So I'm reading Zettili's book on quantum mechanics and in chapter 4 he is discussing the one dimensional Schrodinger equation. He then proceeds to discuss its solutions using a generalized potential (shown in the picture).
He concludes that for bound states, there is no degeneracy. Even though I find his method pretty meh, I agree and it's not particularly difficult to formally prove.
He also says that for unbound states where E>V2 (in the picture), the energy levels are doubly degenerate and I understand that due to solutions being two waves travelling in opposite directions.
However, how the hell does one conclude that for unbound states, V1<E<V2, there is no degeneracy? The picture shows his line of reasoning but I just don't seem to get it.
>>8973296
There's only 1 solution to the d.e in that region. When you apply the boundary conditions you see there's no transmission or reflection going the other ways.
All of this is theoretical though because there's fine and hyper fine splitting which can cause degeneracy depending on the states
>>8973401
Could you elaborate a bit more?
is this any good?
>>8973239
why don't you read it and find out?
What would happen if I had a baby with my own R63 clone?
god would punish you
>>8973234
It would be pretty much incest
>>8973234
How do you make a clone of the opposite sex?
Are "instincts" the most hand wavey bullshit ever?
>>8973213
It is a concept that is often thrown around hastily but that doesn't mean that instincts are bullshit.
>>8973213
no, just way too broad. your entire brain and body amounts to complicated compounding of instincts, or trigger-actions.
>>8973213
The sum of all of my biological sensors tell me no.
Can a triangle where a, b, and c are rational have an area of pi?
go look at the formula for area of a triangle
>>8973217
This.
Use heron's formula + transcendentality of pi.
>>8973209
No.
This problem is equivalent to squaring the circle.
We have never seen any evidence of type II or type III civilizations anywhere. The universe is 13.8 billion years old. If they could exist, they would exist. Furthermore, Type III's are the easiest to see, and we haven't seen one.
I think anything beyond type I is impossible or totally unnecessary for biological life. Earth might be a type I by the end of the century if we don't destroy ourselves. This would explain the fermi paradox since planetary communication is non-radio and digital and basically undetectable from Earth.
There are no dyson sphere signatures and there are no galactic structures either.
We've never seen evidence of intelligence in your brain anywhere either, and you're probably around 20 years old. If there was any there, we'd see it in your posts. Furthermore smartposts are the easiest to see since most of /sci/ is shitposting, and we haven't seen one.
>>8973105
>believing the kardashians
wtf
>>8973117
donk
https://en.m.wikipedia.org/wiki/Magnetic_monopole
Tell me, if magnetism is just an encapsulation of special relativity applied to electrically charged particles, why is this "search for a magnetic monopole" a thing that exists?
>m
>>8973106
>he doesn't browse every website in mobile mode to minimize clutter and maximize efficiency.
How's that 10 MB of Javascript treating you?
>>8973108
>enabling javascript
it's like you want your files encrypted by ruskies
What's a good app for practising maths questions on your phone?
I am trying to get efficient at doing speed, distance, time calculations and bearings.
Is there an app that allows you to practise maths questions of choice?
I can't seem to find one that isn't just a homework cheating app...
>maths
This is American website. Britshit get the fuck out of here.
>>8973155
You can't do a math dudd
>>8973044
I do not know about an iphone app, but you can use rankyourbrain.com
I'm going to study CS in September. I've already prepared for the first year by going through the literature. I want to supplement so i want to hear some good books that would expand on these.
