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"ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ ᠠ"-ны өөр хувилбарууд

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== ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ==
== ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ==
ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌<sup>quantum mechanics</sup> ᠠᠲ᠋ᠣᠮ ᠠᠴᠠ ᠵᠢᠵᠢᠭ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮᠰ᠂ ᠶᠠᠭᠤᠨ ᠤ ᠡᠮᠦᠨ᠎ᠡ ᠪᠣᠽᠣᠨ<sup>boson</sup> (ᠵᠢᠱᠢᠶ᠎ᠡ ᠨᠢ ᠹᠣᠲ᠋ᠣᠨ<sup>photon</sup>ᠪᠠ ᠹᠧᠷᠮᠢᠣᠨ ᠤ<sup>fermion</sup> (ᠵᠢᠱᠢᠶᠡᠯᠡᠪᠡᠯ᠂ ᠨᠧᠦᠲ᠋ᠷᠣᠨ) ᠬᠥᠳᠡᠯᠭᠡᠭᠡᠨ᠂ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠦᠢᠯᠡᠴᠢᠯᠡᠯ ᠢ ᠰᠤᠳᠤᠯᠳᠠᠭ᠃ ᠴᠢᠩᠭᠢᠬᠦ ᠳᠦ ᠪᠡᠨ ᠲᠡᠳᠡᠭᠡᠷ ᠦᠨ ᠦᠢᠯᠡ ᠬᠥᠳᠡᠯᠦᠯ ᠦᠨ ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠭ᠌ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋ᠢᠯᠠᠯᠲᠠ ᠶᠢ ᠮᠠᠭᠠᠳᠯᠠᠯ ᠤᠨ ᠤᠳᠬ᠎ᠠ ᠪᠠᠷ ᠭᠠᠷᠭᠠᠳᠠᠭ᠃ ᠴᠤᠬᠤᠮ ᠳᠠᠭᠠᠨ ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠦᠨᠳᠦᠰᠦ ᠰᠠᠭᠤᠷᠢ ᠪᠣᠯᠳᠠᠭ᠃ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠲᠤ ᠱᠷᠥ᠋ᠲᠢᠩᠧᠷ ᠤᠨ <sup>Schrödinger</sup> ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠦᠨ ᠠᠴᠢ ᠬᠣᠯᠪᠣᠭᠳᠠᠯ ᠨᠢ ᠰᠣᠩᠭᠣᠳᠠᠭ ᠹᠢᠽᠢᡘ ᠳ᠋ᠡᠬᠢ ᠨᠧᠧᠲ᠋ᠣᠨ᠍ ᠤ ᠬᠣᠶᠠᠳᠤᠭᠠᠷ ᠬᠠᠤᠯᠢ ᠶᠢᠨ ᠠᠳᠠᠯᠢ ᠶᠤᠮ᠃ ᠠᠯᠢ ᠠᠯᠢ ᠨᠢ ᠪᠥᠭᠡᠮ ᠦᠨ ᠪᠠᠶ᠋ᠢᠷᠢᠯᠠᠯ᠂ ᠢᠮᠫᠦ᠋ᠯᠰ ᠢ <sup>impuls</sup> ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠭᠴᠢᠯᠠᠨ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋ᠢᠯᠠᠳᠠᠭ᠃ ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ ᠨᠢ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠢ<sup>function</sup> ᠢᠯᠡᠷᠬᠡᠶ᠋ᠢᠯᠡᠬᠦ ᠳᠦ ᠲᠣᠬᠢᠷᠠᠮᠵᠢ ᠲᠠᠢ ᠤᠴᠢᠷ ᠠᠴᠠ ᠹᠢᠽᠢᠻ ᠦᠨ ᠡᠨᠡ ᠰᠠᠯᠪᠤᠷᠢ ᠳᠤ ᠵᠠᠶ᠋ᠢᠯᠠᠰᠢ ᠦᠭᠡᠢ ᠱᠠᠭᠠᠷᠳᠠᠯᠭ᠎ᠠ ᠲᠠᠢ ᠶᠤᠮ᠃ ᠴᠠᠭᠠᠰᠢᠯᠠᠪᠠᠯ᠂ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠰᠢᠭᠤᠳ ᠨᠥᠯᠥᠭᠡ ᠪᠡᠷ ᠬᠢᠮᠢ ᠶᠢᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠬᠥᠭᠵᠢᠯ ᠡᠷᠴᠢᠮᠵᠢᠭᠰᠡᠨ᠃ 1927 ᠣᠨ ᠳᠤ ᠸᠠᠯᠲ᠋ᠧᠷ ᠾᠠᠢᠢᠲ᠋ᠯᠧᠷ<sup>Walter Heitler</sup> ᠂ ᠹᠷᠢᠼ ᠯᠣᠨ᠍ᠳᠣᠨ<sup>Fritz London</sup> ᠨᠠᠷ ᠸᠠᠯᠧᠨ᠍ᠲ ᠤᠨ ᠬᠣᠯᠪᠣᠭᠠᠰᠤ ᠶᠢᠨ ᠣᠨᠣᠯ ᠢ ᠲᠣᠮᠢᠶᠠᠯᠠᠭᠰᠠᠨ᠃ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠨᠢᠭᠡ ᠭᠣᠣᠯ ᠠᠰᠠᠭᠤᠳᠠᠯ ᠪᠣᠯ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠢ ᠤᠯᠬᠤ ᠶᠠᠪᠤᠳᠠᠯ ᠶᠤᠮ᠃ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠭᠡᠳᠡᠭ ᠨᠢ ᠲᠣᠳᠣᠷᠬᠠᠢ ᠬᠤᠭᠤᠴᠠᠭᠠᠨ ᠤ ᠵᠤᠷᠪᠤᠰ ᠲᠤ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮ ᠦᠨ ᠪᠠᠶ᠋ᠢᠵᠤ ᠪᠣᠯᠬᠤ ᠪᠠᠶ᠋ᠢᠷᠢᠰᠢᠯ ᠤᠳ ᠤᠨ ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠮᠠᠭᠠᠳᠯᠠᠯ ᠤᠨ ᠲᠠᠷᠬᠠᠯᠲᠠ ᠶᠤᠮ᠄   
ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌<sup>quantum mechanics</sup> ᠠᠲ᠋ᠣᠮ ᠠᠴᠠ ᠵᠢᠵᠢᠭ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮᠰ᠂ ᠶᠠᠭᠤᠨ ᠤ ᠡᠮᠦᠨ᠎ᠡ ᠪᠣᠽᠣᠨ<sup>boson</sup> (ᠵᠢᠱᠢᠶ᠎ᠡ ᠨᠢ ᠹᠣᠲ᠋ᠣᠨ<sup>photon</sup>ᠪᠠ ᠹᠧᠷᠮᠢᠣᠨ ᠤ<sup>fermion</sup> (ᠵᠢᠱᠢᠶᠡᠯᠡᠪᠡᠯ᠂ ᠨᠧᠦᠲ᠋ᠷᠣᠨ) ᠬᠥᠳᠡᠯᠭᠡᠭᠡᠨ᠂ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠦᠢᠯᠡᠴᠢᠯᠡᠯ ᠢ ᠰᠤᠳᠤᠯᠳᠠᠭ᠃  
 
