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**Unformatted text preview: **state (ground state), i.e. its wave function is given by ψ 1 ( x ) = r 2 L sin ± πx L ² (text p. 204-205, equations (6.18), (6.19) with n = 1). What is its wave function at a later time t ? (b) Suppose that at initial time t = 0 the particle is in the state described by the the wavefunction Ψ( x, 0) = A ψ 1 ( x ) + B ψ 3 ( x ) , where A , B are constants, i.e. a superposition of the ground state and the second excited level. (i) Is there any constraint on the constants A and B ? (ii) What is its wave function at a later time t ? (iii) Compute the probability of detecting the particle at a point x at time t . Is it t-dependent or t-independent? 1...

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