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PHYSICS CLASSES by Dr.Ranjit Sir (Ph. D; NIT Rkl) @UCUWBt6uCH_xfnC4JU_KaZSg@youtube.com

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Applied Physics and Research Topics (B.Sc and and M.Sc ): I


15:34
𝑯𝒐𝒍𝒐𝒈𝒓𝒂𝒑𝒉𝒚: 𝑹𝒆𝒄𝒐𝒓𝒅𝒊𝒏𝒈 𝒂𝒏𝒅 𝑹𝒆𝒄𝒐𝒏𝒔𝒕𝒓𝒖𝒄𝒕𝒊𝒐𝒏 𝒐𝒇 𝒂𝒏 𝑶𝒃𝒋𝒆𝒄𝒕
16:56
Lect-05: 𝑺𝒌𝒊𝒑 𝑫𝒊𝒔𝒕𝒂𝒏𝒄𝒆 𝒂𝒏𝒅 𝑵𝒖𝒎𝒃𝒆𝒓 𝒐𝒇 𝑻𝒐𝒕𝒂𝒍 𝑰𝒏𝒕𝒆𝒓𝒏𝒂𝒍 𝑹𝒆𝒇𝒍𝒆𝒄𝒕𝒊𝒐𝒏𝒔 & 𝑵𝒖𝒎𝒆𝒓𝒊𝒄𝒂𝒍
08:45
Lect-04: 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑵𝒖𝒎𝒆𝒓𝒊𝒄𝒂𝒍 𝑩𝒂𝒔𝒆𝒅 𝒐𝒏: 𝑨𝒄𝒄𝒆𝒑𝒕𝒂𝒏𝒄𝒆 𝑨𝒏𝒈𝒍𝒆 𝒂𝒏𝒅 𝑵𝒖𝒎𝒆𝒓𝒊𝒄𝒂𝒍 𝑨𝒑𝒆𝒓𝒕𝒖𝒓𝒆
04:51
Lect-03: 𝑭𝒓𝒂𝒄𝒕𝒊𝒐𝒏𝒂𝒍 𝑹𝒆𝒇𝒓𝒂𝒄𝒕𝒊𝒗𝒆 𝑰𝒏𝒅𝒆𝒙 𝑪𝒉𝒂𝒏𝒈𝒆 𝒂𝒏𝒅 𝑵𝒖𝒎𝒆𝒓𝒊𝒄𝒂𝒍 𝑨𝒑𝒆𝒓𝒕𝒖𝒓𝒆
18:03
Lect-02: 𝑨𝒄𝒄𝒆𝒑𝒕𝒂𝒏𝒄𝒆 𝑨𝒏𝒈𝒍𝒆 𝒂𝒏𝒅 𝑨𝒄𝒄𝒆𝒑𝒕𝒂𝒏𝒄𝒆 𝑪𝒐𝒏𝒆
08:50
Lect-01: 𝑰𝒏𝒕𝒓𝒐𝒅𝒖𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑩𝒂𝒔𝒊𝒄 𝑷𝒓𝒊𝒏𝒄𝒊𝒑𝒍𝒆 𝒐𝒇 𝑫𝒂𝒕𝒂 𝑷𝒓𝒐𝒑𝒂𝒈𝒂𝒕𝒊𝒐𝒏 𝒊𝒏 𝑭𝒊𝒃𝒆𝒓𝒔
13:15
Lect-15: 𝑺𝒆𝒎𝒊𝒄𝒐𝒏𝒅𝒖𝒄𝒕𝒐𝒓 𝑫𝒊𝒐𝒅𝒆 𝑳𝒂𝒔𝒆𝒓 (𝑪𝒐𝒏𝒔𝒕𝒓𝒖𝒄𝒕𝒊𝒐𝒏, 𝒘𝒐𝒓𝒌𝒊𝒏𝒈 𝒂𝒏𝒅 𝒂𝒑𝒑𝒍𝒊𝒄𝒂𝒕𝒊𝒐𝒏𝒔)
11:33
Lect-14: 𝑯𝒆𝒍𝒊𝒖𝒎 (𝑯𝒆) - 𝑵𝒆𝒐𝒏 (𝑵𝒆) 𝑳𝒂𝒔𝒆𝒓 (𝑪𝒐𝒏𝒔𝒕𝒓𝒖𝒄𝒕𝒊𝒐𝒏, 𝒘𝒐𝒓𝒌𝒊𝒏𝒈 𝒂𝒏𝒅 𝒂𝒑𝒑𝒍𝒊𝒄𝒂𝒕𝒊𝒐𝒏𝒔)
10:38
Lect-13: 𝑵𝒅-𝒀𝑨𝑮 𝑳𝒂𝒔𝒆𝒓 (𝑪𝒐𝒏𝒔𝒕𝒓𝒖𝒄𝒕𝒊𝒐𝒏, 𝒘𝒐𝒓𝒌𝒊𝒏𝒈 𝒂𝒏𝒅 𝒂𝒑𝒑𝒍𝒊𝒄𝒂𝒕𝒊𝒐𝒏𝒔)
31:40
Lect-11: 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑵𝒖𝒎𝒆𝒓𝒊𝒄𝒂𝒍𝒔 𝒐𝒏 𝑳𝒂𝒔𝒆𝒓 𝒂𝒏𝒅 𝑬𝒊𝒏𝒔𝒕𝒆𝒊𝒏'𝒔 𝑪𝒐𝒆𝒇𝒇𝒊𝒄𝒊𝒆𝒏𝒕𝒔: 𝑨 & 𝑩
