A quantum system is described by a wave function (r) being a superposition of two states with different energies E1 and E2: (x) = c191(r)eiEst/h + c2P2(x)e¬iEst/h. where ci 2ic2 and the real functions 91(x) and p2(æ) have the following properties: P3(x)dr = 1, I P1(x)2(x)dr = 0. Calculate: 1. Probabilities of measurement of energies E1 and E2 2. Expectation value of encrgy (E)

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A quantum system is described by a wave function (r) being
a superposition of two states with different energies E1 and E2:
(x) = c191(r)eiEst/h + c2P2(x)e¬iEst/h.
where ci 2ic2 and the real functions 91(x) and p2(æ) have the following
properties:
P3(x)dr = 1,
I P1(x)2(x)dr = 0.
Calculate:
1. Probabilities of measurement of energies E1 and E2
2. Expectation value of encrgy (E)
Transcribed Image Text:A quantum system is described by a wave function (r) being a superposition of two states with different energies E1 and E2: (x) = c191(r)eiEst/h + c2P2(x)e¬iEst/h. where ci 2ic2 and the real functions 91(x) and p2(æ) have the following properties: P3(x)dr = 1, I P1(x)2(x)dr = 0. Calculate: 1. Probabilities of measurement of energies E1 and E2 2. Expectation value of encrgy (E)
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