ᠻᠸᠠᠨ᠍ᠲ ᠮᠧᠻᠠᠨᠢᠭ ᠊ᠤᠨ ᠦᠨᠳᠦᠰᠦᠨ ᠵᠠᠷᠴᠢᠮ ᠊ᠤᠳ хуудасны эх кодыг харах

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ᠻᠸᠠᠨᠲ ᠮᠧᠻᠠᠨᠢᠭ ᠨᠢ ᠻᠸᠠᠨᠲ ᠲᠦᠪᠰᠢᠨ ᠳᠦ ᠪᠣᠳᠠᠰ ᠪᠠ ᠡᠨᠧᠷᠭᠢ ᠶᠢᠨ ᠵᠦᠢ ᠲᠣᠭᠲᠠᠯ ᠢ ᠰᠤᠳᠤᠯᠳᠠᠭ ᠹᠢᠽᠢᠻ ᠦᠨ ᠦᠨᠳᠦᠰᠦᠨ ᠣᠨᠣᠯ ᠶᠤᠮ᠃ ᠻᠸᠠᠨᠲ ᠲᠦᠪᠰᠢᠨ ᠭᠡᠳᠡᠭ ᠲᠦ ᠠᠲ᠋ᠣᠮ ᠪᠣᠯᠤᠨ ᠠᠲ᠋ᠣᠮ ᠠᠴᠠ ᠳᠣᠭᠣᠭᠰᠢᠬᠢ ᠡᠷᠢᠮᠪᠡ ᠶᠢᠨ ᠪᠥᠭᠡᠮᠰ᠂ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮᠰ ᠢ ᠣᠶ᠋᠋ᠢᠯᠠᠭᠠᠨ᠎ᠠ᠃
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=ᠦᠨᠳᠦᠰᠦᠨ ᠵᠠᠷᠴᠢᠮ ᠤᠳ=
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|style = "height: 100px;"|ᠬᠣᠣᠰ ᠵᠠᠪᠰᠠᠷ ᠶ᠋᠋ᠢᠠᠷ ᠡᠯᠧᠻᠲ᠋ᠷᠣᠨ ᠤ ᠤᠷᠤᠰᠬᠠᠯ ᠢ ᠨᠡᠪᠲᠡᠷᠡᠭᠦᠯᠦᠭᠰᠡᠨ ᠲᠤᠷᠰᠢᠯᠲᠠ᠃
ᠬᠣᠣᠰ ᠵᠠᠪᠰᠠᠷ ᠶ᠋᠋ᠢᠠᠷ ᠭᠠᠷᠤᠭᠰᠠᠨ ᠡᠯᠧᠻᠲ᠋ᠷᠣᠨ ᠨᠤᠭᠤᠳ ᠢᠯᠡᠷᠡᠭᠦᠯᠬᠦ ᠳᠡᠯᠭᠡᠴᠡ ᠳᠦ ᠲᠤᠰᠠᠭᠰᠠᠨ ᠨᠢᠭᠲᠠᠰᠢᠯ ᠨᠢ ᠳᠣᠯᠭᠢᠶᠠᠯᠢᠭ ᠴᠢᠨᠠᠷ ᠢ ᠢᠯᠡᠳᠬᠡᠨ᠎ᠡ᠃
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[[Квант механик|ᠻᠸᠠᠨᠲ ᠮᠧᠬᠠᠨᠢᠭ]] ᠨᠢ ᠳᠠᠷᠠᠭᠠᠬᠢ ᠦᠨᠳᠦᠰᠦᠨ ᠪᠠᠷᠢᠮᠲᠠᠯᠠᠯ ᠤᠳ ᠢ ᠠᠭᠤᠯᠠᠳᠠᠭ᠄


