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)e iEit/h+ c292(x)e¯iE2t/h. where ci = 2icz and the real functions p1(x) and p2(r) have the following properties: vile)dz = ile)dz = 1, "0 = rp(x)T#(x)l& p1(x)92(x)dx% D0. Calculate: 1. Probabilities of measurement of energies E1 and E2 2. Expectation valuc of cnergy (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)e iEit/h+ c292(x)e¯iE2t/h.
where ci = 2icz and the real functions p1(x) and p2(r) have the following
properties:
vile)dz = ile)dz = 1,
"0 = rp(x)T#(x)l&
p1(x)92(x)dx% D0.
Calculate:
1. Probabilities of measurement of energies E1 and E2
2. Expectation valuc of cnergy (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)e iEit/h+ c292(x)e¯iE2t/h. where ci = 2icz and the real functions p1(x) and p2(r) have the following properties: vile)dz = ile)dz = 1, "0 = rp(x)T#(x)l& p1(x)92(x)dx% D0. Calculate: 1. Probabilities of measurement of energies E1 and E2 2. Expectation valuc of cnergy (E)
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