\u0639 \u0627\u0633\u062a. \u0628\u0647 \u0633\u0627\u062f\u06af\u06cc \u0645\u06cc \u062a\u0648\u0627\u0646 \u062f\u0631\u06cc\u0627\u0641\u062a \u06a9\u0647 \u0641\u0636\u0627\u06cc \u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc\u060c \u062f\u0627\u0631\u0627\u06cc \u062a\u0645\u0627\u0645\u06cc \u0648\u06cc\u0698\u06af\u06cc \u0647\u0627\u06cc \u0641\u0636\u0627\u06cc \u0647\u06cc\u0644\u0628\u0631\u062a \u0627\u0633\u062a. \u0627\u0644\u0628\u062a\u0647 \u0627\u06cc\u0646 \u0631\u0627 \u0647\u0645 \u062f\u0631 \u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f \u06a9\u0647 \u0628\u0627\u0632\u0647 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0645\u0647\u0645 \u0627\u0633\u062a. \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0645\u06cc \u062a\u0648\u0627\u0646\u062f \u062f\u0631 \u0628\u0627\u0632\u0647 \u0627\u06cc \u0645\u062d\u062f\u0648\u062f \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc \u0628\u0627\u0634\u062f.<\/p>\n

\u0628\u0639\u062f \u0641\u0636\u0627\u06cc \u0647\u06cc\u0644\u0628\u0631\u062a \u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc \u0646\u0627\u0645\u062a\u0646\u0627\u0647\u06cc \u0627\u0633\u062a. \u0645\u06cc \u062a\u0648\u0627\u0646 \u0647\u0631 \u062a\u0627\u0628\u0639 \u0645\u0648\u062c \u0631\u0627 \u0628\u0631\u062d\u0633\u0628 \u0628\u06cc \u0646\u0647\u0627\u06cc\u062a \u062a\u0627\u0628\u0639 \u0645\u0633\u062a\u0642\u0644 \u062e\u0637\u06cc \u0628\u0633\u0637 \u062f\u0627\u062f. \u06cc\u0627\u062f\u0645\u0627\u0646 \u0647\u0633\u062a \u06a9\u0647 \u0628\u0639\u062f\u060c \u0628\u06cc\u0634\u06cc\u0646\u0647 \u062a\u0639\u062f\u0627\u062f \u0628\u0631\u062f\u0627\u0631\u0647\u0627\u06cc \u0645\u0633\u062a\u0642\u0644 \u062e\u0637\u06cc \u0628\u0648\u062f \u06a9\u0647 \u0641\u0636\u0627 \u0631\u0627 \u067e\u0648\u0634\u0634 \u0645\u06cc \u062f\u0627\u062f\u0646\u062f.<\/p>\n

2-3 \u062a\u0639\u0628\u06cc\u0631 \u0622\u0645\u0627\u0631\u06cc \u0628\u0648\u0631\u0646<\/h3>\n