1᠃ ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠳᠣᠯᠭᠢᠶᠠᠯᠢᠭ ᠴᠢᠨᠠᠷ᠄ 

ᠡᠯᠧᠻᠲ᠋ᠷᠣᠨ᠂ ᠹᠣᠲ᠋ᠣᠨ ᠭᠡᠬᠦ ᠵᠡᠷᠭᠡ ᠪᠥᠭᠡᠮᠰ ᠲᠦ [[Цахилгаан соронзон долгионы хуваарь|ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ]] ᠪᠣᠯᠤᠨ ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠬᠣᠶᠠᠭᠤᠯᠠ ᠠᠵᠢᠭᠯᠠᠭᠳᠠᠳᠠᠭ᠃ ᠪᠥᠭᠡᠮᠰ ᠢ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨᠻᠼ ᠢᠢᠡᠷ ᠳᠦᠷᠰᠦᠯᠡᠵᠦ ᠪᠣᠯᠬᠤ ᠪᠠ ᠡᠨᠡᠬᠦ ᠹᠦᠨᠻᠼ ᠨᠢ ᠲᠤᠬᠠᠢ ᠶᠢᠨ ᠪᠥᠭᠡᠮ ᠲᠣᠳᠣᠷᠬᠠᠢ ᠪᠠᠶ᠋᠋ᠢᠷᠢᠰᠢᠯ ᠳᠤ ᠣᠯᠳᠠᠬᠤ ᠮᠠᠭᠠᠳᠯᠠᠯ ᠢ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋᠋ᠢᠯᠠᠳᠠᠭ᠃<ref>C.R.Nave. Wave-Particle Duality. HyperPhysics 2016. Department of Physics and Astronomy. Georgia State University. http://hyperphysics.phy-astr.gsu.edu/hbase/mod1.html</ref>
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2᠃ [[ᠲᠣᠳᠤᠷᠬᠠᠢ ᠦᠭᠡᠢ ᠢᠢᠨ ᠵᠠᠷᠴᠢᠮ|ᠲᠣᠳᠣᠷᠬᠠᠢ ᠦᠭᠡᠢ ᠶᠢᠨ ᠵᠠᠷᠴᠢᠮ]]᠄ 

ᠪᠥᠭᠡᠮ ᠦᠨ ᠪᠠᠶ᠋᠋ᠢᠷᠢᠯᠠᠯ ᠪᠠ ᠢᠮᠫᠦ᠋ᠯᠰ ᠢ ᠨᠢᠭᠡᠨ ᠵᠡᠷᠭᠡ ᠨᠠᠷᠢᠨ ᠲᠣᠳᠣᠷᠬᠠᠶ᠋ᠢᠯᠠᠬᠤ ᠪᠣᠯᠤᠮᠵᠢ ᠦᠭᠡᠢ᠃ ᠤᠴᠢᠷ ᠨᠢ ᠪᠥᠭᠡᠮ ᠦᠨ ᠪᠠᠶ᠋᠋ᠢᠷᠢᠯᠠᠯ ᠢ ᠬᠡᠮᠵᠢᠬᠦ ᠨᠢ ᠲᠡᠭᠦᠨ ᠦ ᠢᠮᠫᠦ᠋ᠯᠰ ᠢ ᠦᠢᠮᠡᠴᠡᠭᠦᠯᠳᠡᠭ ᠪᠠ ᠢᠮᠫᠦ᠋ᠯᠰ ᠢ ᠬᠡᠮᠵᠢᠭᠰᠡᠨ ᠶ᠋᠋ᠢᠡᠷ ᠪᠠᠶ᠋᠋ᠢᠷᠢᠰᠢᠯ ᠢ ᠨᠢ ᠪᠤᠰᠠᠨᠢᠭᠤᠯᠳᠠᠭ᠃ ᠡᠶ᠋᠋ᠢᠨᠬᠦᠦ ᠬᠡᠮᠵᠢᠯᠲᠡ ᠶᠢᠨ ᠨᠠᠷᠢᠪᠴᠢᠯᠠᠯ ᠬᠢᠵᠠᠭᠠᠷᠯᠠᠭᠳᠠᠵᠤ ᠪᠠᠶ᠋᠋ᠢᠭ᠎ᠠ ᠨᠢ ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠳᠣᠯᠭᠢᠶᠠᠯᠢᠭ ᠴᠢᠨᠠᠷ᠂ ᠬᠠᠶ᠋᠋ᠢᠽᠧᠨᠪᠧᠷᠭᠢ ᠶᠢᠨ<sup>Heisenberg</sup> ᠲᠣᠳᠣᠷᠬᠠᠢ ᠦᠭᠡᠢ ᠶᠢᠨ ᠵᠠᠷᠴᠢᠮ ᠶ᠋᠋ᠢᠠᠷ ᠨᠥᠬᠦᠴᠡᠯᠳᠦᠳᠡᠭ᠃<ref>Jan Hilgevoord, Jos Uffink. The Uncertainty Principle. The Stanford Encyclopedia of Philosophy 2016.  https://plato.stanford.edu/entries/qt-uncertainty/</ref>
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3᠃ ᠳᠠᠪᠬᠤᠴᠠᠯ᠄ 

