{"id":322,"date":"2026-08-12T08:03:06","date_gmt":"2026-08-12T04:33:06","guid":{"rendered":"https:\/\/sciencio.ir\/?p=322"},"modified":"2026-08-12T08:03:06","modified_gmt":"2026-08-12T04:33:06","slug":"10-%d8%aa%d8%a7%d8%a8%d8%b9-%d8%b9%d9%85%d9%84%da%af%d8%b1%d9%87%d8%a7%db%8c-%da%a9%d9%88%d8%a7%d9%86%d8%aa%d9%88%d9%85%db%8c","status":"publish","type":"post","link":"https:\/\/sciencio.ir\/?p=322","title":{"rendered":"10 \u062a\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc"},"content":{"rendered":"<p>\u062f\u0631 \u0627\u06cc\u0646 \u0641\u0635\u0644 \u0628\u0647 \u0628\u0631\u0631\u0633\u06cc \u062a\u0648\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u06cc\u0645.<\/p>\n<h3>1-10 \u062a\u0639\u0631\u06cc\u0641<\/h3>\n<p>\u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u06a9\u0647 $F(\\hat{A})$ \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 \u0639\u0645\u0644\u06af\u0631 $\\hat{A}$ \u0628\u0627\u0634\u062f. \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 $\\hat{A}$ \u0639\u0645\u0644\u06af\u0631\u06cc \u062e\u0637\u06cc \u0628\u0627\u0634\u062f (\u062a\u0648\u0632\u06cc\u0639 \u067e\u0630\u06cc\u0631 \u0628\u0627\u0634\u062f \u0648 \u0628\u0627 \u0639\u062f\u062f\u0647\u0627\u06cc \u062b\u0627\u0628\u062a \u062c\u0627\u0628\u062c\u0627 \u0634\u0648\u062f)\u061b \u0622\u0646\u06af\u0627\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 $F(\\hat{A})$ \u0631\u0627 \u0628\u0627 \u0628\u0633\u0637 \u062a\u06cc\u0644\u0648\u0631\u060c \u0628\u0647 \u0634\u06a9\u0644 \u06cc\u06a9 \u0633\u0631\u06cc \u062a\u0648\u0627\u0646\u06cc \u0646\u0648\u0634\u062a:<\/p>\n<p><strong>(1)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$\\large F(\\hat{A})= \\displaystyle{\\sum_{n=0}^\\infty a_n \\hat{A}^n}$<\/p>\n<p>\u06a9\u0647 \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 \u0628\u0627\u0644\u0627\u060c $a_n$ \u0636\u0631\u0627\u06cc\u0628 \u0628\u0633\u0637\u0646\u062f. \u06cc\u06a9 \u0645\u062b\u0627\u0644 \u0645\u0647\u0645 \u0627\u0632 \u062a\u0648\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u06cc\u060c \u062a\u0627\u0628\u0639 \u0646\u0645\u0627\u06cc\u06cc \u0637\u0628\u06cc\u0639\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0628\u0633\u0637 \u062a\u06cc\u0644\u0648\u0631 \u0622\u0646 \u0628\u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<p><strong>(2)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$e^{a\\hat{A}} = \\displaystyle{\\sum_{n=0}^\\infty \\frac{a^n}{n!}\\hat{A}^n}=\\hat{I}+a\\hat{A}+\\displaystyle{\\frac{a^2}{2!