General Definition and 1000 Threads

So I've been set a computational problem regarding applying the Shroedinger equation to quarkonium and I'm just trying to do some research around the subject because it's nothing like I've ever covered before and quite fascinating. There's quite a few questions that I can't find answers to...

I just finished taking first semester of calc-based general physics. My professor decided to use Serway's Physics for Engineers and Scientists, which at the end of the semester, even he agreed was a bad idea. The text itself was pretty good and filled with colorful pictures, but most of the...

Hey guys. I have a question regarding the differential operator d. Say we have an equation d(Z+X*Y^2)=0 If we want to differentiate the expression in the parenthesis, are these the steps to follow? d(Z+X*Y^2)=0 dZ+d(X*Y^2)=0 Apply product rule to the second term: dZ+Y^2*dX+X*dY^2=0 Here is...

Hi guys, new here. We all know the famous "Bragg Law" and the attached schematic drawing that goes along with it of a couple of planes with a distance `d` between them. Then, a DP occurs cause of constructive interference and destructive interference which happens due to planes deep in the...

Hello I been having a "debate" about the load on an engine when going max speed on a lake vs a lesser speed but on an incline.. Here is the basic jist of the discussion... We are talking about a 150HP snowmobile using a CVT at sea level with low snow conditions that is traveling across the...

Homework Statement Find the general term and test the nature of the series: Homework Equations 1+1*4+1*4*7+... The Attempt at a Solution Term N = Term (N-1) * 3N-2 Hence,3(N-1)-2 * 3N-2 which simplifies to (3N-5)(3N-1) = 9N^2 - 18N + 5 Is this correct?

Homework Statement Find the general term and test the nature(convergent/divergent) of: 1/3 + 2/15 + 2/35 + ... The Attempt at a Solution If I simplify I get , 1/3 + (1)(2)/(3)(5) + (1)(2)(3)/(3)(5)(7) +.... I found that, TERM(N) = TERM(N-1)((N)/(2N+1) After this I am struck.

Hello everyone, First post here, so let me introduce myself. My name is Cameron Roberts, as I believe will show next to my post. I currently study at the University of Alabama as a Physics major with a somewhat undecided minor. I intend to get my Ph.D and work on the Bose-Einstein Condensate...

A map h: = T.(M) ---> T.(M) is defined by h(X) = X + g(U,X)U where U ε T.(M) is a fixed vector with g(U,U) = -1. i: Give an expression for the components h^i (sub) j (This is "h" with a superscript i and subscript j) of h regarded as a tensor type (1,1) ii: Prove that h^2 = h. Interpret h...

I have always been confused about time dilation in General Relativity. In the twins paradox, it is the traveling twin that ages slower. However, could you not just as easily say that it is the non-traveling twin that is moving away from the other? So why is it the traveling twin and not...

If you were limited to only using a single mouse trap and cheap raw materials from a local craft store, how would you design a "mouse trap car" to pull a mass of 200g (soda can w/mass)? I'm looking to maximize the mouse traps distance traveled and speed. I'm looking to minimize the weight...

Alright, I'm rather new to General Relativity, and I'm getting confused with four momentum. Back in SR, p^α=mU^α, but, this relationship doesn't hold in curved space, does it? Because, now I'm seeing that four momentum is somehow a covector in GR, and p_0=-E, so the time component of the...

Basically, I've written some code that take as inputs 1)Basis vectors 2)lattice translation vectors and computes the structure factor of the basis, producing a diffraction pattern. I'd like to begin incorporating subtle differences between atoms, so I want to compute the structure factor of...

Homework Statement Find the general term of 0, 4, 22, 118, 718, 5038, 40318 if a1 = 0, a2 = 4 and so on. The Attempt at a Solution I have tried getting the differences between them, even going 4 levels deep, but that isn't working obviously, I tried seeing if the ratios are the...

I know how to derive Gauss's law considering only one point charge and a sphere. I've seen other derivations for other geometrical shapes and I would say this is way too tedious as a method to prove that Gauss's law always holds true. I was wondering if there is a general proof that says...

General formula of a line is ax+b=0 Similarly can we have a general formula of a circle ?