<math>\frac{-\hbar}{2m}\frac{\partial^2\Psi(x,t)}{\partial x^2} + V(x,t)\Psi(x,t) = i\hbar\frac{\partial \Psi(x,t)}{\partial t}</math>
ᠴᠢᠩᠭᠢᠬᠦ ᠳᠦ ᠪᠡᠨ ᠲᠡᠳᠡᠭᠡᠷ ᠦᠨ ᠦᠢᠯᠡ ᠬᠥᠳᠡᠯᠦᠯ ᠦᠨ ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠭ᠌ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋ᠢᠯᠠᠯᠲᠠ ᠶᠢ ᠮᠠᠭᠠᠳᠯᠠᠯ ᠤᠨ ᠤᠳᠬ᠎ᠠ ᠪᠠᠷ ᠭᠠᠷᠭᠠᠳᠠᠭ᠃  
 
ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠲᠦ ᠰᠢᠲᠦᠭᠰᠡᠨ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠰᠠᠭᠤᠷᠢ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠨᠢᠭᠡ ᠪᠣᠯ ᠳᠡᠭᠡᠷ᠎ᠡ ᠳᠤᠷᠠᠳᠤᠭᠰᠠᠨ ᠱᠷᠥ᠋ᠲᠢᠩᠧᠷ ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠶᠤᠮ᠃
ᠴᠤᠬᠤᠮ ᠳᠠᠭᠠᠨ ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠦᠨᠳᠦᠰᠦ ᠰᠠᠭᠤᠷᠢ ᠪᠣᠯᠳᠠᠭ᠃  
 
ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠲᠤ ᠱᠷᠥ᠋ᠲᠢᠩᠧᠷ ᠤᠨ <sup>Schrödinger</sup> ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠦᠨ ᠠᠴᠢ ᠬᠣᠯᠪᠣᠭᠳᠠᠯ ᠨᠢ ᠰᠣᠩᠭᠣᠳᠠᠭ ᠹᠢᠽᠢᡘ ᠳ᠋ᠡᠬᠢ ᠨᠧᠧᠲ᠋ᠣᠨ᠍ ᠤ ᠬᠣᠶᠠᠳᠤᠭᠠᠷ ᠬᠠᠤᠯᠢ ᠶᠢᠨ ᠠᠳᠠᠯᠢ ᠶᠤᠮ᠃  
 
ᠠᠯᠢ ᠠᠯᠢ ᠨᠢ ᠪᠥᠭᠡᠮ ᠦᠨ ᠪᠠᠶ᠋ᠢᠷᠢᠯᠠᠯ᠂ ᠢᠮᠫᠦ᠋ᠯᠰ ᠢ <sup>impuls</sup> ᠮᠠᠲ᠋ᠾᠧᠮᠠᠲ᠋ᠢᠭᠴᠢᠯᠠᠨ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋ᠢᠯᠠᠳᠠᠭ᠃  
 
ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠲᠣᠭ᠎ᠠ ᠨᠢ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠢ<sup>function</sup> ᠢᠯᠡᠷᠬᠡᠶ᠋ᠢᠯᠡᠬᠦ ᠳᠦ ᠲᠣᠬᠢᠷᠠᠮᠵᠢ ᠲᠠᠢ ᠤᠴᠢᠷ ᠠᠴᠠ ᠹᠢᠽᠢᠻ ᠦᠨ ᠡᠨᠡ ᠰᠠᠯᠪᠤᠷᠢ ᠳᠤ ᠵᠠᠶ᠋ᠢᠯᠠᠰᠢ ᠦᠭᠡᠢ ᠱᠠᠭᠠᠷᠳᠠᠯᠭ᠎ᠠ ᠲᠠᠢ ᠶᠤᠮ᠃  
 
ᠴᠠᠭᠠᠰᠢᠯᠠᠪᠠᠯ᠂ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠰᠢᠭᠤᠳ ᠨᠥᠯᠥᠭᠡ ᠪᠡᠷ ᠬᠢᠮᠢ ᠶᠢᠨ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ ᠤ ᠬᠥᠭᠵᠢᠯ ᠡᠷᠴᠢᠮᠵᠢᠭᠰᠡᠨ᠃  
 
1927 ᠣᠨ ᠳᠤ ᠸᠠᠯᠲ᠋ᠧᠷ ᠾᠠᠢᠢᠲ᠋ᠯᠧᠷ<sup>Walter Heitler</sup> ᠂ ᠹᠷᠢᠼ ᠯᠣᠨ᠍ᠳᠣᠨ<sup>Fritz London</sup> ᠨᠠᠷ ᠸᠠᠯᠧᠨ᠍ᠲ ᠤᠨ ᠬᠣᠯᠪᠣᠭᠠᠰᠤ ᠶᠢᠨ ᠣᠨᠣᠯ ᠢ ᠲᠣᠮᠢᠶᠠᠯᠠᠭᠰᠠᠨ᠃  
 
ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠨᠢᠭᠡ ᠭᠣᠣᠯ ᠠᠰᠠᠭᠤᠳᠠᠯ ᠪᠣᠯ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠢ ᠤᠯᠬᠤ ᠶᠠᠪᠤᠳᠠᠯ ᠶᠤᠮ᠃  
 
ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠭᠡᠳᠡᠭ ᠨᠢ ᠲᠣᠳᠣᠷᠬᠠᠢ ᠬᠤᠭᠤᠴᠠᠭᠠᠨ ᠤ ᠵᠤᠷᠪᠤᠰ ᠲᠤ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮ ᠦᠨ ᠪᠠᠶ᠋ᠢᠵᠤ ᠪᠣᠯᠬᠤ ᠪᠠᠶ᠋ᠢᠷᠢᠰᠢᠯ ᠤᠳ ᠤᠨ ᠺᠣᠮᠫ᠊ᠯᠧᠺᠰ ᠮᠠᠭᠠᠳᠯᠠᠯ ᠤᠨ ᠲᠠᠷᠬᠠᠯᠲᠠ ᠶᠤᠮ᠄   
 


