A particle of mass m and fixed total energy E, where 0 < E < U...

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A particle of mass m and fixed total energy E, where 0 < E < U is placed in the one- dimensional potential well pictured in Fig. P2.6. 00 U Uo a x Figure P2.6 (a) Write down the simplified form of Sehrodinger's equation appropriate for the various spatial regions. (b) Indicate the general solutions to your part (a) equations. (c) List the boundary conditions appropriate for the given problem. (d) Establish the simultaneous equations that result by applying the part (c) boundary conditions. (e) Obtain the equation that must be solved to determine the allowed particle energies. A particle of mass m and fixed total energy E, where 0 < E < U is placed in the one- dimensional potential well pictured in Fig. P2.6. 00 U Uo a x Figure P2.6 (a) Write down the simplified form of Sehrodinger's equation appropriate for the various spatial regions. (b) Indicate the general solutions to your part (a) equations. (c) List the boundary conditions appropriate for the given problem. (d) Establish the simultaneous equations that result by applying the part (c) boundary conditions. (e) Obtain the equation that must be solved to determine the allowed particle energies.