\u062a\u0627\u0628\u0639 \u0645\u0648\u062c $\\psi (x,t)$ \u06a9\u0647 \u062c\u0648\u0627\u0628 \u0645\u0639\u0627\u062f\u0644\u0647 \u0634\u0631\u0648\u062f\u06cc\u0646\u06af\u0631 \u0627\u0633\u062a\u061b \u0645\u0639\u0631\u0641 \u0686\u0647 \u0686\u06cc\u0632\u06cc \u0627\u0633\u062a \u0648 \u0686\u0647 \u06a9\u0627\u0631\u0627\u06cc\u06cc \u0628\u0631\u0627\u06cc \u0645\u0627 \u062f\u0627\u0631\u062f\u061f \u0630\u0631\u0647 \u0647\u0645\u0648\u0627\u0631\u0647 \u062f\u0631 \u06cc\u06a9 \u0646\u0642\u0637\u0647 \u0645\u062a\u0645\u0631\u06a9\u0632 \u0627\u0633\u062a \u0648 \u0645\u0648\u062c \u062f\u0631 \u0641\u0636\u0627 \u0645\u0646\u062a\u0634\u0631 \u0645\u06cc \u0634\u0648\u062f (\u062a\u0627\u0628\u0639 \u0645\u0648\u062c \u062f\u0631 \u0647\u0631\u0644\u062d\u0638\u0647 \u062e\u0627\u0635 $t$ \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 $x$ \u0627\u0633\u062a. \u0627\u0646\u06af\u0627\u0631 \u06a9\u0647 \u0627\u0632 \u062a\u0627\u0628\u0639 \u0645\u0648\u062c \u0639\u06a9\u0633 \u06af\u0631\u0641\u062a\u0647 \u0628\u0627\u0634\u06cc\u0645!). \u067e\u0633 \u0686\u06af\u0648\u0646\u0647 \u062a\u0627\u0628\u0639 \u0645\u0648\u062c \u062a\u0648\u0635\u06cc\u0641 \u06a9\u0646\u0646\u062f\u0647 \u062d\u0627\u0644\u062a \u0630\u0631\u0647 \u0627\u0633\u062a. \u062a\u0639\u0628\u06cc\u0631 \u0622\u0645\u0627\u0631\u06cc \u0628\u0648\u0631\u0646 \u0627\u0632 \u062a\u0627\u0628\u0639 \u0645\u0648\u062c \u0645\u06cc \u06af\u0648\u06cc\u062f \u06a9\u0647 $|\\psi (x,t)|^2$ \u0627\u062d\u062a\u0645\u0627\u0644 \u06cc\u0627\u0641\u062a\u0646 \u0630\u0631\u0647 \u062f\u0631 \u0645\u06a9\u0627\u0646 \u062e\u0627\u0635 $x$ \u0648 \u0632\u0645\u0627\u0646 \u062e\u0627\u0635 $t$ \u0627\u0633\u062a. \u0628\u0647 \u0628\u06cc\u0627\u0646 \u062f\u0642\u06cc\u0642 \u062a\u0631 $|\\psi (x,t)|^2$ \u06cc\u06a9 \u062a\u0627\u0628\u0639 \u0686\u06af\u0627\u0644\u06cc \u0627\u062d\u062a\u0645\u0627\u0644 \u0628\u0631\u0627\u06cc \u0627\u062d\u062a\u0645\u0627\u0644 \u06cc\u0627\u0641\u062a\u0646 \u0630\u0631\u0647 \u0628\u06cc\u0646 \u062f\u0648 \u0646\u0642\u0637\u0647 \u0645\u06a9\u0627\u0646\u06cc $a$ \u0648 $b$ \u062f\u0631 \u0632\u0645\u0627\u0646 $t$ \u0627\u0633\u062a:<\/p>\n

(3)<\/strong><\/p>\n

$\\large P(a\\leq x \\leq b)=\\displaystyle{\\int^{b}_{a} |\\psi (x,t)|^2 \\mathrm{d}x}$<\/p>\n

\u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0627\u06cc\u0646\u06a9\u0647 \u062c\u0645\u0639 \u0627\u062d\u062a\u0645\u0627\u0644 \u0647\u0645\u0648\u0627\u0631\u0647 \u06cc\u06a9 \u0627\u0633\u062a\u060c \u0628\u0646\u0627\u0628\u0631\u0627\u06cc\u0646 \u0630\u0631\u0647 \u0647\u0645\u0648\u0627\u0631\u0647 \u062f\u0631 \u062c\u0627\u06cc\u06cc \u0627\u0632 \u0645\u062d\u0648\u0631 $x$ \u0648\u062c\u0648\u062f \u062e\u0648\u0627\u0647\u062f \u062f\u0627\u0634\u062a:<\/p>\n

(4)<\/strong><\/p>\n

$\\large\\displaystyle{\\int^{+\\infty}_{-\\infty} |\\psi (x,t)|^2 \\mathrm{d}x}=1$<\/p>\n

\u0628\u0627 \u062a\u0639\u0645\u06cc\u0645 \u0631\u0627\u0628\u0637\u0647 (3) \u0648 (4) \u0628\u0647 \u0633\u0647 \u0628\u0639\u062f \u0645\u062d\u0627\u0633\u0628\u0647 \u0627\u062d\u062a\u0645\u0627\u0644\u0627\u062a \u062f\u0631 \u0641\u0636\u0627 \u0646\u06cc\u0632 \u0627\u0645\u06a9\u0627\u0646 \u067e\u0630\u06cc\u0631 \u0627\u0633\u062a. \u0627\u0645\u06a9\u0627\u0646 \u06cc\u0627\u0641\u062a\u0646 \u06cc\u06a9 \u0630\u0631\u0647 \u062f\u0631 \u06a9\u0644 \u0641\u0636\u0627 \u06cc\u06a9 \u0627\u0633\u062a \u067e\u0633 \u0631\u0627\u0628\u0637\u0647 (4) \u0634\u06a9\u0644 \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0647 \u062e\u0648\u062f \u0645\u06cc \u06af\u06cc\u0631\u062f \u06a9\u0647 $\\vec{r}$ \u0628\u0631\u062f\u0627\u0631 \u0645\u06a9\u0627\u0646 \u0627\u0633\u062a:<\/p>\n

