1) Quantum Mechanics: Schrodinger Equation Some Worked Examples. 2) Wavefunction & Wavepacket.

QM Demystified A Self Teaching Guide by David McMahon. I purchased this
book in 2007. Read chapter 1 and 2 in that year. Did not get past chapter 2, but did complete chapter 2. May had gotten busy with other things, most probably found the subject matter incomprehensible, difficult, tough, .... This book made it possible for me to understand the basic mathematics required for the topic. I revisited it again in 2019 and 2020, as you can see.

Had it not been for David McMahon's book, Schrodinger Equation may not been a subject matter I could understand. I admit I may still be incomplete on its understanding. So there maybe mistakes here that you can easily spot. Apologies in advance.

Example were needed to supplement the theory, this is why this book was suitable for me. There are a few examples from other textbook(s) in the study notes.

Its mainly the mathematics technique required and applied to understand some of the undergraduate Schrodinger Equation subject matter.

Approximately 85 pages. Tried to make it as step by step as possible.

21 examples in all.

You may need to zoom in at a higher magnification for the subscripts.

Any errors and omissions apologies in advance.

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From Wavefunctions and Wavepacket To Schrodinger Equation.

Intermediate Level.

I found this topic loosely attempted, maybe a lack of full appreciation where I was not confident.

I had the steps thru once. The assumptions their impact, and the full picture on the wavepacket were not firm. Not that they are now you can or may proof that.

If you had a course in communication theory in electrical engineering or similar subject, maybe you sensed the same hurdle I did in that subject, similar here.

Its here where the physicists Mahesh Jain, who wrote QM For UGs, makes his case to end one kind of material and leap into another. The another being the Schrodinger Equation.

His approach on how to show the wavefunctions superpositioned to form the wavepacket. The phase velocity to the group velocity. Putting it another way, if correct, to show how the phase velocity is 'embedded' in the group velocity.  Embedded sounds more engineering like but it maybe the wrong expression to use here. This is the subject matter here. It comes just before Schrodinger Equation. 

No solved examples.

Just to show how to get from the 'wavefunctions and phase velocity' to the 'wavepacket and group velocity'.

I call it a ROUGH DRAFT because I am not prepared to take on that role as a subject matter expert on this topic. You may try and are welcome.

Content based on Mahesh Jain's textbook titled Quantum Mechanics For Undergraduates. Publisher PHI.

Any errors and omissions apologies in advance.