The wave function ψ 2 ( x ) = A 2 ( 2 a x 2 − 1 2 ) e − a x 2 is an orthogonal for the states n = 1 , 2 .

Question

Want to see the full answer?

Answer 1

Question

Chapter 35, Problem 26P

To determine

The wave function ψ2(x)=A2(2ax2−12)e−ax2 is an orthogonal for the states n=1,2 .

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Students have asked these similar questions

In a certain region of space, a particle is described by the wave function (x) = Cxe-bx where C and b are real con- stants. By substituting into the Schrödinger equation, find the potential energy in this region and also find the energy of the particle. (Hint: Your solution must give an energy that is a constant everywhere in this region, independent of x.)

U = U, %3D U = 0 X = 0 A potential step U(x) is defined by U(x) = 0 for x 0 If an electron beam of energy E > U, is approaching from the left, write the form of the wave function in region I (x 0) in terms of the electron mass m, energy E, and potential energy U,. Do not bother to determine the constant coefficients. Formulas.pdf (Click here-->) Edit Vicw Insert Format Tools Table 12pt v Paragraph BIU Av eu T? v

A particle moving in one dimension has the wave function Y(x,t) = Aeli(ax-bt)] %3D where a and b are constants. What is the potential field V(x) in which the particle is moving?