ᠪᠥᠭᠡᠮ ᠨᠢ ᠨᠢᠭᠡᠨ ᠵᠡᠷᠭᠡ ᠥᠭᠡᠷ᠎ᠡ ᠥᠭᠡᠷ᠎ᠡ ᠮᠠᠭᠠᠳᠯᠠᠯ ᠲᠠᠢ ᠣᠯᠠᠨ ᠥᠭᠡᠷ᠎ᠡ ᠲᠥᠯᠦᠪ ᠲᠦ ᠣᠷᠣᠰᠢᠵᠤ ᠪᠣᠯᠤᠨ᠎ᠠ᠂ ᠡᠭᠦᠨ ᠢ ᠳᠠᠪᠬᠤᠴᠠᠯ ᠭᠡᠵᠦ ᠨᠡᠷᠡᠯᠡᠳᠡᠭ᠃ ᠵᠢᠱᠢᠶᠡᠯᠡᠪᠡᠯ᠂ ᠡᠯᠧᠻᠲ᠋ᠷᠣᠨ ᠨᠢ ᠳᠡᠭᠡᠭᠰᠢ ᠪᠠ ᠳᠣᠭᠣᠭᠰᠢ ᠰᠫᠢᠨ ᠪᠦᠬᠦᠢ ᠲᠥᠯᠥᠪ ᠦᠳ ᠦᠨ ᠳᠠᠪᠬᠤᠴᠠᠯ ᠳᠤ ᠣᠷᠣᠰᠢᠵᠤ ᠪᠣᠯᠤᠨ᠎ᠠ᠃ ᠡᠨᠡ ᠨᠢ ᠻᠸᠠᠨᠲ ᠮᠧᠬᠠᠨᠢᠭ ᠰᠣᠩᠭᠣᠳᠠᠭ ᠮᠧᠬᠠᠨᠢᠭ ᠠᠴᠠ ᠢᠯᠭᠠᠭ᠎ᠠ ᠲᠠᠢ ᠪᠠᠰᠠ ᠨᠢᠭᠡ ᠦᠨᠳᠦᠰᠦᠨ ᠢᠯᠭᠠᠭ᠎ᠠ ᠶᠤᠮ᠃<ref name=":0">Introduction to Quantum Computing: Superposition and Entanglement. Quantum Enspire ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2023/06/19. quantum-inspire.com/kbase/superposition-and-entanglement/</ref>
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4. [[ᠻᠸᠠᠨ᠍ᠲ ᠰᠦᠯᠡᠯᠳᠦᠭᠡᠨ|ᠣᠷᠢᠶᠠᠴᠠᠯᠳᠤᠭᠠᠨ]]᠄ 

