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sudipmaity
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Homework Statement
A system has 2 possible energy values E0 and 2E0. At a certain instant it is in a state in which the expectation value of the energy is 3/2 E0.Calculate the wave function in this state given that ψ0 , ψ1;are the wavefuntion corresponding to two possible stationary states.What is the wave function after a time t has elapsed?
Homework Equations
The Attempt at a Solution
<E>=∫ ψ*ψdτ=∫(c0ψ0 + c1ψ1)*Ê(c0ψ0 + c1ψ1)dτ
<E>=c02E0 + 2c12E0=3/2E0
Co^2 + 2C1^2=3/2.
Co=√2/3 and C1 =√4/3.so ψ =√2/3ψο +√4/3 ψ1.
But in the textbook given answer is 1/√2 (Ψο + ψ1). Where did I go wrong?also I can't figure out wavefuntion after t time elapse analytically.please help me out.
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