Mathematical Analysis I: V. A. Zorich, Mathematical Analysis I, Universitext, Springer, 2004, V. A. Zorich, Mathematical Analysis II, Universitext, Springer, 2004
Linear Algebra I: W. Gareth. Linear Algebra with Applications. Jones and Bartlett Publishers, Boston, 4th edition, 2001, C. D. Meyer. Matrix analysis and applied linear algebra. SIAM, Philadelphia, PA, 2000
Algebra I: S. Lang, Algebra, 3rd ed. New York 2002, Springer
Discrete mathematics: J. Matousek, J. Nesetril: Invitation to Discrete Mathematics, Oxford University Press, 2008, 2nd edition
Combinatorics and Graph Theory I: R. Diestel: Graph Theory (4th edition), Springer (2010)
Algorithms and Data Structures I: Cormen, Leiserson, Rivest, Stein : Introduction to algorithms (2nd Edition), Mc Graw Hill 2001, Aho, Hopcroft, Ullman : The design and analysis of computer algorithms, Addison-Wesley 1976
For year 2, the notable classes are: Rings and Modules, Algebraic Curves, Topology and Category Theory, Mathematical Analysis III&IV (big rudins and demidovich). I don't quite feel like going for these yet, i'd rather some books that expand on the first year in this direction.
>>8972964
>Discrete mathematics
fail/10
>>8972969
that's literally what the class is called
https://is.cuni.cz/studium/eng/predmety/index.php?do=predmet&kod=NDMI002
What is this "real math" all mathfags talk about?
math that is more concerned with deeply understanding/proving a result rather than using a few specialized results to perform simple computations
Is Beamer a meme? I love latex, but feel that it would be extremely inconvenient to use it to format something so visual as presentations. Can anyone who has used beamer confirm/deny this?
>>8972862
>Is Beamer a meme?
No, if you want to be taken seriously doing presentations in mathematics/physics and to some extent computer science and chemistry you should use beamer
>I feel that it would be extremely inconvenient to use it to format something so visual as presentations
If you know what you're doing it isn't.
>>8972871
As a continuation on this,
Using beamer over something like canva or powerpoint adds a level of professionalism that you just can't get from the former two aforementioned technologies. It is tailor made to present mathematical text in ways that the other technologies are just obviously inferior in.
There is something to be said about the learning curve involved in beamer. You have to know latex, but it you already do, it's a trivial amount of work. If you don't, there is definitely a learning curve.
>>8972862
Don't use the default layouts, they are horrible.
Slides are mostly boxes with text inside, bullet points with text, formulas and images.
The only thing tricky are images. Tikz is often handy, but if your picture is static use inkscape and export into pdf.
I have a puzzle for the denizens of /sci/ and elsewhere I'll give you this to start:104 116 116 112 115 58 47 47 112 97 115 116 101 98 105 110 46 99 111 109 47 81 105 99 74 104 105 102 70
how much of the math and physics you're taught at uni is used for engineering related careers?
>am chemEng
>suck at math
>sticking it out for the love of chem
Depends on the career. Knowing high-level math/physics will always be useful since you can learn more advanced concepts that your peers have a hard time understanding. For most people you only use basic arithmetic and logic, there's not much else. The hard part of jobs is being able to understand the language of the system and being able to work with various programs/programming languages. But if you really want to do great things you'll probably need some type of advanced math/physics knowledge that will help you solve a problem no one could solve efficiently before.
>>8972677
I'm gonna go ahead and guess you're a freshman strugglig in mechanics and calculus thinking "you'll never use it again," and if that's the case, you're deluding yourself. It's true you won't use a ton of calculus outside of r&d, but the computational thinking you're meant to takeaway from those courses is rehashed in every single course you'll take in engineering and it doesn't get easier, unless you maybe buckle down and stop making excuses like "I'm bad at math." If you really are "bad at math," you probably shouldn't be in any hard science... (cuz you're a brainlet)
>>8972704
Am in diff eq and thermo at the moment. I started pretty much having trouble once I got to Calc 3 but diff eq just feels like its ripping me a new asshole
Scary thread?
Is dark matter just massive clouds of highly stable strange matter left behind by the big bang?
>>www.en.wikipedia.org/wiki/Strange_matter
If up-down-strange quark fluid is the true ground state of matter it would explain a lot if dark matter was made of it.
I am a man of little book learning and was always under the impression that dark matter is ordinary matter that has avenue to observe it, such as a larger body near by to affect it? how wrong am I?
>>8974760
Dark matter is matter that doesn't interact with electromagnetic radiation meaning it doesn't emit light so you can't see it