11:09
Lect-12: 𝑹𝒖𝒃𝒃𝒚 𝑳𝒂𝒔𝒆𝒓 (𝑪𝒐𝒏𝒔𝒕𝒓𝒖𝒄𝒕𝒊𝒐𝒏, 𝒘𝒐𝒓𝒌𝒊𝒏𝒈 𝒂𝒏𝒅 𝒂𝒑𝒑𝒍𝒊𝒄𝒂𝒕𝒊𝒐𝒏𝒔)
20:15
Lect-10: 𝑹𝒂𝒕𝒆 𝑬𝒒𝒖𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑭𝒐𝒖𝒓 (04) 𝑳𝒆𝒗𝒆𝒍 𝑳𝒂𝒔𝒆𝒓 𝑺𝒚𝒔𝒕𝒆𝒎
41:09
Lect-09: 𝑹𝒂𝒕𝒆 𝑬𝒒𝒖𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑻𝒉𝒓𝒆𝒆 (03) 𝑳𝒆𝒗𝒆𝒍 𝑳𝒂𝒔𝒆𝒓 𝑺𝒚𝒔𝒕𝒆𝒎
14:23
Lect-08: 𝑹𝒂𝒕𝒆 𝑬𝒒𝒖𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑻𝒘𝒐 (02) 𝑳𝒆𝒗𝒆𝒍 𝑳𝒂𝒔𝒆𝒓 𝑺𝒚𝒔𝒕𝒆𝒎
09:29
Lect-07: 𝑼𝒏𝒊𝒕 𝒂𝒏𝒅 𝑫𝒊𝒎𝒆𝒏𝒔𝒊𝒐𝒏 𝒐𝒇 𝑬𝒊𝒏𝒔𝒕𝒆𝒊𝒏'𝒔 𝑪𝒐𝒆𝒇𝒇𝒊𝒄𝒊𝒆𝒏𝒕𝒔: 𝑨 𝒂𝒏𝒅 𝑩
30:43
Lect-06: 𝑬𝒊𝒏𝒔𝒕𝒆𝒊𝒏'𝒔 𝑨 𝒂𝒏𝒅 𝑩 𝑪𝒐𝒆𝒇𝒇𝒊𝒄𝒊𝒆𝒏𝒕𝒔: [𝒕𝒉𝒆𝒊𝒓 𝑹𝒆𝒍𝒂𝒕𝒊𝒐𝒏𝒔 𝒂𝒏𝒅 𝑷𝒉𝒚𝒔𝒊𝒄𝒂𝒍 𝑺𝒊𝒈𝒏𝒊𝒇𝒊𝒄𝒂𝒏𝒄𝒆]
18:38
Lect-5: 𝑫𝒊𝒇𝒇𝒆𝒓𝒆𝒏𝒄𝒆 𝒃𝒆𝒕𝒘𝒆𝒆𝒏 𝑳𝒊𝒈𝒉𝒕 𝒃𝒚 𝑺𝒑𝒐𝒏𝒕𝒂𝒏𝒆𝒐𝒖𝒔 𝒂𝒏𝒅 𝑺𝒕𝒊𝒎𝒖𝒍𝒂𝒕𝒆𝒅 𝑬𝒎𝒊𝒔𝒔𝒊𝒐𝒏 & 𝑨𝒑𝒑𝒍𝒊𝒄𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑳𝒂𝒔𝒆𝒓
19:13
Lect-04: 𝑹𝒆𝒔𝒐𝒏𝒂𝒏𝒄𝒆 𝒄𝒐𝒏𝒅𝒊𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑻𝒉𝒓𝒆𝒔𝒉𝒐𝒍𝒅 𝑪𝒐𝒏𝒅𝒊𝒕𝒊𝒐𝒏 𝒇𝒐𝒓 𝑳𝒂𝒔𝒆𝒓 𝑶𝒔𝒄𝒊𝒍𝒍𝒂𝒕𝒊𝒐𝒏
09:00
Lect-3: 𝑩𝒂𝒔𝒊𝒄 𝑪𝒐𝒎𝒑𝒐𝒏𝒆𝒏𝒕𝒔 𝒐𝒇 𝑳𝑨𝑺𝑬𝑹
12:04
Lect-02: 𝑴𝒆𝒕𝒂-𝒔𝒕𝒂𝒃𝒍𝒆 𝑺𝒕𝒂𝒕𝒆 𝒂𝒏𝒅 𝑷𝒐𝒑𝒖𝒍𝒂𝒕𝒊𝒐𝒏 𝑰𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏
04:36
𝑱𝑨𝑴-2025: 𝑸-17: 𝑻𝒘𝒐 𝒎𝒂𝒔𝒔𝒆𝒔, 𝑴1 𝒂𝒏𝒅 𝑴2, 𝒂𝒓𝒆 𝒄𝒐𝒏𝒏𝒆𝒄𝒕𝒆𝒅 𝒕𝒉𝒓𝒐𝒖𝒈𝒉 𝒂 𝒎𝒂𝒔𝒔𝒍𝒆𝒔𝒔 𝒔𝒑𝒓𝒊𝒏𝒈 𝒐𝒇 𝒔𝒑𝒓𝒊𝒏𝒈 𝒄𝒐𝒏𝒔𝒕𝒂𝒏𝒕 𝒌
16:58
