Physics 128 Exam II Equation Sheet (April 1, 2005), Exams of Physics

Download Physics 128 Exam II Equation Sheet (April 1, 2005) and more Exams Physics in PDF only on Docsity! Phys 128 Equation Sheet Exam II (4/1/05) ev h me maa eEstategroundHydrogen em a SL m e BE U m p H t iE xi p dxtxOtxOdxtxxgtxxg drrRrdrrP dxtxtxdxxP h oeooo e o o B s B l e B 606.13 828 : 4 2 2 . 2 ˆˆ ),(ˆ),(),()(),()( )()( ),(),()( 2 22 4 2 22 1 2 2 2 ** 22 * ==== = −=−==−= += ∂ ∂ = ∂ ∂ = ΨΨ=〉〈ΨΨ=〉〈 = ΨΨ= = ∫∫ ∞ ∞− ∞ ∞− επε πε µ µ µ µµµ π h h hh h h)h) h       +−= ==== −      −−= −−= ++=      += −= +=−=+= ∫ ∫∫∫∫ ∫ ∫ +∞ −∞ −∞ −∞ − −− 2 22 1 0 3 0 22 00 23 22 2 2 2 4 2 22 !2 4 2cos 2sin 8 1 46 sin 8 2cos 4 2sin 4 sin 4cos 8 1 2cos 2 1 8 3 2 2cos1 )2cos1( 2 1 sin 2 cos 2 sinsincos aa xx a edxex andxexadxexadxxeadxe xx x xx xdxx xxxxx xdxx xx x xCos xx eex i eexxixe ax ax na x na x a x a x ixixixix ix