For example at very low speed (v<<c), in Special Relativity, we can approximate relativistic motion to Classical Newtonian motion. But in General Relativity, what situation can make there an approximation to Newtonian Gravity ( just like v<<c ) ? Thanks.

Hello Every physical theory is formulated in terms of mathematical objects. It is thus necessary to establish a set of rules to map physical concepts and objects into mathematical objects that we use to represent them...

According to Wikipedia, the proper chemical formula for Telluric Acid is Te(OH)_6. From what I've learned in chemistry thus far, acids made from polyatomic ions within the same group follow a similar pattern. For example, Selenic Acid H_2SeO_4 is analogous to Sulphuric acid H_2SO_4. If this...

So, as i understand, the geometrical meaning of this type of integral should still be the area under the curve, however, I really do not see how you can obtain each infinitesimal rectangle from the dot product. I have understood the typical work example, that is, the line integral as the sum...

hi fellas, I want my undergrad thesis on general relativity. I need a good book on einstein field equations and its exact solutions to work with. also a book where are some solved problems and some exercises to guide me to right track any suggestions ? regards

Just read in Taylor that in general the kinetic energy can depend on position as well as velocity. I believe him, but how is that true? I thought it only depended on velocity. Chris

Hi, I started reading General Relativity but concepts such as Lorentz transformations, rotations, tensors etc. are, at least in my opinion, poorly explained. Or perhaps the authors assume that the readers are already familiar with such maths? At any rate, I would very much like to read...

Has this idea been recognized outside Frankfurt? http://arxiv.org/abs/0812.1738 Pseudo-complex General Relativity Peter O. Hess, Walter Greiner (Submitted on 9 Dec 2008) An extension of the theory of General Relativity is proposed, based on pseudo-complex space-time coordinates. The new...

ok, so hear me out, please read the whole thing. so, next year I am going to a new school(tams) i will be starting my jr year in high school. and the classes are total only 4 hour long daily, that gives me a lot of free time. ive been reading a lot about quantum mechanics and some particle...

Hello! Is it possible to study the organic chemistry without the firm knowledge of general chemistry? I took the general chemistry on last year and will take the organic chemistry on this Fall but I forgot the majority of topics from general chemistry...I heard that organic chemistry is quite...

Hi all, I am really curious about the final state conjecture in general relativity, but I don't really understand it... There seems to be a really good explanation provided by Willie Wong here: http://math.stackexchange.com/questions/50521/open-problems-in-general-relativity however it is...

How to use generalized series command on to nspire CX cas

Homework Statement Find the coefficient of x^n in the expansion of each of the following functions as a series of ascending powers of x. \frac{1}{(1+2x)(3-x)} Homework Equations The Attempt at a Solution (1+2x)^{-1} = 1 + (-1)2x + \frac{(-1)(-2)}{2!}(2x)^2 +...

Hi, I am new here, I am no physicist and I'll admit have not read much on physics, but I do have a keen interest and a deep wanting to know answers and understand how and why things are the way they are. lately I've been reading a lot about General and Special Relativity, and time, I've always...

I'm reading a book about unification of general relativity and quantum physics. The author states that one of the axioms of GR is background-independence, meaning that space-time has no external reference points. All distances and motions in space-time are relative. On the other hand, the...

First I want to consider an example of 1D motion. Lagrange equation: $$ \frac{d}{dt} \frac{\partial L}{\partial \dot x} - \frac{\partial L}{\partial x} = 0 $$ If we transform $$L \rightarrow L+a$$ with a is constant, the equation of motion remains unchanged. This is global symmetry. To obtain...

SR is a theory based on flat space-time, and all of its effects are there in a flat space-time framework.My question is, how is SR compatible with GR, since GR uses curved space-time? Or to say it better how are time dilation, length contraction and relative simultaneity manifested in curved...

Homework Statement I'm trying to figure out how the general solution of the Schrodinger equation for a free particle when v=0 relates to anything I have learned in class...Homework Equations For Eψ=(hbar2/2m)d2ψ/dx2The Attempt at a Solution I really have no idea- what is confusing me is that ψ...

