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 [°øÇмöÇÐ] [05°­] Bessel's Equation

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ÀÛ¼ºÀÏ2024-05-15 23:03
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¾È³çÇϼ¼¿ä ±³¼ö´Ô

 

ÇØ´ç ºÎºÐ¿¡¼­ mu °¡ ¾ç¼ö¶ó°í °¡Á¤ÇÏ´Ï a1 = 0 À̶ó°í Çϼ̴µ¥¿ä.

 

mu °¡ À½¼ö¶ó°í °¡Á¤Çصµ ¹®Á¦°¡ ¾ø´Â °Å °°Àºµ¥, ±×·¸´Ù¸é a1 = 0 ÀÏ ÇÊ¿ä°¡ ÀÖ³ª¿ä?

 

ÀÌÇØ°¡ Àß ¾È °¡¼­ Áú¹® µå¸³´Ï´Ù.

 

r = + mu ¶ó°í Çؼ­ mu °¡ ¾ç¼öÀÏ ÇÊ¿ä´Â ¾øÁö ¾Ê³ª¿ä?

 

°¨»çÇÕ´Ï´Ù.

 

#°ø¾÷¼öÇÐ #Bessel #ODE

¡Ø ´äº¯ ¿Ï·áµÈ Áú¹®°ú ´äº¯Àº ¼öÁ¤ ¹× »èÁ¦°¡ ºÒ°¡ÇÕ´Ï´Ù.

RE : RE : [05°­] Bessel's Equation

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ÀÛ¼ºÀÏ2024-05-30 04:31
¼öÁ¤ÀÏ2024-05-30 04:31
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Áú¹®ÀÌ ÀÌÇØ°¡ °¡Áö ¾Ê½À´Ï´Ù. 

 

(2¥í+1)a1 = 0 ½Ä¿¡¼­

¥í > 0 À̱⠶§¹®¿¡ (2¥í+1)Àº 0ÀÌ µÉ ¼ö°¡ ¾ø°í,

µû¶ó¼­ a1ÀÌ 0ÀÏ ¼ö¹Û¿¡ ¾ø´Ù´Â °ÍÀ» ¸»¾¸µå¸° °Ì´Ï´Ù.

 

Á¦°¡ Áú¹®À» À߸ø ÀÌÇØÇß´Ù¸é, ´Ù½Ã Áú¹®ÇØ Áֽñ⠹ٶø´Ï´Ù.

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