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 SEMESTER V SCILAB PRACTICAL

SEM: V


1. An electron trapped in a one-dimensional region of length 1.0 × 10-10 m (a) In the ground state, what is the probability of finding the electron in the region from = 0.0090 nm to 0.0110 nm? (b) In the first excited state, what is the probability of finding the electron between = 0 and = 0.025 nm.      CLICK


2. Find the value of <x> of a particle in the region x=0 to 6 nm in the ground state of one dimensional rigid box of length 12nm.  CLICK


3. In the ground state of an electron bound in a one-dimensional Coulomb potential energy, what is the probability to find the electron located between = 0 and a0. Take a= 2.    CLICK


4. For the = 2 states (= 0 and = 1), compare the probabilities of the electron being found inside the Bohr radius.      CLICK


5. To solve the s wave Schrodinger equation for the ground state & the first excited state of the hydrogen atom d2y/dx2=A(r)U(r); A(r)=8mPie2/h2[V(r)-E];V(r)=-e2/r, where is m is reduced mass of electron. Find the energy eigen value & plot the corresponding wave functions. Take ground state energy of hydrogen atom is -13.6eV, hc=12400eVA0 & m=0.511x106 eV/c2.   CLICK


6. To solve the s wave Schrodinger equation for the ground state & the first excited state of the hydrogen atom d2y/dx2=A(r)U(r); A(r)=8mPie2/h2[V(r)-E];V(r)=-e2/r * e^(-r/a), where is m is reduced mass of electron. Find the energy eigen value & plot the corresponding wave functions. Take ground state energy of hydrogen atom is -13.6eV, hc=12400eVA0 & m=0.511x106 eV/c2.     CLICK


7.  Solve the s-wave radial Schrodinger equation for a particle of mass, with the anharmonic potential v. find the GS & FES using scilab.   CLICK


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