Physics, 10.07.2019 18:30, marivi3cazares

(b) write down all the quantum numbers for the 1sa and the 2pzß state of the h atom. (c) for the h atom, the operators a, 12, and l for their eigenfunctions. commute. explain what this mean (d) write down the wavefunction for the 1sa state in product form

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Physics, 02.07.2019 20:30, babbiegirl8035

Ahydrogen atom, whose normalized stationary state is described by inlm), where n is the main quantum number and l and m is the quantum numbers belonging to l and lz: nim as usual the following operators is introduced here we neglect spin and fine structure a hydrogen atom is descripted by the normalized wave function b) (|210) + |211)) find the mean of lz in the state 14). account for the fact, that around the standard deviations on the observables lx and ly the following must be the case 1.

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Physics, 11.07.2019 00:20, raylener5841

projection operators (20 points) consider a hilbert space spanned by a basis or orthonormal state in) labeled by one discrete quantum number n. the states [n) are the eigenstates of some operator o, and n labels the various eigenvalues oln) λη1n). (for example, if 0 were the hamiltonian, the λn would be the energies. ) for each n we define the projection operator onto the state n) as thus, there is a different pn for each state n (a). demonstrate that p is hermitian, and that p2 -p, (b). what is the result of p,1 acting on an arbitrary state |切ーσrncrnlm)? explain why the name "projection operator" is justified. if there are n distinct values of n, all operators can be represented by n × n matrices. what does pa look like in this matrix representation? /1/㈣pale) is prop- (c). in general, pale) is not normalized. show that pn erly normalized (d). how are the number (ppalp) and the state palu)/v(蛚pal related to the result of making a measurement of o? relate them to the postulates of quantum mechanics now consider a system where the hilbert space is labeled by more than one quantum number: the hydrogen atom, with states [nlm) labeled by n, l, and m. the projection operator associated with just a given value of n now has a sum over all values of the other quantum numbers, in the following, consider the particular hydrogen atom wave function, 5) (1210) + v21200) | 100) = (e). consider a measurement of energy. which values of n might be observed? write down the projection operators associated with each possible result, and use them to calculate the probabilities of each outcome and the result of the collapse of the wave function. do these results agree with what you would have expected? (f). if you were instead to make a measurement of lz, how would you define the projection operator(s) you need? repeat the calculation of (e) for this case

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Chemistry, 01.10.2019 22:30, genyjoannerubiera

Chuck wants to know how many electrons in an atom are not paired up. which model would be best for chuck to write out? a set of quantum numbers for the last electron in the atom a configuration with numbers, letters, and superscripts a dot structure of the atom an orbital notation of the atom

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Physics, 04.10.2019 21:00, bigblow

Ahydrogen atom emits a photon of energy 1.89 ev- ry,where ry 13.6 ev, and 36 ends up in a 2p state(n=2, 1-1). what are the possible states the atom could have been in before it emitted the photon? (when an atom emits a photon, the value of l for the atomic state changes by t1.) you can use the traditional names for the states (such as 2p) or you can label them by their quantum numbers n and i. for each state on your list, state its degeneracy. b) in the copenhagen interpretation of quantum mechanics, quantum measurements correspond to what we call "strong measurements" in modern terminology. after a measurement is made, the quantum system supposedly "collapses" into the eigenstate of the measurement operator corresponding to the measured eigenvalue. a physicist measures the energy of the hydrogen atom in part (a) to confirm that the atom is in a 2p state with energy -ry/4, then he measures the z-component of angular momentum, l., and obtains the result -h. after that his colleague measures the atom's energy again. what are the possible results she will get, and with what probabilities? explain how you got your answer. you may assume that the atom does not emit or absorb a photon during the experiment.

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(b) write down all the quantum numbers for the 1sa and the 2pzß state of the h atom. (c) for the h a...

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