Consider the hydrogen atom consisting of an electron and a nucleus. a) The state of the hydrogen atom can be described u

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Consider The Hydrogen Atom Consisting Of An Electron And A Nucleus A The State Of The Hydrogen Atom Can Be Described U 1 (104.66 KiB) Viewed 13 times

Consider the hydrogen atom consisting of an electron and a nucleus. a) The state of the hydrogen atom can be described using the quantum num- bers n, l, and m. Describe the meaning of the quantum numbers n, 1, and m. What features of the hydrogen atom and its electron do they relate to? b) What are the energy levels of the hydrogen atom expressed in terms of the principal quantum number and the Rydberg energy? c) If I = 2, what is the lowest possible energy of the hydrogen atom in terms of the Rydberg energy? d) The effective potential of the hydrogen atom is given by: Ve(r) e? 1(1+1) 2mer2 4πέρι" Explain the type of interaction that is represented by the second term and why it has the form given. Explain, by analogy with classical mechanics, where the term 1(1+1)h2/2mera originates from. e) Minimise the effective potential with respect to r and show that the mini- mum is attained when: 4περ/h2 1(1+1) mee? T =