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Problem 1.5 - Normalization: Introduction to Quantum Mechanics
ะะพะบะฐะทะฐัั ะพะฟะธัะฐะฝะธะต
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โ ๐๐๐จ๐ฎ๐ญ ๐๐ก๐ข๐ฌ ๐๐ข๐๐๐จ โ
Let the wave-function fun begin!
โข ๐ฟ๐๐๐๐๐๐ ๐ฑ๐๐๐๐๐๐๐ ๐ ๐๐๐๐ ๐๐๐๐๐๐:
0:00 - Problem Statement & Background.
1:19 - Part (a) Normalize ฮจ(๐น,๐ต).
5:40 - Part (b) Position Expectation โจ๐นโฉ.
7:40 - Part (b) Position Squared Expectation โจ๐นยฒโฉ.
10:45 - Part (c) Position Standard Deviation ฯ.
13:25 - Probability Calculation.
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โ ๐๐ฎ๐ฉ๐ฉ๐จ๐ซ๐ญ ๐๐ก๐ข๐ฌ ๐๐ก๐๐ง๐ง๐๐ฅ โ
โข ๐ ๐๐ฎ๐ข๐ป๐ฐ๐ฏ ๐๐ฐ๐ฐ๐ฌ ๐๐ช๐ฏ๐ฌ๐ด ๐
โข โ๏ธ ๐๐ฎ๐ข๐ป๐ฐ๐ฏ ๐๐ฆ๐ข๐ณ ๐๐ช๐ฏ๐ฌ๐ด โ๏ธ
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โ ๐๐๐ญ'๐ฌ ๐๐จ๐ง๐ง๐๐๐ญ! โ
----------------------------------------------------
โ ๐๐ข๐ฌ๐ฌ๐ข๐จ๐ง โ
Science is a phenomenal exploration of nature. We hope to hone our skills of problem solving by exposing ourselves to multiple contexts. In doing so, it can sometimes be challenging to see the connection between topics. I yearn to understand ๐๐ค๐ฌ these aspects of physics, unite together. To accomplish this, I'll cover all of my old textbooks through QFT; the convergence point of the many modern scientists! These posts are very much in a "๐ฏ๐ฐ๐ต๐ฆ๐ด ๐ต๐ฐ ๐ด๐ฆ๐ญ๐ง" style. ๐๐ฎ ๐๐ค๐ฅ๐ is that by sharing this exploration, I can help others navigate the beautiful world of mathematics & physics through problems and examples, connecting the mathematical tools to their physical ramifications.
#Curiousaboutscience
โข Stay Curious & Happy Learning!
โข Share knowledge - tag a friend!
โข Subscribe for more!
โข Don't forget to turn on video notifications!
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โ ๐๐ซ๐๐๐ข๐ญ๐ฌ โ
โ โ ๐๐๐= Griffiths, David J., and Darrell F. Schroeter. โChapter 1 The Wave Function.โ ๐๐ฏ๐ต๐ณ๐ฐ๐ฅ๐ถ๐ค๐ต๐ช๐ฐ๐ฏ ๐ต๐ฐ ๐๐ถ๐ข๐ฏ๐ต๐ถ๐ฎ ๐๐ฆ๐ค๐ฉ๐ข๐ฏ๐ช๐ค๐ด, 3rd ed., Cambridge University Press, 2018, pp. 3โ24.
----------------------------------------------------
โ ๐๐๐จ๐ฎ๐ญ ๐๐ก๐ข๐ฌ ๐๐ข๐๐๐จ โ
Let the wave-function fun begin!
โข ๐ฟ๐๐๐๐๐๐ ๐ฑ๐๐๐๐๐๐๐ ๐ ๐๐๐๐ ๐๐๐๐๐๐:
0:00 - Problem Statement & Background.
1:19 - Part (a) Normalize ฮจ(๐น,๐ต).
5:40 - Part (b) Position Expectation โจ๐นโฉ.
7:40 - Part (b) Position Squared Expectation โจ๐นยฒโฉ.
10:45 - Part (c) Position Standard Deviation ฯ.
13:25 - Probability Calculation.
----------------------------------------------------
โ ๐๐ฎ๐ฉ๐ฉ๐จ๐ซ๐ญ ๐๐ก๐ข๐ฌ ๐๐ก๐๐ง๐ง๐๐ฅ โ
โข ๐ ๐๐ฎ๐ข๐ป๐ฐ๐ฏ ๐๐ฐ๐ฐ๐ฌ ๐๐ช๐ฏ๐ฌ๐ด ๐
โข โ๏ธ ๐๐ฎ๐ข๐ป๐ฐ๐ฏ ๐๐ฆ๐ข๐ณ ๐๐ช๐ฏ๐ฌ๐ด โ๏ธ
----------------------------------------------------
โ ๐๐๐ญ'๐ฌ ๐๐จ๐ง๐ง๐๐๐ญ! โ
----------------------------------------------------
โ ๐๐ข๐ฌ๐ฌ๐ข๐จ๐ง โ
Science is a phenomenal exploration of nature. We hope to hone our skills of problem solving by exposing ourselves to multiple contexts. In doing so, it can sometimes be challenging to see the connection between topics. I yearn to understand ๐๐ค๐ฌ these aspects of physics, unite together. To accomplish this, I'll cover all of my old textbooks through QFT; the convergence point of the many modern scientists! These posts are very much in a "๐ฏ๐ฐ๐ต๐ฆ๐ด ๐ต๐ฐ ๐ด๐ฆ๐ญ๐ง" style. ๐๐ฎ ๐๐ค๐ฅ๐ is that by sharing this exploration, I can help others navigate the beautiful world of mathematics & physics through problems and examples, connecting the mathematical tools to their physical ramifications.
#Curiousaboutscience
โข Stay Curious & Happy Learning!
โข Share knowledge - tag a friend!
โข Subscribe for more!
โข Don't forget to turn on video notifications!
----------------------------------------------------
โ ๐๐ซ๐๐๐ข๐ญ๐ฌ โ
โ โ ๐๐๐= Griffiths, David J., and Darrell F. Schroeter. โChapter 1 The Wave Function.โ ๐๐ฏ๐ต๐ณ๐ฐ๐ฅ๐ถ๐ค๐ต๐ช๐ฐ๐ฏ ๐ต๐ฐ ๐๐ถ๐ข๐ฏ๐ต๐ถ๐ฎ ๐๐ฆ๐ค๐ฉ๐ข๐ฏ๐ช๐ค๐ด, 3rd ed., Cambridge University Press, 2018, pp. 3โ24.
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Problem 1.5 - Normalization: Introduction to Quantum Mechanics
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