(5)<\/strong><\/p>\n

$\\large \\displaystyle{\\int^{+\\infty}_{-\\infty} \\mathrm{d}x \\int^{+\\infty}_{-\\infty} \\mathrm{d}y \\int^{+\\infty}_{-\\infty} |\\psi (\\vec{r},t)|^2 \\mathrm{d}z}=1$<\/p>\n

\u062a\u0648\u0627\u0628\u0639 \u0645\u0648\u062c\u06cc \u06a9\u0647 \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 \u0628\u0627\u0644\u0627 \u0635\u062f\u0642 \u06a9\u0646\u0646\u062f\u061b \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc \u0648 \u0628\u0647\u0646\u062c\u0627\u0631\u0646\u062f. \u062f\u0631 \u0645\u06a9\u0627\u0646\u06cc\u06a9 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u062a\u0646\u0647\u0627 \u0627\u06cc\u0646 \u0646\u0648\u0639 \u062a\u0648\u0627\u0628\u0639 \u062f\u0627\u0631\u0627\u06cc \u0645\u0639\u0646\u0627\u06cc \u0641\u06cc\u0632\u06cc\u06a9\u06cc \u0627\u0646\u062f.<\/p>\n

*\u0645\u062b\u0627\u0644 3-1)<\/h5>\n

\u062a\u0648\u0632\u06cc\u0639 \u06af\u0627\u0648\u0633\u06cc \u0631\u0627 \u0628\u0647 \u0639\u0646\u0648\u0627\u0646 \u062a\u0627\u0628\u0639 \u0686\u06af\u0627\u0644\u06cc \u0627\u062d\u062a\u0645\u0627\u0644 \u062f\u0631\u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f.<\/p>\n

$|\\psi (x,0)|^2=\\displaystyle{Ae^{-\\lambda(x-a)^2}}$<\/p>\n

\u06a9\u0647 $A$\u060c $\\lambda$ \u0648 $a$ \u0645\u0642\u0627\u062f\u06cc\u0631 \u062b\u0627\u0628\u062a\u0646\u062f. $A$ \u06cc\u0627 \u062b\u0627\u0628\u062a \u0628\u0647\u0646\u062c\u0627\u0631\u0634 \u0631\u0627 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (4) \u067e\u06cc\u062f\u0627 \u06a9\u0646\u06cc\u062f.<\/p>\n

\u067e\u0627\u0633\u062e<\/h5>\n

\u0631\u0627\u0628\u0637\u0647 (4) \u0631\u0627 \u0645\u06cc \u0646\u0648\u06cc\u0633\u06cc\u0645:<\/p>\n

$\\large A \\displaystyle{\\int_{-\\infty}^{+\\infty}e^{-\\lambda(x-a)^2} \\mathrm{d}x}=1$<\/p>\n

\u067e\u0627\u0633\u062e \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f:<\/p>\n

$\\large A\\displaystyle{(\\sqrt{\\frac{\\pi}{\\lambda}})}=1$<\/p>\n

$\\large A=\\displaystyle{\\sqrt{\\frac{\\lambda}{\\pi}}}$<\/p>\n

\n

3-3 \u062c\u0645\u0639 \u0628\u0646\u062f\u06cc \u0641\u0635\u0644<\/h3>\n

\u062f\u0631 \u0627\u06cc\u0646 \u0641\u0635\u0644 \u0628\u0647 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0648 \u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc \u067e\u0631\u062f\u0627\u062e\u062a\u06cc\u0645. \u0633\u067e\u0633 \u0628\u0631 \u062a\u0639\u0628\u06cc\u0631 \u0622\u0645\u0627\u0631\u06cc \u0628\u0648\u0631\u0646 \u0648 \u062a\u0648\u0627\u0628\u0639 \u0628\u0647\u0646\u062c\u0627\u0631 \u062a\u0645\u0631\u06a9\u0632 \u06a9\u0631\u062f\u06cc\u0645.<\/p>\n

