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Quantum Mech­an­ics is one of the most dif­fi­cult and inter­est­ing top­ics covered by under­gradu­ate phys­ics (mainly) stu­dents. Per­son­ally, the whole top­ic is utterly fas­cin­at­ing! It’s a top­ic which I feel requires some sig­ni­fic­ant ground­work in oth­er sub­jects before it can be giv­en a mean­ing­ful treat­ment. For this reas­on, I’ve put some emphas­is on dif­fer­en­tial equa­tions and elec­tro­mag­net­ism. For­tu­nately, at under­gradu­ate level this is a genu­inely man­age­able sub­ject. Per­son­ally, the most dif­fi­cult sec­tion was that of quantum stat­ist­ics. For this reas­on, I’ve paid par­tic­u­lar atten­tion in this regard. The truth is that as a stu­dent you are being exposed to top­ics dur­ing single lec­ture peri­ods which took years to devel­op! I hope these videos are of use.

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Video # Video Series Title Remarks
1 Pre­lim­in­ar­ies and the Sch­rodinger Equation  Deriv­a­tion of the S.E., and some fun­da­ment­al top­ics for the study of quantum mechanics
2 Quantum Well Infinite/finite poten­tial wells, the poten­tial step etc. (this sec­tion requires updat­ing and much work)
3 Quantum Lin­ear Har­mon­ic Oscillator Lad­der oper­at­ors, pos­i­tion, momentum, kinetic/potential ener­gies etc.
4 Quantum Stat­ist­ics Max-Boltz, Fermi-Dir­ac, Bose-Ein­stein, Som­mer­feld Expan­sion, dens­ity of states, black­body radi­ation etc.
4 Wave­func­tions of Hydrogen Deriv­a­tion of the Wave­func­tions of the Hydro­gen atom
5 Oper­at­ors
6 Spin
7 Dir­ac Nota­tion and Brackets
8 The Free Particle and the Four­i­er Transform

 

Spatially Localised Matter Wavepacket

Spa­tially Loc­al­ised Mat­ter Wavepacket

 

 

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