If two wavefunctions, a and y, are orthonormal and degenerate, then what is true about linear combinations 1 = Y+ ·(y₁+¼b) √2 a Y_= = = (y₁ - yb) √2 and (a) y+ and y- are orthonormal. (b) y+ and y_ are no longer eigenfunctions of the Schrödinger equation. (c) y+ and y_ have the same energy. - (d) y+ and y_ have the same probability density distribution.

Principles of Modern Chemistry
8th Edition
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Chapter5: Quantum Mechanics And Atomic Structure
Section: Chapter Questions
Problem 6P: Using Table 5.2, write down the mathematical expression for the 2px wave function for an...
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If two wavefunctions, Wa and Wb, are orthonormal and degenerate, then what is true about the
linear combinations
1
1
w. +v.)
a
a
and
(a) y+ and y- are orthonormal.
(b) y+ and y- are no longer eigenfunctions of the Schrödinger equation.
(c) V+ and y- have the same energy.
(d) V+
and
Y-
have the same probability density distribution.
Transcribed Image Text:If two wavefunctions, Wa and Wb, are orthonormal and degenerate, then what is true about the linear combinations 1 1 w. +v.) a a and (a) y+ and y- are orthonormal. (b) y+ and y- are no longer eigenfunctions of the Schrödinger equation. (c) V+ and y- have the same energy. (d) V+ and Y- have the same probability density distribution.
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