Lect-01: 𝑩𝒂𝒔𝒊𝒄 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 / 𝑪𝒉𝒂𝒓𝒂𝒄𝒕𝒆𝒓𝒊𝒔𝒕𝒊𝒄𝒔 𝒐𝒇 𝑳𝑨𝑺𝑬𝑹 𝒂𝒏𝒅 𝑪𝒐𝒏𝒄𝒆𝒑𝒕 / 𝑷𝒓𝒊𝒏𝒄𝒊𝒑𝒍𝒆 𝒐𝒇 𝑳𝑨𝑺𝑬𝑹
44:35
𝑪𝒂𝒍𝒄𝒖𝒍𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑨𝒄𝒕𝒊𝒗𝒂𝒕𝒊𝒐𝒏 𝑬𝒏𝒆𝒓𝒈𝒚 (𝑬𝒂) 𝒇𝒓𝒐𝒎 𝑰𝒎𝒑𝒆𝒅𝒂𝒏𝒄𝒆 [𝒁′′ (𝝎)] 𝒂𝒏𝒅 𝑴𝒐𝒅𝒖𝒍𝒖𝒔 [𝑴′′ (𝝎)] 𝑫𝒂𝒕𝒂
13:32
Lect-07: 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝒕𝒐 𝑩𝑪𝑫 (𝑩𝒊𝒏𝒂𝒓𝒚 𝑪𝒐𝒅𝒆𝒅 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝑪𝒐𝒅𝒆) 𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏
09:41
Lect-06: 𝑯𝒆𝒙𝒂𝒅𝒆𝒄𝒊𝒎𝒂𝒍 𝒕𝒐 𝑶𝒄𝒕𝒂𝒍 𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏 𝒂𝒏𝒅 𝑽𝒊𝒄𝒆-𝑽𝒆𝒓𝒔𝒂
09:36
Lect-05: 𝑯𝒆𝒙𝒂𝒅𝒆𝒄𝒊𝒎𝒂𝒍 𝒕𝒐 𝑩𝒊𝒏𝒂𝒓𝒚 𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏 𝒂𝒏𝒅 𝑽𝒊𝒄𝒆-𝑽𝒆𝒓𝒔𝒂
14:11
Let-04: 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝒕𝒐 𝑯𝒆𝒙𝒂𝒅𝒆𝒄𝒊𝒎𝒂𝒍 𝒂𝒏𝒅 𝑯𝒆𝒙𝒂𝒅𝒆𝒄𝒊𝒎𝒂𝒍 𝒕𝒐 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏
09:01
Lect-03: 𝑶𝒄𝒕𝒂𝒍 𝒕𝒐 𝑩𝒊𝒏𝒂𝒓𝒚 𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏 𝒂𝒏𝒅 𝑽𝒊𝒄𝒆-𝑽𝒆𝒓𝒔𝒂
11:33
Lect-02: 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝒕𝒐 𝑶𝒄𝒕𝒂𝒍 𝒂𝒏𝒅 𝑶𝒄𝒕𝒂𝒍 𝒕𝒐 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏
18:45
Lect-01: 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝒕𝒐 𝑩𝒊𝒏𝒂𝒓𝒚 𝒂𝒏𝒅 𝑩𝒊𝒏𝒂𝒓𝒚 𝒕𝒐 𝑫𝒆𝒄𝒊𝒎𝒂𝒍 𝑪𝒐𝒏𝒗𝒆𝒓𝒔𝒊𝒐𝒏
