Given a 4x4 non-Hermitian matrix, is there any method I can use to prove the eigenvalues are real, aside from actually computing them?
I'm looking for something like the converse of the statement "M is Hermitian implies M has real eigenvalues".
When can one say that the eigenvalues of a...
Homework Statement
A laser of power P with wavelength \lambda is directed through a lens (focal length f) off the optical axis by a distance d. What is the sideways force on the lens?
Homework Equations
Not sure. The average radiation pressure is I/c, where I is the intensity. But this...
M=0.000000007kg
This mass is very small considering the spheres are 2m apart.
I always try to notice these things for myself. This helps me be surprised when I get a surprising answer! And often, a surprising answer to a sundry question is a wrong answer.
Physics has never perfectly described the physical world. It is a science of approximations. (It is only approximations!). In physics, there are many P=0 events. And in the real world? I don't know, but that sort of question isn't physics at all! It's philosophy.
I won't be able to give you very good advice, but I do know one thing: most graduate schools require undergraduates with a background in, at least, classical mechanics, electromagnetism, thermal and statistical physics, and some quantum mechanics. From the sounds of it, you will not be able to...
Keep in mind that physics and engineering, like all pursuits in life, require a huge amount of unexciting work.
I do not mean to say that physics is boring, but for many courses you are investing in your understanding. It will pay off later.
Consider, for instance, how many hours you needed...
This isn't my homework: I'm doing some physics research and I'm stuck at a simple 2 equations. I want to solve these equations
A \cos(\gamma) \sinh(\theta) = \lambda - B \cosh(\theta)
A \cos(\gamma) \cosh(\theta) = A \sin(\gamma) - B \sinh(\theta)
I'd like to know if there's any way I...
Thanks, that's an easy way to remember where zero point energy comes from!
I guess I need to start taking my grade-school physics with a grain of salt, don't I? :smile:
If \Delta x \Delta p > \frac{\hbar}{2}, what happens at T=0? Since "all motion stops" must we have \Delta x diverge?
Or is the zero-point motion allowed to occur at T=0, and only classical kinetic energy is zero?