}\\hat{A}^2}+&#8230;$<\/p>\n<p>\u06a9\u0647 \u062f\u0631 \u0631\u0627\u0628\u0637\u0647 \u0628\u0627\u0644\u0627 $a$ \u0627\u0633\u06a9\u0627\u0644\u0631\u06cc \u062d\u0642\u06cc\u0642\u06cc \u06cc\u0627 \u0645\u062e\u062a\u0644\u0637 \u0627\u0633\u062a. \u0647\u0645\u0686\u0646\u06cc\u0646 $\\hat{A}^0=\\hat{I}$ \u0646\u06cc\u0632 \u0628\u0631\u0642\u0631\u0627\u0631 \u0627\u0633\u062a.<\/p>\n<h3>2-10 \u062c\u0627\u0628\u062c\u0627\u06af\u0631 \u0634\u0627\u0645\u0644 \u062a\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u06cc<\/h3>\n<p>\u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (1) \u0628\u062f\u0633\u062a \u0645\u06cc \u0622\u06cc\u062f \u06a9\u0647 \u0627\u06af\u0631 \u0639\u0645\u0644\u06af\u0631 $\\hat{A}$ \u0628\u0627 \u0639\u0645\u0644\u06af\u0631 $\\hat{B}$ \u062c\u0627\u0628\u062c\u0627 \u0634\u0648\u062f\u061b \u0622\u0646\u06af\u0627\u0647 \u0647\u0631 \u062a\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u06cc $\\hat{A}$ \u0645\u0627\u0646\u0646\u062f $F(\\hat{A})$ \u0628\u0627 $\\hat{B}$ \u062c\u0627\u0628\u062c\u0627 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<p><strong>(3)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$\\large [\\hat{A},\\hat{B}]=0 \\; \\Rightarrow \\; [F(\\hat{A}),\\hat{B}]=0$<\/p>\n<p>\u0628\u0627\u0632 \u0647\u0645 \u0628\u0647 \u06a9\u0645\u06a9 \u0631\u0627\u0628\u0637\u0647 (1)\u060c \u0645\u06cc \u062a\u0648\u0627\u0646 \u062a\u062d\u0642\u06cc\u0642 \u06a9\u0631\u062f \u06a9\u0647 $\\hat{A}$ \u0628\u0627 \u0647\u0631 \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 \u062e\u0648\u062f \u062c\u0627\u0628\u062c\u0627 \u0645\u06cc \u0634\u0648\u062f \u0648 \u0647\u0631 \u062f\u0648 \u062a\u0627\u0628\u0639 \u062f\u0644\u062e\u0648\u0627\u0647\u06cc \u0645\u0627\u0646\u0646\u062f $F(\\hat{A})$ \u0648 $G(\\hat{A})$ \u0646\u06cc\u0632 \u0628\u0627\u0647\u0645 \u062c\u0627\u0628\u062c\u0627 \u0645\u06cc \u0634\u0648\u0646\u062f:<\/p>\n<p><strong>(4)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$\\large [\\hat{A},F(\\hat{A})]=0 \\; , \\; [\\hat{A}^n ,F(\\hat{A})]=0 \\; , \\; [F(\\hat{A}),G(\\hat{A})]=0$<\/p>\n<h3>3-10 \u0627\u0644\u062d\u0627\u0642\u06cc \u0647\u0631\u0645\u06cc\u062a\u06cc \u062a\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u06cc<\/h3>\n<p>\u0627\u0644\u062d\u0627\u0642\u06cc \u0647\u0631\u0645\u06cc\u062a\u06cc $F(\\hat{A})$ \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 \u0632\u06cc\u0631 \u0628\u062f\u0633\u062a \u0645\u06cc \u0622\u06cc\u062f:<\/p>\n<p><strong>(5)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$\\large (F(\\hat{A}))^\\dagger = F^{*}(\\hat{A}^\\dagger) = \\displaystyle{\\sum_{n=0}^\\infty a^*_n (\\hat{A}^\\dagger)^n}$<\/p>\n<p>\u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u0627\u06af\u0631 $\\hat{A}$ \u0647\u0631\u0645\u06cc\u062a\u06cc \u0628\u0627\u0634\u062f\u061b $F(\\hat{A})$ \u0644\u0632\u0648\u0645\u0627 \u0647\u0631\u0645\u06cc\u062a\u06cc \u0646\u06cc\u0633\u062a. \u062a\u0627\u0628\u0639 \u0632\u0645\u0627\u0646\u06cc \u0647\u0631\u0645\u06cc\u062a\u06cc \u0627\u0633\u062a \u06a9\u0647 \u0647\u0645 $\\hat{A}$ \u0647\u0631\u0645\u06cc\u062a\u06cc \u0628\u0627\u0634\u062f \u0647\u0645 \u062a\u0627\u0628\u0639 \u062d\u0642\u06cc\u0642\u06cc \u0628\u0627\u0634\u062f (\u0636\u0631\u0627\u06cc\u0628 \u0628\u0633\u0637 \u0631\u0627\u0628\u0637\u0647 (1) \u062d\u0642\u06cc\u0642\u06cc \u0628\u0627\u0634\u0646\u062f):<\/p>\n<p><strong>(6)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$\\large F^{*}(\\hat{A}^\\dagger) = \\displaystyle{\\sum_{n=0}^\\infty a^*_n (\\hat{A}^\\dagger)^n}=\\displaystyle{\\sum_{n=0}^\\infty a_n (\\hat{A})^n}=F(\\hat{A})$<\/p>\n<h5>*\u0645\u062b\u0627\u0644 10-1)<\/h5>\n<p>\u0627\u0644\u062d\u0627\u0642\u06cc \u0647\u0631\u0645\u06cc\u062a\u06cc $e^{(ia\\hat{A})}$ \u0631\u0627 \u0628\u062f\u0633\u062a \u0645\u06cc \u0622\u0648\u0631\u06cc\u062f. $a$ \u06cc\u06a9 \u0639\u062f\u062f \u0645\u062e\u062a\u0644\u0637 \u0627\u0633\u062a.<\/p>\n<h5>\u067e\u0627\u0633\u062e<\/h5>\n<p>\u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (2) \u0648 (5) \u062f\u0627\u0631\u06cc\u0645:<\/p>\n<p dir=\"ltr\">$(e^{(ia\\hat{A})})^\\dagger=\\displaystyle{\\sum_{n=0}^\\infty (-i)^n \\frac{(a^*)^n}{n!} (\\hat{A}^\\dagger)^n}$<\/p>\n<p>\u06a9\u0647 \u0628\u0627 \u062a\u0648\u062c\u0647 \u0628\u0647 \u0631\u0627\u0628\u0637\u0647 (2) \u06cc\u0627 \u0628\u0633\u0637 \u062a\u06cc\u0644\u0648\u0631 \u062a\u0627\u0628\u0639 \u0646\u0645\u0627\u06cc\u06cc\u060c \u0622\u0634\u06a9\u0627\u0631\u0627 \u0639\u0628\u0627\u0631\u062a \u0628\u0627\u0644\u0627 \u0628\u0647 \u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0642\u0627\u0628\u0644 \u0628\u0627\u0632\u0646\u0648\u06cc\u0633\u06cc \u0627\u0633\u062a:<\/p>\n<p dir=\"ltr\">$\\large (e^{(ia\\hat{A})})^\\dagger=e^{(-ia^*\\hat{A}^\\dagger)}$<\/p>\n<hr \/>\n<h3>4-10 \u0631\u0648\u0627\u0628\u0637 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u062a\u0627\u0628\u0639\u06cc<\/h3>\n<p>\u062d\u062a\u0645\u0627 \u062a\u0648\u062c\u0647 \u062f\u0627\u0634\u062a\u0647 \u0628\u0627\u0634\u06cc\u062f \u06a9\u0647 \u062f\u0631 \u062d\u0627\u0644\u062a \u06a9\u0644\u06cc:<\/p>\n<p><strong>(7)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$\\large e^{\\hat{A}} e^{\\hat{B}} \\neq e^{\\hat{A}+\\hat{B}}$<\/p>\n<p>\u0639\u0628\u0627\u0631\u062a \u0628\u0627\u0644\u0627 \u062a\u0646\u0647\u0627 \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u062a\u0628\u062f\u06cc\u0644 \u0628\u0647 \u062a\u0633\u0627\u0648\u06cc \u0645\u06cc \u0634\u0648\u062f \u06a9\u0647 \u062f\u0648 \u0639\u0645\u0644\u06af\u0631 \u0628\u0627 \u06cc\u06a9\u062f\u06cc\u06af\u0631 \u062c\u0627\u0628\u062c\u0627 \u0634\u0648\u0646\u062f ($[\\hat{A},\\hat{B}]=0$). \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u062f\u0648 \u0639\u0645\u0644\u06af\u0631 \u0628\u0627 \u062c\u0627\u0628\u062c\u0627\u06af\u0631 \u062f\u0648 \u0639\u0645\u0644\u06af\u0631 \u062c\u0627\u0628\u062c\u0627 \u0634\u0648\u0646\u062f ($[\\hat{A},[\\hat{A},\\hat{B}]]=[\\hat{B},[\\hat{B},\\hat{A}]]=0$)\u060c \u0631\u0627\u0628\u0637\u0647 \u0632\u06cc\u0631 \u0628\u0631\u0642\u0631\u0627\u0631 \u0627\u0633\u062a:<\/p>\n<p><strong>(8)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$\\large e^{\\hat{A}} e^{\\hat{B}} = e^{\\hat{A}+\\hat{B}} e^{\\frac{1}{2}[\\hat{A},\\hat{B}]}$<\/p>\n<p>\u0645\u0639\u0627\u062f\u0644 \u0633\u0645\u062a \u0686\u067e \u062a\u0633\u0627\u0648\u06cc \u0631\u0648\u0627\u0628\u0637 (7) \u0648 (8) \u062f\u0631 \u062d\u0627\u0644\u062a \u06a9\u0644\u06cc\u060c <a href=\"https:\/\/en.wikipedia.org\/wiki\/Baker%E2%80%93Campbell%E2%80%93Hausdorff_formula\">\u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u06a9\u0631-\u06a9\u0645\u067e\u0628\u0644-\u0647\u0627\u0633\u062f\u0648\u0631\u0641<\/a> \u0627\u0633\u062a.<\/p>\n<p>\u062f\u06cc\u06af\u0631 \u0631\u0627\u0628\u0637\u0647 \u06a9\u0627\u0631\u0628\u0631\u062f\u06cc\u060c \u0631\u0627\u0628\u0637\u0647 \u0632\u06cc\u0631 \u0627\u0633\u062a \u06a9\u0647 \u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (2) \u0642\u0627\u0628\u0644 \u062a\u062d\u0642\u06cc\u0642 \u0645\u06cc \u0628\u0627\u0634\u062f:<\/p>\n<p><strong>(9)<\/strong><\/p>\n<p dir=\"ltr\" style=\"text-align: center;\">$e^{\\hat{A}}\\hat{B}e^{-\\hat{A}}=\\hat{B}+[\\hat{A},\\hat{B}]+\\displaystyle{\\frac{1}{2!}[\\hat{A},[\\hat{A},\\hat{B}]]+\\frac{1}{3!}[\\hat{A},[\\hat{A},[\\hat{A},\\hat{B}]]]}+&#8230;$<\/p>\n<h5>**\u0645\u062b\u0627\u0644 10-2)<\/h5>\n<p>\u0633\u0647 \u062c\u0645\u0644\u0647 \u0627\u0648\u0644 \u0631\u0627\u0628\u0637\u0647 (9) \u0631\u0627 \u0628\u062f\u0633\u062a \u0622\u0648\u0631\u06cc\u062f.<\/p>\n<h5>\u067e\u0627\u0633\u062e<\/h5>\n<p>\u0627\u0632 \u0631\u0627\u0628\u0637\u0647 (2) \u0627\u0633\u062a\u0641\u0627\u062f\u0647 \u0645\u06cc \u06a9\u0646\u06cc\u0645:<\/p>\n<p dir=\"ltr\">$e^{\\hat{A}}\\hat{B}e^{-\\hat{A}}= \\displaystyle{\\sum_{n=0}^\\infty \\frac{\\hat{A}^n}{n!}}\\hat{B}\\displaystyle{\\sum_{m=0}^\\infty(-1)^m \\frac{\\hat{A}^m}{m!}}=\\displaystyle{\\sum_{n=0}^\\infty\\sum_{m=0}^\\infty (-1)^m\\frac{\\hat{A}^n\\hat{B}\\hat{A}^m}{n!m!