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Problem Set VII (Quantum Physics) 1. The Hamiltonian for an axially symmetric rotator is 213 where Ii and Is are the moments of inertin. (a) What are the eigenvalues of H? (Ans: where l 2m 2 -1...
Problem 3 The Hamiltonian of a rotator is given by where 11 and 13 are moments...
Problem 3 The Hamiltonian of a rotator is given by where 11 and 13 are moments of inertia, and Ly, Ly, and L, are the compo- nents of the orbital angular momentum operator. 1. Determine the eigenvalues of the Hamiltonian and their degeneracy in the two limits 11 = 13 and 11 > 13. 2. Sketch the energy spectrum in these two limits. 3. What is the energy spectrum in the limit 11 > 13? Problem 4 Consider the hermitian...
(3)Consider an atomic p-electron (-1) which is governed by the Hamiltonian H-Ho +Hl,where Ho=a L,.bhand H,-./2...
(3)Consider an atomic p-electron (-1) which is governed by the Hamiltonian H-Ho +Hl,where Ho=a L,.bhand H,-./2 where a,bandcare nonzero real numbers with a 굶b. (a) Determine the Hamiltonian in Matrix form for a basis | I,m > with 1-land ,n = 0,±1. You may use the formula (b)Treat H,as a perturbation of Ho. What are the energy eigenvalues and eigenfunctions of the unperturbed problem? (c)Assume as>lcl and bsslcl. Use perturbation theory to calculate eigenvalues of H to first non trivial...
1 Normal 1 No Spac H Paragraph HOW "FIT" IS YOUR DATA SET? Problem l: How...
1 Normal 1 No Spac H Paragraph HOW "FIT" IS YOUR DATA SET? Problem l: How random are your numbers? In this activity, find a friend, a family member or a class mate and ask them to give y 100 random digits (ranging from O to 9) from their head without the use of a calculat computer or a printed random table numbers. (3 4 4 2 1 64 8 9 078 6 555 etc) Then make a frequency table...
Problem 3 The Hamiltonian of a rotator is given by where 11 and 13 are moments of inertia, and Ly, Ly, and L, are the compo- nents of the orbital angular momentum operator. 1. Determine the eigenvalues of the Hamiltonian and their degeneracy in the two limits 11 = 13 and 11 > 13. 2. Sketch the energy spectrum in these two limits. 3. What is the energy spectrum in the limit 11 > 13? Problem 4 Consider the hermitian...
(3)Consider an atomic p-electron (-1) which is governed by the Hamiltonian H-Ho +Hl,where Ho=a L,.bhand H,-./2 where a,bandcare nonzero real numbers with a 굶b. (a) Determine the Hamiltonian in Matrix form for a basis | I,m > with 1-land ,n = 0,±1. You may use the formula (b)Treat H,as a perturbation of Ho. What are the energy eigenvalues and eigenfunctions of the unperturbed problem? (c)Assume as>lcl and bsslcl. Use perturbation theory to calculate eigenvalues of H to first non trivial...
1 Normal 1 No Spac H Paragraph HOW "FIT" IS YOUR DATA SET? Problem l: How random are your numbers? In this activity, find a friend, a family member or a class mate and ask them to give y 100 random digits (ranging from O to 9) from their head without the use of a calculat computer or a printed random table numbers. (3 4 4 2 1 64 8 9 078 6 555 etc) Then make a frequency table...
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