Puas yog Hamiltonian commute nrog angular momentum?
Puas yog Hamiltonian commute nrog angular momentum?

Video: Puas yog Hamiltonian commute nrog angular momentum?

Video: Puas yog Hamiltonian commute nrog angular momentum?
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Thaum ib tug particle nyob rau hauv tus ntawm lub hauv paus (symmetrical) muaj peev xwm, ces L kev mus los nrog lub zog muaj zog V(r). Yog L kev mus los nrog Hamiltonian tus neeg teb xov tooj (kinetic zog ntxiv rau lub zog muaj peev xwm) ces tus angularmomentum thiab lub zog tuaj yeem paub ib txhij.

Ua li no, puas angular momentum commute nrog momentum?

Cov angular zog cov neeg ua haujlwm ua tsis yog kev mus los , tab sis nws tseem ua tau rau cov angularmomentum kom zero nyob rau hauv tag nrho peb cov lus qhia. Tab sis sai li sai tau angular zog nyob rau hauv txhua qhov kev taw qhia yog nonzero, tsuas yog ib qho ntawm angular zog tuaj yeem muaj qhov tseeb.

Ib yam li ntawd, angular momentum nyob rau hauv quantum mechanics yog dab tsi? Cov angular zog tus neeg teb xov tooj ua lub luag haujlwm tseem ceeb hauv txoj kev xav ntawm atomic physics thiab lwm yam quantum teeb meem nrog kev hloov symmetry. Hauv ob qho tib si classicaland quantum mechanical systems, angular zog (ua ke nrog linear lub zog thiab lub zog) yog ib qho ntawm peb qhov tseem ceeb ntawm kev txav.

Yog li ntawd, puas spin thiab angular momentum commute?

jeblack3 hais tias: Kov tsis yog tus angularmomentum ntawm ib tug particle. Tag nrho angular zog ntawm aparticle yog kiv ntxiv rau orbital angular zog . Theorbital feem tsis yog kev mus los nrog lub zog , mas kiv tiv thaiv ua.

Puas yog angular momentum neeg teb xov tooj Hermitian?

Angular Momentum Operators . Ntxiv mus, muab qhov ntawd thiab cov yog Cov neeg ua haujlwm Hermitian , nws yog yooj yim pom tias cov kuj Hermitian . Qhov no yog qhov tseem ceeb, txij li tsuas yog Cov neeg ua haujlwm Hermitian tuaj yeem sawv cev rau lub cev hloov pauv inquantum mechanics (saib Sect. 4.6).

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