[ Romaji ]
nareta ryu-shi o nami to mite riaru to ikiki suru ryo-shi rikigaku
koten rikigaku ja, ichi(x)・undo-ryo-(p) do-ji ni kakutei dekita ga
ryo-shi sekai wa do-ji ja fukakutei ΔxΔp＞h/2 sarani hikakan kankei yue 〔x,p〕=ih
undo-ryo-(p) o enzanshi(-ih∂/∂x) ni okikae ryu-shi o nami ni ryo-shika
tsubu wa nami kasane kakuritsu na fukuso-su・hado-kansuu Ψ(x,t)
sono jikan henka nyu-ton goe shure-dinga- ho-teishiki de toku
ih∂Ψ/∂t=HΨ
ichi ene, undo- ene o enzanshi(H) senkei ku-kan o haishaku
Ψ(hado-kansuu) o koyu- jo-tai(kitei) ni tenkai subeku hensu- bunri seyo
jikan ni yoranu koyu- ho-teishiki Hψn=Enψn(Ax=λx) to jikan inshi e^{-iEnt/h} de tenkai
Ψ(x,t)=Σcnψn(x)e^{-iEnt/h}
hikankan na Ψ(hado-kansuu) no kansho- to kakuritsu o su-ri ni tensha
sokutei sedo 「ichi x」no「enzanshi X」no koyu- bekutoru e no tenkai
koyu-chi(butsuriryo-) shiri kakuritsu mitsudo o keisu-(c) 2jo- shi uru no ga genkai
ni-ju- suritto tsu-ka suru hado-kansuu(Ψ) wa kasanari kakuritsu shinpaku ga kansho-
tsuyome yowameai no-tan ni
sukuri-n ni kansho-jima o nokosu mo kansoku de koyu- jo-tai ni shu-shuku
ryu-shi ga 1ten ni chakudan
sore wa kansokusha to motsureta Ψ(hado-kansuu) naibu de bunki shita eda no 1tsu de
hoka no eda to ikiwakareta kansho-ko-×kankyo-・dekohi-rensu
motsureau mono do-shi de tsukuru musu- no tasekai ni wakare
hado-kansuu(Ψ) no kyodai na ude no naka
ware ni kaeri kitaichi hoshi enerugi- koyu- jo-tai ni tenkai
「fukuso- kyoyaku ψ*(x,t)」×「enzanshi X」×「ψ(x,t)」o ichi dx de sekibun
＜X＞＝ψ*Xψdx
koten kido- undo- wa jikan inshi e^{-iEnt/h} kotonaru iso- sokudo kasanaru
hasoku no gun sokudo no susumi o so-shika shita sugata
bo-ru wa abogadoro su-(1cho-×1cho-) no Ψ(hado-kansuu) no shu-go- sono kansho-ko-
ku-ki bunshi to motsure daisu- no ho-soku de shitsuten ni shu-ren
jinrui wa tane o nokosu bungyo- no aima ni hibi no undo- dekarudo ga zahyo-ka
kyori÷jikan(t) de sokudo taitoku
ichi→sokudo→kasokudo t-bibun・daisu- kika shintai kankaku ni to-go
kitei sagashi senkei kinji ryo-shi no fukakuteisei to hikakan o nazori
jiku- kyokuritsu ni sekku-kan no jo-gi o ategai
oisugari chokkan ni hansuru butsuri o su-gaku no gengo de najimase
sono dainamizumu o chokkan seyo