23:31
Lect-05 (Part c): 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒗𝒆 (𝒘𝒊𝒕𝒉 𝑰𝒎𝒑. 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 )
21:51
Lect-08 (Part-f):𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒗𝒆 (𝒘𝒊𝒕𝒉 𝑰𝒎𝒑. 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 )
09:44
Lect-07 (Part-e): 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒗𝒆 (𝒘𝒊𝒕𝒉 𝑰𝒎𝒑. 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 )
23:10
Lect-06 (Part d): 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒗𝒆 (𝒘𝒊𝒕𝒉 𝑰𝒎𝒑. 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 )
16:10
Lect-04 (Part-b): 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒗𝒆 (𝒘𝒊𝒕𝒉 𝑰𝒎𝒑. 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 )
28:54
Lect-03 (Part-a): 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒗𝒆 (𝒘𝒊𝒕𝒉 𝑰𝒎𝒑. 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 )
25:45
Lect-02: 𝑹𝒆𝒑𝒓𝒆𝒔𝒆𝒏𝒕𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑨𝒑𝒑𝒍𝒊𝒄𝒂𝒕𝒊𝒐𝒏𝒔
12:30
Lect-01: 𝑰𝒏𝒕𝒓𝒐𝒅𝒖𝒄𝒕𝒊𝒐𝒏 𝒕𝒐 𝑫𝒊𝒓𝒂𝒄 𝑫𝒆𝒍𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