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<small><math>\frac{-\hbar}{2m}\frac{\partial^2\Psi(x,t)}{\partial x^2} + V(x,t)\Psi(x,t) = i\hbar\frac{\partial \Psi(x,t)}{\partial t}</math></small>
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ᠻᠢᠨᠧᠲᠢᠭ<sup>kinetic</sup> ᠧᠨᠧᠷᠭᠢ<sup>energy</sup>
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ᠫᠥᠲ᠋ᠧᠨ᠍ᠼᠢᠶᠠᠯ<sup>potencial</sup> ᠧᠨᠧᠷᠭᠢ
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ᠨᠡᠢᠢᠲᠡ ᠧᠨᠧᠷᠭᠢ
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ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨ᠍ᠻᠼ ᠲᠦ ᠰᠢᠲᠦᠭᠰᠡᠨ ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ᠌ ᠤᠨ ᠰᠠᠭᠤᠷᠢ ᠲᠣᠮᠢᠶᠠᠨ ᠤ ᠨᠢᠭᠡ ᠪᠣᠯ ᠳᠡᠭᠡᠷ᠎ᠡ ᠳᠤᠷᠠᠳᠤᠭᠰᠠᠨ ᠱᠷᠥ᠋ᠲᠢᠩᠧᠷ ᠤᠨ ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠶᠤᠮ᠃


ᠡᠨᠡᠬᠦ ᠲᠣᠮᠢᠶ᠎ᠠ ᠶᠢ ᠠᠰᠢᠭᠯᠠᠭᠰᠠᠨ ‍‍ᠢᠶ᠋ᠠᠷ ᠤᠰᠤ ᠲᠥᠷᠦᠭᠴᠢ ᠶᠢᠨ ᠮᠣᠯᠧᠻᠤᠯ ᠳᠠᠬᠢ ᠬᠣᠶᠠᠷ ᠠᠲ᠋ᠣᠮ ᠨᠢ ᠻᠣᠸᠠᠯᠧᠨ᠍ᠲ<sup>covalent</sup> ᠬᠣᠯᠪᠣᠭ᠎ᠠ ᠭᠡᠳᠡᠭ ᠢ ᠡᠭᠦᠰᠬᠡᠨ ᠧᠯᠧᠻᠲ᠋ᠷᠣᠨ ᠨᠤᠭᠤᠳ ᠢᠢᠠᠨ ᠬᠤᠪᠢᠶᠠᠯᠴᠠᠵᠤ ᠪᠠᠶ᠋ᠢᠳᠠᠭ ᠢ ᠪᠠᠲᠤᠯᠠᠭᠰᠠᠨ᠃<ref>Josiah Wu. Real Life Applications of Complex Numbers. 2020<nowiki/>https://issuu.com/harrowhongkong/docs/final_scientific_harrovian_issue_vi-i/s/11488755</ref>
ᠡᠨᠡᠬᠦ ᠲᠣᠮᠢᠶ᠎ᠠ ᠶᠢ ᠠᠰᠢᠭᠯᠠᠭᠰᠠᠨ ‍‍ᠢᠶ᠋ᠠᠷ ᠤᠰᠤ ᠲᠥᠷᠦᠭᠴᠢ ᠶᠢᠨ ᠮᠣᠯᠧᠻᠤᠯ ᠳᠠᠬᠢ ᠬᠣᠶᠠᠷ ᠠᠲ᠋ᠣᠮ ᠨᠢ ᠻᠣᠸᠠᠯᠧᠨ᠍ᠲ<sup>covalent</sup> ᠬᠣᠯᠪᠣᠭ᠎ᠠ ᠭᠡᠳᠡᠭ ᠢ ᠡᠭᠦᠰᠬᠡᠨ ᠧᠯᠧᠻᠲ᠋ᠷᠣᠨ ᠨᠤᠭᠤᠳ ᠢᠢᠠᠨ ᠬᠤᠪᠢᠶᠠᠯᠴᠠᠵᠤ ᠪᠠᠶ᠋ᠢᠳᠠᠭ ᠢ ᠪᠠᠲᠤᠯᠠᠭᠰᠠᠨ᠃<ref>Josiah Wu. Real Life Applications of Complex Numbers. 2020 https://issuu.com/harrowhongkong/docs/final_scientific_harrovian_issue_vi-i/s/11488755</ref>




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