ᠬᠣᠶᠠᠷ ᠪᠠ ᠲᠡᠭᠦᠨ ᠡᠴᠡ ᠳᠡᠭᠡᠭᠰᠢ ᠪᠥᠭᠡᠮᠰ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠻᠸᠠᠨᠲ ᠣᠷᠢᠶᠠᠴᠠᠯᠳᠤᠭᠠᠨ ᠳᠤ ᠣᠷᠣᠰᠢᠵᠤ ᠪᠣᠯᠬᠤ ᠪᠥᠭᠡᠳ ᠡᠨᠡ ᠨᠢ ᠲᠡᠳᠡᠭᠡᠷ ᠦᠨ ᠰᠢᠨᠵᠢ ᠴᠢᠨᠠᠷ ᠨᠢ ᠬᠠᠷᠢᠯᠴᠠᠨ ᠬᠠᠮᠢᠶᠠᠷᠤᠯᠲᠠᠢ ᠭᠡᠰᠡᠨ ᠦᠭᠡ ᠶᠤᠮ᠃ ᠣᠷᠢᠶᠠᠴᠠᠯᠳᠤᠭᠠᠨ ᠳ᠋ᠠᠬᠢ ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠨᠢᠭᠡ ᠶᠢᠨ ᠨᠢ ᠦᠵᠡᠭᠦᠯᠦᠯᠲᠡ ᠶᠢ ᠬᠡᠮᠵᠢᠬᠦ ᠳᠦ ᠬᠣᠭᠣᠷᠣᠨᠳᠣ ᠶᠢᠨ ᠵᠠᠢ ᠠᠴᠠ ᠦᠯᠦ ᠬᠠᠮᠢᠶᠠᠷᠤᠨ ᠨᠥᠭᠥᠭᠡ ᠪᠥᠭᠡᠮ ᠦᠨ ᠦᠵᠡᠭᠦᠯᠦᠯᠲᠡ ᠳᠦ ᠭᠱᠠᠨ ᠵᠠᠭᠤᠷ᠎ᠠ ᠨᠥᠯᠦᠭᠡᠯᠡᠵᠦ ᠪᠣᠯᠤᠨ᠎ᠠ᠃<ref name=":0" />
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5᠃ ᠻᠸᠠᠨ᠍ᠲ᠋ᠴᠢᠯᠠᠯ᠄ 

ᠡᠨᠧᠷᠭᠢ ᠶᠢᠨ ᠲᠦᠪᠰᠢᠨ ᠭᠡᠬᠦ ᠵᠡᠷᠭᠡ ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠲᠣᠳᠣᠷᠬᠠᠢ ᠴᠢᠨᠠᠷ ᠤᠳ ᠨᠢ ᠵᠥᠪᠬᠡᠨ ᠱᠠᠲᠤᠯᠠᠯᠲᠠ ᠪᠤᠶᠤ ᠪᠠᠭᠴᠠ ᠤᠳᠬ᠎ᠠ ᠶᠢ ᠠᠪᠴᠤ ᠪᠣᠯᠤᠨ᠎ᠠ᠃ ᠲᠤᠬᠠᠶᠢᠯᠠᠪᠠᠯ ᠭᠡᠷᠡᠯ ᠦᠨ ᠹᠣᠲ᠋ᠣᠨ ᠭᠡᠳᠡᠭ ᠰᠠᠯᠤᠩᠭᠢᠳᠠ ᠪᠠᠭᠴᠠ ᠨᠤᠭᠤᠳ ᠲᠤ ᠢᠯᠭᠠᠷᠠᠬᠤ᠂ ᠰᠢᠩᠭᠡᠭᠡᠭᠳᠡᠬᠦ ᠭᠡᠬᠦ ᠮᠡᠲᠦ ᠦᠵᠡᠭᠳᠡᠯ ᠦᠳ ᠶ᠋ᠶ᠋᠋ᠡᠷ ᠢᠯᠡᠷᠡᠳᠡᠭ᠃

ᠻᠸᠠᠨᠲ ᠤᠨ ᠰᠢᠰᠲ᠋ᠧᠮ ᠦᠨ ᠶᠠᠪᠤᠴᠠ ᠶᠢ ᠱᠷᠥᠳᠢᠩᠭᠧᠷ ᠦᠨ<sup>Schrödinger</sup> ᠲᠡᠭᠰᠢᠳᠬᠡᠯ ᠶ᠋ᠶ᠋᠋ᠡᠷ ᠳᠦᠷᠰᠦᠯᠡᠳᠡᠭ ᠪᠥᠭᠡᠳ ᠡᠨᠡ ᠨᠢ ᠳᠣᠯᠭᠢᠶᠠᠨ ᠤ ᠹᠦᠨᠻᠼ ᠦᠨ ᠬᠤᠪᠢᠰᠤᠯ ᠢ ᠴᠠᠭ ᠬᠤᠭᠤᠴᠠᠭᠠᠨ ᠤ ᠬᠠᠮᠢᠶᠠᠷᠤᠯ ᠶ᠋᠋ᠢᠠᠷ ᠳᠦᠷᠰᠦᠯᠡᠳᠡᠭ᠃