05:36
Lect-9: 𝑻𝒚𝒑𝒆-𝑰 𝒂𝒏𝒅 𝑻𝒚𝒑𝒆-𝑰𝑰 𝑺𝒖𝒑𝒆𝒓𝒄𝒐𝒏𝒅𝒖𝒄𝒕𝒐𝒓𝒔 𝒂𝒏𝒅 𝑨𝒑𝒑𝒍𝒊𝒄𝒂𝒕𝒊𝒐𝒏𝒔 𝒐𝒇 𝑺𝒖𝒑𝒆𝒓𝒄𝒐𝒏𝒅𝒖𝒄𝒕𝒐𝒓𝒔
05:56
Lect-8: 𝑰𝒔𝒐𝒕𝒐𝒑𝒊𝒄 𝑬𝒇𝒇𝒆𝒄𝒕 𝒐𝒏 𝑺𝒖𝒑𝒆𝒓𝒄𝒐𝒏𝒅𝒖𝒄𝒕𝒊𝒗𝒊𝒕𝒚
18:24
Lect-7: 𝑩𝑪𝑺 𝑻𝒉𝒆𝒐𝒓𝒚 𝒐𝒏 𝑺𝒖𝒑𝒆𝒓𝒄𝒐𝒏𝒅𝒖𝒄𝒕𝒊𝒗𝒊𝒕𝒚 𝒂𝒏𝒅 𝑬𝒏𝒆𝒓𝒈𝒚 𝑮𝒂𝒑 (𝑬𝒈)
10:47
Lect-6: 𝑺𝒊𝒍𝒔𝒃𝒆𝒆 𝑬𝒇𝒇𝒆𝒄𝒕 𝒐𝒏 𝑺𝒖𝒑𝒆𝒓𝒄𝒐𝒏𝒅𝒖𝒄𝒕𝒊𝒗𝒊𝒕𝒚
08:46
Lect-05: 𝑪𝒓𝒊𝒕𝒊𝒄𝒂𝒍 𝒎𝒂𝒈𝒏𝒆𝒕𝒊𝒄 𝒇𝒊𝒆𝒍𝒅 (𝑯𝑪) 𝒘𝒊𝒕𝒉 𝒊𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔
14:16
Lect-04: 𝑽𝒂𝒓𝒊𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑳𝒐𝒏𝒅𝒐𝒏 𝑷𝒆𝒏𝒆𝒕𝒓𝒂𝒕𝒊𝒐𝒏 𝒅𝒆𝒑𝒕𝒉 𝒘𝒊𝒕𝒉 𝑻𝒆𝒎𝒑𝒆𝒓𝒂𝒕𝒖𝒓𝒆
30:54
Lect-03: 𝑳𝒐𝒏𝒅𝒐𝒏’𝒔 𝑬𝒒𝒖𝒂𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑳𝒐𝒏𝒅𝒐𝒏 𝑷𝒆𝒏𝒆𝒕𝒓𝒂𝒕𝒊𝒐𝒏 𝒅𝒆𝒑𝒕𝒉
13:52
Lect-02: 𝑴𝒆𝒊𝒔𝒔𝒏𝒆𝒓'𝒔 𝑬𝒇𝒇𝒆𝒄𝒕 in Superconductor: 𝑷𝒆𝒓𝒇𝒆𝒄𝒕 𝑫𝒊𝒂𝒎𝒂𝒈𝒏𝒆𝒕𝒊𝒔𝒎
12:06
Lect-01: 𝑰𝒏𝒕𝒓𝒐𝒅𝒖𝒄𝒕𝒊𝒐𝒏 𝒕𝒐 𝑺𝒖𝒑𝒆𝒓𝒄𝒐𝒏𝒅𝒖𝒄𝒕𝒊𝒗𝒊𝒕𝒚
16:18
𝑽𝒆𝒓𝒊𝒇𝒊𝒄𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑯𝒆𝒊𝒔𝒆𝒏𝒃𝒆𝒓𝒈 𝑼𝒏𝒄𝒆𝒓𝒕𝒂𝒊𝒏𝒕𝒚 𝑷𝒓𝒊𝒏𝒄𝒊𝒑𝒍𝒆: ∆𝒙 . ∆𝒑 ≥ ℏ/𝟐 💥
23:51
𝑵𝒖𝒎𝒆𝒓𝒊𝒄𝒂𝒍 𝒐𝒏 𝑬𝒙𝒑𝒆𝒄𝒕𝒂𝒕𝒊𝒐𝒏 𝑽𝒂𝒍𝒖𝒆 𝑭𝒊𝒏𝒅𝒊𝒏𝒈: ⟨𝒙 ̂ ⟩,⟨𝒑 ̂ ⟩ 𝒂𝒏𝒅 ⟨𝑯 ̂ ⟩ 𝒐𝒇 𝑶𝒏𝒆 𝑫𝒊𝒎𝒆𝒏𝒔𝒊𝒐𝒏𝒂𝒍 (𝟏𝑫) 𝑩𝒐𝒙
25:06
𝑬𝒙𝒑𝒆𝒄𝒕𝒂𝒕𝒊𝒐𝒏 𝑽𝒂𝒍𝒖𝒆 𝒐𝒇 𝒂 𝑷𝒉𝒚𝒔𝒊𝒄𝒂𝒍 𝑶𝒃𝒔𝒆𝒓𝒗𝒂𝒃𝒍𝒆 𝑨 : ⟨𝑨 ̂ ⟩ 𝒊𝒏 𝑸𝒖𝒂𝒏𝒕𝒖𝒎 𝑴𝒆𝒄𝒉𝒂𝒏𝒊𝒄𝒔
16:05
𝑹𝒐𝒍𝒍𝒊𝒏𝒈 𝒄𝒊𝒓𝒄𝒖𝒍𝒂𝒓 𝒅𝒊𝒔𝒌 𝒐𝒏 𝒂𝒏 𝒊𝒏𝒄𝒍𝒊𝒏𝒆𝒅 𝒑𝒍𝒂𝒏𝒆 || 𝑬𝒒𝒖𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝒎𝒐𝒕𝒊𝒐𝒏 𝒃𝒚 𝑳𝒂𝒈𝒓𝒂𝒏𝒈𝒆 𝒎𝒆𝒕𝒉𝒐𝒅
