How do I learn about physics?

How to learn quantum physics?

  • I'm 15 years old and going into 10th grade this fall. Mathematically, according to my quantum mechanics book that I got for Christmas a year or two ago, I need to learn multivariable calculus and linear algebra in order to be able to understand the mathematics behind quantum mechanics. Currently, I only have knowledge of algebra, and some basic understanding of Calculus. (Actually, I don't truly understand most of Calculus yet, I just know some of the formulas. But I do understand the concept of a limit. I think the definition of a derivative is how the argument of a function changes in response to another arbitrary unknown quantity, but I'm not sure. I also know that derivatives can be used to find the instantaneous rate of change, and that it can also be defined as the slope of the line tangent to a function at a particular point. An antiderivative (integral) is the inverse operation of the derivative, and it can be used to calculate area. Other than that, I don't really know any Calculus.) I remember that, when reading and attempting to understand my quantum mechanics book awhile ago, I was able to, at least partially, understand some of the more basic mathematics behind quantum mechanics involving vectors, matrices, bras, and kets. However, I don't know what I should learn in terms of physics as a prerequisite for understanding quantum mechanics. Should I just read a general introduction to physics book, or something? Or am I too young at the age of 15 to possibly understand quantum mechanics?

  • Answer:

    In the education system, quantum mechanics is typically only taught to college and graduate physics majors (though electrical engineers sometimes take a basic quantum mechanics course). College level courses typically require students to take a few semesters of calculus, a course in differential equations, a course in linear algebra/matrix methods, and have a knowledge of complex variables and partial differential equations. In my experience, even the best physics students don't typically walk away from their undergraduate courses with a deep understanding of quantum mechanics. Graduate courses are typically deeper and more thorough presentations of quantum mechanics, but the mathematics involved in such courses can be quite sophisticated. Typically students obtain a reasonably good understanding of quantum mechanics in these courses. The truth is, quantum mechanics is very strange and rich, and it can be quite counter intuitive. Therefore, a true understanding of quantum mechanics takes a lot of dedication and time. Most physicists I know (though they might not admit it) didn't really grasp quantum mechanics when they first started learning it. Typically, only physicists truly understand this subject. Nevertheless, there are things you can learn about quantum mechanics to give you a taste of what it's all about. I have provided some links to books that you might be interested in. Also chemistry books often discuss quantum mechanics in the context of atoms and molecules and tend to be less mathy.

SCS1337 at Yahoo! Answers Visit the source

Was this solution helpful to you?

Other answers

This is a collection of lectures on quantum mechanics given by Professor Leonard Susskind, which emphasize the fundamentals of quantum physics. http://www.infocobuild.com/education/audio-video-courses/physics/quantum-mechanics-winter2012-stanford.html

Steven

You are trying to make sense of something that does not make sense. “By 1928 or so, many of the mathematical formulas and rules of quantum mechanics had been put in place and, ever since, it has been used to make the most precise and successful numerical predictions in the history of science. But in a real sense those who use QM find themselves following rules and formulas laid down by the ‘Founding Fathers’ of the theory…. Without really understanding why the procedures work or what they really mean. …. What are we to make of all this? Does it mean that on a microscopic level the universe operated in ways so obscure and unfamiliar that the human mind, evolved over eons with phenomena on familiar everyday scales, is unable to fully grasp what really goes on? Or, might it mean that through historical accident physicists have constructed an extremely awkward formulation of QM that, although quantitatively successful, obfuscates the true nature of reality? No one knows.” – Brian Greene, The Elegant Universe 'I think it is safe to say that no one understands quantum mechanics'. Richard Feynman If anyone understood QM it would be Richard Feynman Who needs fantasy, when they have Quantum Mechanics - Me I find the best way to approach QM is: QM is like going to see a fantasy movie (Harry Potter, Twilight, Lord of the Rings, Underworld, etc). Though the movie involves a universe that has different rules from the universe we live in, we have no problem accepting witches, warlocks, hobbits, werewolves, vampires. We learn the rules and the movie makes perfect sense. (Quick: If you saw a person that sparkles in sunlight what is he or she? I bet you could answer without thinking about it. Though you know that people do not sparkle in sunlight. You know the rule, accept the rule, and apply the rule.) The thing about QM is, QM is real. The rules describe the sub-atomic world accurately. The rules are consistent and rational, BUT they are also illogical and counter intuitive. We must accept (like the movie) that the rules make sense in that world, even though that make no sense in the macro world of things larger than an atom. We do not “understand” QM, we “Interpret” it. We form mental pictures of what is going on and they are weird because QM is weird. The Interpretations may not be “reality.” Copenhagen is just one of those Interpretations. We use the Interpretation that best fits the phenomena we are trying to analyze. So, don't try to understand it. No body does. Learn the Rules (A couple of the more common Interpretations.) I Recommend: Copenhagen, Wave-Particle Duality, Probability Wave, and Many Worlds. These are all weird views of Reality and though they work very well and give very accurate predictions of how the universe works, as Greene says, they may not be what is really going on. Then review the Classic QM Experiments and see how the Interpretations explain the results. I recommend: 2 Slit Experiment Delayed Choice Experiment Quantum Eraser You do not need any math for that. The detail work like the location and spacing of the Interference Fringes can come later when you have the math and physics skills. The important thing for you now is to get comfortable with the weirdness and counterintuitive nature of QM.

OldPilot

Related Q & A:

Just Added Q & A:

Find solution

For every problem there is a solution! Proved by Solucija.

  • Got an issue and looking for advice?

  • Ask Solucija to search every corner of the Web for help.

  • Get workable solutions and helpful tips in a moment.

Just ask Solucija about an issue you face and immediately get a list of ready solutions, answers and tips from other Internet users. We always provide the most suitable and complete answer to your question at the top, along with a few good alternatives below.