(a) A particle in a box has wave function shy Iuml (x, t) Iuml 2 (x)e iE2t , where Iuml n and E n are given by Eqs (40 35) and (40 31), respectively If the energy of the particle is measured, what is the result (b) If instead the particle has wave function Iuml (x, t) (1 2)( Iuml 1 (x)e iE1t Iuml 2 (x)e iE2t ) and the energy of the particle is measured, what is the result (c) If we had many identical particles with the wave function of part (b) and measured the energy of each, what would be the average value of all of the measurements Can we say that, before the measurement was made, each particle had this average energy Explain Eq 40 31 Eq 40 35 Magnitude of Planck's Planck's constant divided by 27 Energy levels for a particle momentum constant nh Pn 8mL 2m nmh 2mL En (n 1, 2, 3, ) in a box Quantum number Particle's mass Width of box Quantum number Stationary state wave functions for a particle in a box 2 (x) h, Vn(x) (n 1, 2, 3, ) sin Width of box

Question

(a) A particle in a box has wave function  shy  Iuml (x, t)    Iuml  2 (x)e  iE2t  , where  Iuml  n and E n are given by Eqs  (40 35) and (40 31), respectively  If the energy of the particle is measured, what is the result  (b) If instead the particle has wave function  Iuml (x, t)   (1 2)( Iuml  1 (x)e  iE1t     Iuml  2 (x)e  iE2t ) and the energy of the particle is measured, what is the result  (c) If we had many identical particles with the wave function of part (b) and measured the energy of each, what would be the average value of all of the measurements  Can we say that, before the measurement was made, each particle had this average energy  Explain  Eq 40 31 Eq 40 35 Magnitude of Planck's Planck's constant divided by 27 Energy levels  for a particle momentum constant nh  Pn 8mL  2m nmh  2mL  En   (n   1, 2, 3,    ) in a box Quantum number Particle's mass Width of box Quantum number Stationary state wave functions for a particle in a box 2 (x) h,  Vn(x) (n   1, 2, 3,       ) sin Width of box

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If the wave funciton is a measurement of the energy yields the value If the wave functio...

Question: (a) A particle in a box has wave function Ï(x, t) = Ï 2 (x)e -iE2t/ , where Ï n and E n are given

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Question: (a) A particle in a box has wave function ­Ï(x, t) = Ï 2 (x)e -iE2t/ , where Ï n and E n are given

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Question: (a) A particle in a box has wave function Ï(x, t) = Ï 2 (x)e -iE2t/ , where Ï n and E n are given