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The wave functions p. and d are linear combinations of the spherical harmonic functions, which are eigenfunctions of the operators Ĥ, i², and Î, for rotation in three dimensions. The combinations have been chosen to yield real functions. ▾ Part A Are these functions still eigenfunctions of 1₂? Answer this question by applying the operator to the functions. Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. 3 V4T sin 15 √4π 4 V 15T 15п 4 V 3T 3π COS 1₂P₂-ih 8 8p o. This shows that pz 8 86 izdzz -ih- 0 0 0 =ih an eigenfunction of 1₂. p. This shows that das Reset Help 0 an eigenfunction of 1₂.

The wave functions p. and d are linear combinations of the spherical harmonic functions, which are eigenfunctions of the operators Ĥ, i², and Î, for rotation in three dimensions. The combinations have been chosen to yield real functions. ▾ Part A Are these functions still eigenfunctions of 1₂? Answer this question by applying the operator to the functions. Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. 3 V4T sin 15 √4π 4 V 15T 15п 4 V 3T 3π COS 1₂P₂-ih 8 8p o. This shows that pz 8 86 izdzz -ih- 0 0 0 =ih an eigenfunction of 1₂. p. This shows that das Reset Help 0 an eigenfunction of 1₂.

Physical Chemistry
Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.22E
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The wave functions p and d are linear combinations of the spherical harmonic functions, which are eigenfunctions of the operators ÂÎ, î², and Î ₂ for rotation in three dimensions. The combinations have been chosen to yield real functions. ▼ Part A Are these functions still eigenfunctions of 1₂? Answer this question by applying the operator to the functions. Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. 3 V4π sin | 15 V4T 4 15TT 4 √3π COS is not is Î₂px îzdxz ə ap p. This shows that pr -iħ- ə = -iħ. ao 0 0 0 p = iħ an eigenfunction of Îz. 0 0 p. This shows that dxz Reset 0 6 = iħ an eigenfunction of 1 z. Help
Transcribed Image Text:The wave functions p and d are linear combinations of the spherical harmonic functions, which are eigenfunctions of the operators ÂÎ, î², and Î ₂ for rotation in three dimensions. The combinations have been chosen to yield real functions. ▼ Part A Are these functions still eigenfunctions of 1₂? Answer this question by applying the operator to the functions. Match the items in the left column to the appropriate blanks in the sentences and the equations on the right. Make certain each sentence and equation is complete before submitting your answer. 3 V4π sin | 15 V4T 4 15TT 4 √3π COS is not is Î₂px îzdxz ə ap p. This shows that pr -iħ- ə = -iħ. ao 0 0 0 p = iħ an eigenfunction of Îz. 0 0 p. This shows that dxz Reset 0 6 = iħ an eigenfunction of 1 z. Help
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