ᠻᠸᠠᠨᠲ ᠮᠧᠬᠠᠨᠢᠭ ᠨᠢ [[ᠻᠸᠠᠨ᠍ᠲ ᠤᠨ ᠲᠣᠭᠠᠴᠠᠯᠠᠯ|ᠻᠸᠠᠨᠲ ᠲᠣᠭᠠᠴᠠᠭᠠᠯᠠᠯ]]᠂ ᠻᠷᠢᠫᠲ᠋ᠣᠭ᠌ᠷᠠᠹ᠂ ᠮᠠᠲ᠋ᠧᠷᠢᠶᠠᠯ ᠰᠤᠳᠤᠯᠤᠯ ᠭᠡᠬᠦ ᠵᠡᠷᠭᠡ ᠰᠢᠨᠵᠢᠯᠡᠬᠦ ᠤᠬᠠᠭᠠᠨ᠂ ᠲᠧᠭᠨᠣᠯᠣᠭᠢ ᠶᠢᠨ ᠥᠷᠭᠡᠨ ᠬᠦᠷᠢᠶᠡᠨ ᠦ ᠬᠡᠷᠡᠭᠯᠡᠭᠡᠨ ᠳᠦ ᠵᠠᠶ᠋᠋ᠢᠯᠠᠰᠢ ᠦᠭᠡᠢ ᠱᠠᠭᠠᠷᠳᠠᠯᠭ᠎ᠠ ᠲᠠᠢ ᠻᠸᠠᠨᠲ ᠲᠦᠪᠰᠢᠨ ᠳᠦ ᠮᠠᠲ᠋ᠧᠷᠢ ᠪᠠ ᠡᠨᠧᠷᠭᠢ ᠶᠢᠨ ᠵᠠᠩ ᠲᠥᠯᠦᠪ ᠢ ᠣᠶ᠋᠋ᠢᠯᠠᠭᠠᠬᠤ ᠬᠦᠷᠢᠶ᠎ᠡ ᠶᠢ ᠪᠦᠷᠢᠳᠦᠭᠦᠯᠳᠡᠭ᠃<ref>OpenStax. College Physics. University of Hawaii OER ᠬᠠᠨᠳᠤᠭᠰᠠᠨ 2023/06/20. https://pressbooks-dev.oer.hawaii.edu/collegephysics/chapter/29-1-quantization-of-energy/</ref>
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=ᠨᠡᠷ ‍ᠡ᠋ ᠲᠣᠮᠢᠶᠠᠯᠠᠯ=

ᠻᠸᠠᠨ᠍ᠲ - quantum

ᠡᠭᠡᠯ ᠪᠥᠭᠡᠮ - elementary/fundamental particle

ᠳᠣᠯᠭᠢᠶᠠᠨ - wave

ᠪᠥᠭᠡᠮᠰ ᠦᠨ ᠳᠣᠯᠭᠢᠶᠠᠯᠢᠭ ᠴᠢᠨᠠᠷ - wave-particle duality

ᠲᠣᠳᠣᠷᠬᠠᠢ ᠦᠭᠡᠢ ᠶᠢᠨ ᠵᠠᠷᠴᠢᠮ - uncertainty principle

ᠳᠠᠪᠬᠤᠴᠠᠯ - superposition<br>ᠣᠷᠢᠶᠠᠴᠠᠯᠳᠤᠭᠠᠨ - entanglement

ᠻᠸᠠᠨ᠍ᠲ᠋ᠴᠢᠯᠠᠯ - quantization<br>
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=ᠡᠬᠢ ᠰᠤᠷᠪᠤᠯᠵᠢ=
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