So I know \cos n \theta + i \sin n \theta = (\cos \theta + i \sin \theta)^n and by applying binomial to the RHS and taking the real part gives you: \cos n \theta = \sum_{k=0}^{\lfloor {n \over 2} \rfloor} C^n_{2k} (\cos^2 \theta - 1)^k \cos^{n - 2k} \theta . I have come across another...

I am sorry, this is a rather dump question- more like a notation question since the sources I've looked into don't specify it... But in case I want to calculate (in general dimensions) the: \Gamma^{2}_{chir} =1 Do I have to take: \Gamma_{chir} \Gamma_{chir} or \Gamma_{chir}...

Hello! I am a rising sophomore with double major in a microbiology and a chemistry. I wrote this thread because I need a guidance in the course selection for the upcoming Fall Semester. Is taking both organic chemistry and biochemistry a good idea? I know that the biochemistry is based on...

I was reading Einstein's paper "The Foundation of the General Theory of Relativity" and as i understood, he tried to establish that gravitation arises due to different kind of motions of objects. As per his opinion, in infinitesimally small space-time region special theory of relativity is still...

The conic equation has 2 versions in cartesian coordinates: The general: ##Ax^2 + Bxy + Cy^2 + Dx + Ey + F = 0## And the parametric: ##y^2 = 2px + (e^2-1)x^2## In polar coordinates, I known just the parametric: ##r = \frac{p}{1+e\cos(\theta)}## But exist a general form too?

I don't understand, if everything in this world is relative to something else, then cannot we essentially say that nothing exists independently? We say that the universe is considered to be the ultimate 'background'. However, if we say it is expanding, shouldn't it be expanding relative to...

We need a general thread to talk about all the matches. So here it is! Let's keep the discussion rolling during the matches too for those who are watching. If you are interested in joining the PF World Cup Futbol League go here: https://www.physicsforums.com/showthread.php?t=756611 First...

Hello guys :smile:, First of all, sorry for my bad english, I'm not a native speaker. :) I'm a Swiss currently in High School. I first took Philosophy as a specialization when I began my High School, but as I started to think about what kind of study I wanted to do at University, I...

1. Write down the general term of each of the following sequences in simplest form: So far I have been using guess and check to find the solutions, but it doesn't seem much use when you get to a sequence more complicated like this: 1, -4, 7, -10, 13, ... I really need to find an equation that I...

I am transferring from community college to university in the fall with only General Physics I completed, so I need to take General Physics II at university. I felt like I did okay in Physics I (I got a B), but I definitely would like to review some of the topics in that class, so what topics...

Homework Statement I want to know the expression for the round metric of an n-sphere of radius r Homework Equations I have obtained this for a 3-sphere dS^{2}=dr^{2}+r^{2}(d\theta_{1}^{2}+sin^{2}\theta_{1}d\theta_{2}^{2} +sin^{2}\theta_{1}sin^{2}\theta_{2}d\theta_{3}^{2}) The...

Hi everyone, For an experiment I am writing up I have to model the acceleration of a disk rolling down an incline (at an angle of θ to the ground) with various hole sizes in the center. A am aware that the moment of inertia for this object is given by 1/2m(a^2 + b^2) and that the net...

I was studying a article that solves the cube and quartic equation in the inverse sense: ##x = \sqrt[3]{A} + \sqrt[3]{B}## ##x = \sqrt[4]{A} + \sqrt[4]{B} + \sqrt[4]{C}## https://www.physicsforums.com/attachment.php?attachmentid=70239&stc=1&d=1401676309I found this relationship too...

I was studying the equations of free fall and of launch when I realize that those equations are spetial case of a object in motion through of a gravitational field. So exist some general equation that describe the motion (the trajetory*) of the object through of the field (using initial values...

I'm thinking about being a physics major with a double major in Earth Science. At my college Classical Mechanics is a required course for a physics major, whereas General Physics is required for the Earth Science major. There is an option at my school to take General Physics instead of Classical...

For a homework assignment I need to find the determinant of: ##\left | \begin{array}{cccc} a^0 & b^0 & c^0 & d^0 \\ a^1 & b^1 & c^1 & d^1 \\ a^2 & b^2 & c^2 & d^2 \\ a^3 & b^3 & c^3 & d^3 \\ \end{array} \right | ## I've reduced my matrix, through linear combinations and column...