 <\/p>\n\n\n\n
\u062a\u0645\u0631\u06cc\u0646\u0627\u062a \u0641\u0635\u0644<\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n

*1- \u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u06cc\u06a9 \u0641\u0636\u0627\u06cc \u0628\u0631\u062f\u0627\u0631\u06cc \u0633\u0647 \u0628\u0639\u062f\u06cc \u062f\u0627\u0631\u06cc\u0645. \u0627\u06cc\u0646 \u0641\u0636\u0627 \u0628\u0627 \u0633\u0647 \u062a\u0627\u0628\u0639 \u0632\u06cc\u0631 \u067e\u0648\u0634\u06cc\u062f\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n

$\\large P_{0}(x)=1 \\; , \\; P_{1}(x)=x \\; , \\; P_{2}(x)=\\frac{3}{2}x^2-\\frac{1}{2}$<\/p>\n

\u0647\u0645\u0686\u0646\u06cc\u0646 \u062f\u0631\u0646\u0638\u0631 \u0628\u06af\u06cc\u0631\u06cc\u062f \u06a9\u0647 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0631\u0627\u0628\u0637\u0647 (1) \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646 \u0641\u0636\u0627 \u0628\u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n

$\\large \\langle \\psi | \\phi \\rangle=\\displaystyle{\\int_{-1}^{1} \\psi^{*}(x) \\phi (x) \\mathrm{d}x}$<\/p>\n

\u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0622\u06cc\u0627 \u0628\u0631\u062f\u0627\u0631\u0647\u0627\u06cc \u067e\u0627\u06cc\u0647 \u0627\u06cc\u0646 \u0641\u0636\u0627 \u062f\u0648 \u0628\u0647 \u062f\u0648 \u0628\u0631\u0647\u0645 \u0639\u0645\u0648\u062f\u0646\u062f\u061f<\/p>\n

**2- \u062a\u0627\u0628\u0639 \u0645\u0648\u062c \u0632\u06cc\u0631 \u0631\u0627 \u0628\u0647\u0646\u062c\u0627\u0631 \u06a9\u0646\u06cc\u062f:<\/p>\n

$\\large \\psi (x,t)=Ae^{-\\lambda|x|}e^{-i\\omega t}$<\/p>\n

\u0633\u0647 \u06a9\u0645\u06cc\u062a $A$\u060c $\\lambda$ \u0648 $\\omega$ \u062b\u0627\u0628\u062a\u0646\u062f.<\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

\u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc \u0648 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u062f\u0631 \u0641\u0636\u0627\u06cc \u062a\u0648\u0627\u0628\u0639\u060c \u0628\u062d\u062b \u0627\u06cc\u0646 \u0641\u0635\u0644 \u0627\u0633\u062a. \u062f\u0631 \u0641\u0636\u0627\u06cc \u062a\u0648\u0627\u0628\u0639\u060c \u0628\u0631\u062f\u0627\u0631\u0647\u0627 \u0628\u0627 \u062a\u0627\u0628\u0639 \u0645\u062e\u062a\u0644\u0637 \u0648 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0628\u0627 \u06cc\u06a9 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u0645\u062a\u0646\u0627\u0638\u0631 \u0627\u0633\u062a. 1-3 \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u0648 \u062a\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc \u0636\u0631\u0628 \u062f\u0627\u062e\u0644\u06cc \u062f\u0648 \u062a\u0627\u0628\u0639 $\\psi (x)$ \u0648 $\\phi (x)$\u060c \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u062a\u0639\u0631\u06cc\u0641 \u0645\u06cc \u0634\u0648\u062f: (1) $\\large \\langle […]<\/p>\n","protected":false},"author":1,"featured_media":301,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/cdn.imgurl.ir\/uploads\/k089333_quantum-mechanics-for-scientists-engineers_soe-yeeqmse01_bhwm.jpg","fifu_image_alt":"\u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc","footnotes":""},"categories":[5,26],"tags":[28,27],"class_list":["post-300","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physics","category-26","tag-28","tag-27"],"yoast_head":"\n3 \u062a\u0648\u0627\u0628\u0639 \u0627\u0646\u062a\u06af\u0631\u0627\u0644 \u067e\u0630\u06cc\u0631 \u0645\u062c\u0630\u0648\u0631\u06cc - 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