Question

i) Write the time-independent Scrödinger wave equation for helium (He) and H + 2 atoms.

ii) If interactions between electrons are ignored in these equations, find the energy of the system in terms of electronvolt (eV).

iii) Write the spin wave function of a system consisting of two electrons.

iv) Specify how the angular momentum of an electron is defined according to classical mechanics, bohr atomic theory, and quantum mechanics, and the values ​​it will take.

note: Please show all the steps and details carefully.

Answer 1

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Abblg separale sut hee nuclear part BO approimatiom elechr onHamiltbmiams int electsomie We 2 e 2 m 2m imsteuted electsom- elechrom tesm ummalion to electoom tamiltimian Single eleitson Single These ae hami ltimiam fo 2213.6 eV ** th&He, Sca med wast CS CamScanner

Spin function Wave Consider Then ttal i , S campernemt, hen S0 - ihem S The spim Junetians Way e d ) p(L) )P iplt S0,S2-6 Cs Scanned with CamScanner

Classical amech amics 2 Ingermltple 2TC Suanlum mechamics. tal + osbital angular value cam take inl (i: azimuthal quamtum munbro) Yalu buem -L t Cam take mentum sbim angular oiTzai amd hal intu alue mo cs Scanned with CamScanner