}}$<\/p>\n<p>\u062d\u0627\u0644 \u0628\u0627\u06cc\u062f \u0628\u0631\u0627\u06cc \u0645\u062d\u0627\u0633\u0628\u0647 \u062f\u0648 \u062c\u0645\u0639 \u0628\u0647 \u062c\u0627\u06cc $n$ \u0648 $m$ \u0639\u062f\u062f \u0628\u06af\u0630\u0627\u0631\u06cc\u0645. \u0628\u0631\u0627\u06cc \u0627\u06cc\u0646\u06a9\u0627\u0631 \u0628\u0647\u062a\u0631 \u0627\u0633\u062a \u0628\u0647 \u062a\u0631\u062a\u06cc\u0628 $n+m=0,1,2,&#8230;$\u060c \u0627\u06cc\u0646 \u0639\u062f\u062f \u06af\u0630\u0627\u0631\u06cc \u0631\u0627 \u0627\u0646\u062c\u0627\u0645 \u062f\u0647\u06cc\u0645. \u0628\u0631\u0627\u06cc \u0645\u062b\u0627\u0644\u060c $n+m=2$ \u062f\u0627\u0631\u0627\u06cc \u0633\u0647 \u062d\u0627\u0644\u062a $n=m=1$ \u0648 $n=2,m=0$ \u0648 $m=2,n=0$ \u0627\u0633\u062a. \u062c\u0645\u0644\u0627\u062a \u062d\u0627\u0635\u0644 \u0628\u0635\u0648\u0631\u062a \u0632\u06cc\u0631 \u0627\u0633\u062a:<\/p>\n<p dir=\"ltr\">$=\\hat{B}+\\hat{A}\\hat{B}-\\hat{B}\\hat{A} &#8211; \\hat{A}\\hat{B}\\hat{A} +\\hat{A}\\hat{A}\\hat{B}\/2 +\\hat{B}\\hat{A}\\hat{A}\/2+&#8230;$<\/p>\n<p>\u0627\u0632 \u0639\u0628\u0627\u0631\u062a \u0628\u0627\u0644\u0627\u060c \u062c\u0645\u0644\u0627\u062a \u0632\u06cc\u0631 \u0646\u062a\u06cc\u062c\u0647 \u0645\u06cc \u0634\u0648\u062f:<\/p>\n<p dir=\"ltr\">$=\\hat{B} + [\\hat{A},\\hat{B}] + \\displaystyle{\\frac{1}{2!}}[\\hat{A},[\\hat{A},\\hat{B}]]+&#8230;$<\/p>\n<p>\u0627\u06cc\u0646 \u0647\u0645\u0627\u0646 \u0633\u0647 \u062c\u0645\u0644\u0647 \u0627\u0648\u0644 \u0631\u0627\u0628\u0637\u0647 (9) \u0627\u0633\u062a.<\/p>\n<hr \/>\n<h3>5-10 \u062c\u0645\u0639 \u0628\u0646\u062f\u06cc \u0641\u0635\u0644<\/h3>\n<p>\u062f\u0631 \u0627\u06cc\u0646 \u0641\u0635\u0644 \u0628\u0647 \u062a\u0648\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631 \u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u067e\u0631\u062f\u0627\u062e\u062a\u06cc\u0645. \u0647\u0645\u0686\u0646\u06cc\u0646 \u062c\u0627\u0628\u062c\u0627\u06af\u0631 \u0634\u0627\u0645\u0644 \u062a\u0627\u0628\u0639\u060c \u0627\u0644\u062d\u0627\u0642\u06cc \u0647\u0631\u0645\u06cc\u062a\u06cc \u0622\u0646 \u0648 \u0631\u0648\u0627\u0628\u0637 \u0645\u0634\u0647\u0648\u0631 \u0639\u0645\u0644\u06af\u0631\u0647\u0627 \u0631\u0627 \u0628\u0631\u0631\u0633\u06cc \u06a9\u0631\u062f\u06cc\u0645.<\/p>\n<p>&nbsp;<\/p>\n<table style=\"border-collapse: collapse; width: 100%; height: 48px;\">\n<tbody>\n<tr style=\"height: 48px;\">\n<td style=\"width: 100%; text-align: center; height: 48px;\"><span style=\"font-size: 24pt;\"><strong><span style=\"color: #149191;\">\u062a\u0645\u0631\u06cc\u0646\u0627\u062a \u0641\u0635\u0644<\/span><\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>*1- \u062f\u0631\u0633\u062a\u06cc \u06af\u0632\u0627\u0631\u0647 \u0647\u0627\u06cc (3) \u0648 (4) \u0631\u0627 \u0628\u0648\u0633\u06cc\u0644\u0647 \u0631\u0627\u0628\u0637\u0647 (1) \u0646\u0645\u0627\u06cc\u0634 \u062f\u0647\u06cc\u062f.