Answer to Question #277481 in Quantum Mechanics for Jelko

Question #277481

Statistical physics I (chapter 3)




Consider a system which consists of two subsystems A and A’ which can interact to a small extent and thus exchange energy with each other. System A consists three spins, each having a magnetic moment . System A’ consists of two spins , each having a magnetic moment 2 . Suppose that, when the systems A and A’ are initially separated from each other, measurements show the total magnetic moment of A to be and the total magnetic moment of A’ to be . The systems are now placed in thermal contact with each other and are allowed to exchange energy until the final equilibrium situation has been reached. Under these conditions calculate:




The probability p(M) that the total magnetic moment of A assumes any one of its possible values M.




The mean value of the total magnetic moment of A.




Suppose that the systems are now again separated so that they are no longer free to exchange energy with each other. What are the values of p(M) and of the system A after this separation?

1
Expert's answer
2021-12-13T11:13:53-0500
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