From Relativistic Quantum Mechanics and Field Theory (Franz Gross) Solve. 6.4
Posted: Wed May 18, 2022 5:03 pm
From Relativistic Quantum Mechanics and Field Theory (Franz
Gross) Solve. 6.4
= 6.4 A massless spinį particle moves in a one-dimensional scalar potential of the form V(z) = 0 -R <2<R == V z z<-R and R<z, where the constant V is large and positive. (a) Write down the correct Dirac equation for the motion of this particle. (b) Show that the equation found in part (a) is invariant under the parity transformation 2 → (c) Solve the equation for the ground state energy and wave function of the trapped particle. Take the limit Vo → 00, and sketch the solution for this case. Comment on any interesting features which the solution possesses. - 2.
Gross) Solve. 6.4
= 6.4 A massless spinį particle moves in a one-dimensional scalar potential of the form V(z) = 0 -R <2<R == V z z<-R and R<z, where the constant V is large and positive. (a) Write down the correct Dirac equation for the motion of this particle. (b) Show that the equation found in part (a) is invariant under the parity transformation 2 → (c) Solve the equation for the ground state energy and wave function of the trapped particle. Take the limit Vo → 00, and sketch the solution for this case. Comment on any interesting features which the solution possesses. - 2.