10:44
𝑴𝒆𝒓𝒈𝒊𝒏𝒈 𝒕𝒉𝒆 𝑴𝒖𝒍𝒕𝒊𝒑𝒍𝒆 𝑮𝒓𝒂𝒑𝒉𝒔 𝒃𝒚 𝑼𝒔𝒊𝒏𝒈 𝑶𝒓𝒊𝒈𝒊𝒏 𝑺𝒐𝒇𝒕𝒘𝒂𝒓𝒆
04:54
𝑷𝒍𝒐𝒕𝒕𝒊𝒏𝒈 𝒕𝒉𝒆 𝑹𝒆𝒇𝒊𝒏𝒆𝒅 𝑿𝑹𝑫 𝑫𝒂𝒕𝒂 (𝒓𝒆𝒇𝒊𝒏𝒆𝒅 𝒃𝒚 𝑭𝒖𝒍𝒍 𝒑𝒓𝒐𝒐𝒇 𝑺𝒖𝒊𝒕𝒆 𝑺𝒐𝒇𝒕𝒘𝒂𝒓𝒆 𝒑𝒂𝒄𝒌𝒂𝒈𝒆) 𝒃𝒚 𝑶𝒓𝒊𝒈𝒊𝒏 𝑺𝒐𝒇𝒕𝒘𝒂𝒓𝒆
00:43
𝑫𝒆𝒄𝒐𝒏𝒗𝒐𝒍𝒖𝒕𝒊𝒐𝒏 𝒐𝒇 𝑭𝒆 𝒔𝒑𝒆𝒄𝒕𝒓𝒖𝒎 𝒃𝒚 𝒖𝒔𝒊𝒏𝒈 𝒐𝒓𝒊𝒈𝒊𝒏-8.5 𝒔𝒐𝒇𝒕𝒘𝒂𝒓𝒆 𝒄𝒐𝒏𝒔𝒊𝒅𝒆𝒓𝒊𝒏𝒈 𝑮𝒂𝒖𝒔𝒔𝒊𝒂𝒏 𝒇𝒖𝒏𝒄𝒕𝒊𝒐𝒏
34:12
𝑳𝒆𝒄𝒕 10: 𝑴𝒊𝒔𝒄𝒆𝒍𝒍𝒂𝒏𝒆𝒐𝒖𝒔 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑮𝒂𝒎𝒎𝒂 [ Ґ (𝒏) ] 𝒂𝒏𝒅 𝑩𝒆𝒕𝒂 [β (𝒑 , 𝒒)] 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
22:26
𝑳𝒆𝒄𝒕 09: 𝑫𝒊𝒔𝒄𝒖𝒔𝒔𝒊𝒐𝒏 𝒐𝒇 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑩𝒆𝒕𝒂 (𝜷) 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 [𝑷𝒂𝒓𝒕-02]
01:26:07
𝑳𝒆𝒄𝒕 8: 𝑫𝒊𝒔𝒄𝒖𝒔𝒔𝒊𝒐𝒏 𝒐𝒇 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑩𝒆𝒕𝒂 (𝜷) 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 [𝑷𝒂𝒓𝒕-01]
45:46
𝑳𝒆𝒄𝒕 07: 𝑫𝒆𝒇𝒊𝒏𝒊𝒕𝒊𝒐𝒏, 𝑶𝒕𝒉𝒆𝒓 𝑭𝒐𝒓𝒎𝒔 𝒐𝒇 𝑩𝒆𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒂𝒏𝒅 𝑷𝒓𝒐𝒑𝒆𝒓𝒕𝒊𝒆𝒔 𝒐𝒇 𝑩𝒆𝒕𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏
45:37
𝑳𝒆𝒄𝒕 06: 𝑫𝒊𝒔𝒄𝒖𝒔𝒔𝒊𝒐𝒏: 𝒐𝒇 𝑰𝒎𝒑𝒐𝒓𝒕𝒂𝒏𝒕 𝑸𝒖𝒆𝒔𝒕𝒊𝒐𝒏𝒔 𝒐𝒏 𝑮𝒂𝒎𝒎𝒂 (𝚪) 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 [𝑷𝒂𝒓𝒕-02]
29:11
𝑳𝒆𝒄𝒕 04: 𝑬𝒗𝒂𝒍𝒖𝒂𝒕𝒊𝒐𝒏 𝒐𝒇 𝑮𝒂𝒎𝒎𝒂 𝑭𝒖𝒏𝒄𝒕𝒊𝒐𝒏 𝒉𝒂𝒗𝒊𝒏𝒈 +𝒗𝒆 𝒂𝒏𝒅 –𝒗𝒆 𝑭𝒓𝒂𝒄𝒕𝒊𝒐𝒏𝒔