PCh7 Lec 1 2 - Revision history

Bes at 16:43, 23 March 2020

2020-03-23T16:43:10Z

Bes at 16:42, 23 March 2020

2020-03-23T16:42:48Z

Bes at 16:16, 23 March 2020

2020-03-23T16:16:12Z

Bes: Created page with "Chapter 7, Lectures 1 and 2 (previously delivered) Quantum mechanics seeks to address all modes motion/energy. As discussed at the beginning of Chapter 7, there are three typ..."

2020-03-23T13:49:37Z

Created page with "Chapter 7, Lectures 1 and 2 (previously delivered) Quantum mechanics seeks to address all modes motion/energy. As discussed at the beginning of Chapter 7, there are three typ..."

New page

Chapter 7, Lectures 1 and 2 (previously delivered)

Quantum mechanics seeks to address all modes motion/energy. As discussed at the beginning of Chapter 7, there are three types of motion:
:- Translational
:- Vibrational
:- Roational

Translational motion in QM is described by the particle in a box (Chap 4). Vibrational motion is described by the harmonic oscillator (sec 7.1). Rotational motion is described by a particle on a ring (2D - Sec 7.2) or sphere (3D - Sec 7.3).

It is convenient for us to discuss all of these modes of motion/energy as separate things, but in the end, we cannot separate the motions from each other and so the final "solution" is a bit messy.

I can draw an analogy to understanding 3D space by using the dimensions of x, y, and z. I could explain the concept of an x-axis (1D), or position along the x-axis and then tell you that a y-axis and z-axis follow all of the same concepts as the x-axis. We then put them all together in order to describe 3D space. In this case, x, y, and z fully describe all 3D space and we need to know nothing more than the x, y, and z values to know where an object is in this 3D space; we sometimes refer to x, y, and z as a "complete set."

===Vibrational Motion===

@@ Line 17: / Line 17: @@
 :- Vibrational
 ...and by the end of this Chapter the entire table should be complete.
 ===Vibrational Motion===

@@ Line 6: / Line 6: @@
 :- Roational
-Translational motion in QM is described by the particle in a box (Chap 4). Vibrational motion is described by the harmonic oscillator (sec 7.1). Rotational motion is described by a particle on a ring (2D - Sec 7.2) or sphere (3D - Sec 7.3).
+Translational motion in QM is described by the particle in a box (PIB - Chap 4). Vibrational motion is described by the harmonic oscillator (sec 7.1). Rotational motion is described by a particle on a ring (2D - Sec 7.2) or sphere (3D - Sec 7.3).
 It is convenient for us to discuss all of these modes of motion/energy as separate things, but in the end, we cannot separate the motions from each other and so the final "solution" is a bit messy.
 I can draw an analogy to understanding 3D space by using the dimensions of x, y, and z. I could explain the concept of an x-axis (1D), or position along the x-axis and then tell you that a y-axis and z-axis follow all of the same concepts as the x-axis. We then put them all together in order to describe 3D space. In this case, x, y, and z fully describe all 3D space and we need to know nothing more than the x, y, and z values to know where an object is in this 3D space; we sometimes refer to x, y, and z as a "complete set."
 ===Vibrational Motion===

@@ Line 1: / Line 1: @@
 Chapter 7, Lectures 1 and 2 (previously delivered)
-Quantum mechanics seeks to address all modes motion/energy. As discussed at the beginning of Chapter 7, there are three types of motion:
+Quantum mechanics seeks to address all modes of motion/energy. As discussed at the beginning of Chapter 7, there are three types of motion:
 :- Translational
 :- Vibrational