The first two spin orbitals for the hydrogen atom are1Pr0o(r,0, $,0) =,3/2and12V.00-1(r, 0, .a)aoßV4n a/z%3!show that they are orthogonal, assuming that the spatial and spin parts of the wavefunction are independent. Show the process for credits.

To determine if a matrix is orthogonal, we need to multiply the matrix by it's transpose, and see if…

The first two spin orbitals for the hydrogen atom are 1 2 a P100(r,8,$,0) =- 3/2 and Vs00-7,0,0.0) = V4n e aoß show that they are orthogonal, assuming that the spatial and spin parts of the wave function are independent. Show the process for credits.

The first two spin orbitals for the hydrogen atom are 1 2 a P100(r,8,$,0) =- 3/2 and Vs00-7,0,0.0) = V4n e aoß show that they are orthogonal, assuming that the spatial and spin parts of the wave function are independent. Show the process for credits.

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 11.24E: Based on the trend shown in Figure 11.5, draw the probability distribution of a harmonic oscillator...

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Techniques and applications of quantum theory

Quantum theory, often known as quantum physics, is the foundation of modern physics and encompasses the nature and behavior of matter and energy at the atomic and molecular levels. As the exact nature and behavior of atomic and subatomic particles are impossible to determine, the laws of classical physics do not apply to this discipline. As a result, quantum field theory is primarily based on assumptions and probabilities.

Question

The first two spin orbitals for the hydrogen atom are
1
Pr0o(r,0, $,0) =
,3/2
and
1
2
V.00-1(r, 0, .a)
aoß
V4n a/z
%3!
show that they are orthogonal, assuming that the spatial and spin parts of the wave
function are independent. Show the process for credits.

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