<\/p>\n<p>*2- \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 \u062c\u0627\u0628\u062c\u0627\u06af\u0631 \u062f\u0648 \u0639\u0645\u0644\u06af\u0631\u060c \u0628\u0631\u0627\u0628\u0631 \u0628\u0627 \u0636\u0631\u06cc\u0628 \u0627\u0633\u06a9\u0627\u0644\u0631\u06cc \u0627\u0632 $\\hat{I}$ (\u0639\u0645\u0644\u06af\u0631 \u06cc\u06a9\u0647) \u0628\u0627\u0634\u062f. \u0628\u0631\u0631\u0633\u06cc \u06a9\u0646\u06cc\u062f \u06a9\u0647 \u0631\u0627\u0628\u0637\u0647 \u0628\u06cc\u06a9\u0631-\u06a9\u0645\u067e\u0628\u0644-\u0647\u0627\u0633\u062f\u0648\u0631\u0641 \u0686\u06af\u0648\u0646\u0647 \u062e\u0648\u0627\u0647\u062f \u0628\u0648\u062f.<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u062f\u0631 \u0627\u06cc\u0646 \u0641\u0635\u0644 \u0628\u0647 \u0628\u0631\u0631\u0633\u06cc \u062a\u0648\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc \u0645\u06cc \u067e\u0631\u062f\u0627\u0632\u06cc\u0645. 1-10 \u062a\u0639\u0631\u06cc\u0641 \u0641\u0631\u0636 \u06a9\u0646\u06cc\u062f \u06a9\u0647 $F(\\hat{A})$ \u062a\u0627\u0628\u0639\u06cc \u0627\u0632 \u0639\u0645\u0644\u06af\u0631 $\\hat{A}$ \u0628\u0627\u0634\u062f. \u062f\u0631 \u0635\u0648\u0631\u062a\u06cc \u06a9\u0647 $\\hat{A}$ \u0639\u0645\u0644\u06af\u0631\u06cc \u062e\u0637\u06cc \u0628\u0627\u0634\u062f (\u062a\u0648\u0632\u06cc\u0639 \u067e\u0630\u06cc\u0631 \u0628\u0627\u0634\u062f \u0648 \u0628\u0627 \u0639\u062f\u062f\u0647\u0627\u06cc \u062b\u0627\u0628\u062a \u062c\u0627\u0628\u062c\u0627 \u0634\u0648\u062f)\u061b \u0622\u0646\u06af\u0627\u0647 \u0645\u06cc \u062a\u0648\u0627\u0646 $F(\\hat{A})$ \u0631\u0627 \u0628\u0627 \u0628\u0633\u0637 \u062a\u06cc\u0644\u0648\u0631\u060c \u0628\u0647 \u0634\u06a9\u0644 \u06cc\u06a9 \u0633\u0631\u06cc \u062a\u0648\u0627\u0646\u06cc \u0646\u0648\u0634\u062a: (1) $\\large F(\\hat{A})= \\displaystyle{\\sum_{n=0}^\\infty [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":323,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/cdn.imgurl.ir\/uploads\/i81363_qmimage.jpg","fifu_image_alt":"\u062a\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631 \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc","footnotes":""},"categories":[5,26],"tags":[28,27],"class_list":["post-322","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physics","category-26","tag-28","tag-27"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>10 \u062a\u0627\u0628\u0639 \u0639\u0645\u0644\u06af\u0631\u0647\u0627\u06cc \u06a9\u0648\u0627\u0646\u062a\u0648\u0645\u06cc - \u0633\u0627\u06cc\u0646\u0633\u06cc\u0648<\/title>\n<meta name=\"description\" content=\"\u062f\u0631 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