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Solution of Laplace equation in 3D Spherical Polar Coordinate by using Separation Variable Method
PHYSICS CLASSES by Dr.Ranjit Sir (Ph. D; NIT Rkl)
Feb 14, 2022
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𝑳𝒆𝒄𝒕 07: 𝑫𝒆𝒇𝒊𝒏𝒊𝒕𝒊𝒐𝒏, 𝑶𝒕𝒉𝒆𝒓 𝑭𝒐𝒓𝒎𝒔 𝒐𝒇 𝑩𝒆𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑩𝒆𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
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𝑳𝒆𝒄𝒕 06: 𝑫𝒊𝒔𝒄𝒖𝒔𝒔𝒊𝒐𝒏: 𝒐𝒇 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑮𝒂𝒎𝒎𝒂 (𝚪) 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 [𝑷𝒂𝒓𝒕-02]
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𝑳𝒆𝒄𝒕 09: 𝑫𝒊𝒔𝒄𝒖𝒔𝒔𝒊𝒐𝒏 𝒐𝒇 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑩𝒆𝒕𝒂 (𝜷) 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 [𝑷𝒂𝒓𝒕-02]
𝑳𝒆𝒄𝒕 04: 𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑮𝒂𝒎𝒎𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒉𝒂𝒗𝒊𝒏𝒈 +𝒗𝒆 𝒂𝒏𝒅 –𝒗𝒆 𝑭𝒓𝒂𝒄𝒕𝒊𝒐𝒏𝒔
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𝑳𝒆𝒄𝒕 10: 𝑴𝒊𝒔𝒄𝒆𝒍𝒍𝒂𝒏𝒆𝒐𝒖𝒔 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑮𝒂𝒎𝒎𝒂 [ Ґ (𝒏) ] 𝒂𝒏𝒅 𝑩𝒆𝒕𝒂 [β (𝒑 , 𝒒)] 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
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𝑳𝒆𝒄𝒕 5: 𝑫𝒊𝒔𝒄𝒖𝒔𝒔𝒊𝒐𝒏 𝒐𝒇 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑮𝒂𝒎𝒎𝒂 (𝚪) 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 [𝑷𝒂𝒓𝒕-01]