aplikasi persamaan schrodinger

APLIKASI PERSAMAAN SCHRODINGER NILA MUNA INTANA (4201413076) MIDHYA WIDHYASTUTI (4201413097)

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PERSAMAAN SCHRODINGER

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Persamaan Schrodinger merupakan fungsi gelomang !ang digunakan un"uk memerikan informasi "en"ang perilaku gelomang dari par"ikel#

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PERSAMAAN SCHRODINGER

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Persamaan Schrodinger $ergan"ung %ak"u

&e"erangan '' Ruas kiri adalah fungsi (# Ruas kanan adalah fungsi "# )men!a"akan kesamaan fungsi*  Ar"i fisis' Suku kedua adalah energi po"ensial# Sehingga+

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PERSAMAAN SCHRODINGER

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Persamaan Schrodinger -ak $ergan"ung %ak"u

&e"erangan '' .ak"or dalam kurung di ruas kiri "idak lain men!a"akan opera"or hamil"onan sis"em+ !ai"u opera"or !ang me/akili  ,umlahan energi kine"ik )suku per"ama* dan energi

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PERSAMAAN SCHRODINGER

 Aplikasi  Aplikasi Persamaan Schrodinger Schrodinger '' Par"ikel

dalam &o"ak

Po"ensial

0ndakan

-anggul

Po"ensial

Osila"or

Harmonik

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PARTIKEL DALAM KOTAK 

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PAR-I&E1 DA1AM &O-A&

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Seuah par"ikel !ang eas ergerak sa"u dimensi namun dia"asi dua dinding !ang "erpisah se,auh 1 dikenal dengan is"ilah 2par"ikel di dalam ko"ak2#

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PAR-I&E1 DA1AM &O-A&

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Penurunan Persamaan Ma"ema"is Par"ikel dalam &o"ak

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PAR-I&E1 DA1AM &O-A&

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Penurunan Persamaan Ma"ema"is Par"ikel dalam &o"ak

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.lu( dari gelomang da"ang .lu( gelomang da"ang akan diagi men,adi flu( gelomang "erpan"ul

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&oefisien Refleksi

&oefisien -ransmisi -ransmisi

Perandingan an"ara flu( arus "erefleksi dan flu( arus da"ang#

Perandingan an"ara flu( arus "er"ransmisi dan flu( arus da"ang#

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umlah &oefisien refleksi dan "ransmisi harus sama dengan >

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Po"ensial 0ndakan ) E=3*

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Secara &lasik '

ika E=3 + maka semua par"ikel akan "erpan"ulkan# Secara &uan"um'

Meski po"ensial penghalang leih esar daripada energi elek"ron+ menuru" "eori kuan"um elek"ron masih memiliki peluang un"uk isa lolos

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0n"uk daerah I ' (=7 dan 347

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0n"uk daerah II ' (7 dan 343

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0n"uk menghi"ung koefisien refleksi dan koefisien "ransmisi ' &oefisien refleksi

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E=3

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PO-ENSIA1 -ANGG01

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Saa" )E 3* 0n"uk menge"ahui nilai efek "roosan seuah par"ikel+ maka ki"a mene"ukan peluang gelomang "ransmisi di daerah II#

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PO-ENSIA1 -ANGG01 Saa" )E 3* Saa" ( 4 7+ peluang gelomang "ransmisin!a adalah

Saa" ( 4 1+ peluang gelomang "ransmisin!a adalah

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PO-ENSIA1 -ANGG01

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Saa" )E 3* Saa" ( 4 7+ peluang gelomang "ransmisin!a adalah perandingan proaili"as P di ( 4 1 dan di ( 4 7+

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PO-ENSIA1 -ANGG01 Saa" )E 3*

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