Classical Definition and 1000 Threads

Homework Statement The cycloid pendulum consists of a particle under the effect of a constant gravitational field (\vec g = -g \hat y) that moves without friction over a curve described parametrically by x=a(\theta + \sin \theta) and y=a(1-\cos \theta ). 1)Write down the Lagrangian and the...

What is the typical material covered in such classes? Is there a common textbook used by most colleges that I could look through? Can someone suggest a good book from Dover publications that I can pickup cheaply to serve the same purpose? Much appreciated.

Hi all, I was speaking to a design engineer and he mentioned that he uses Classical Finite Element Analysis in his work designing valves and cylinders. Can someone explain to me what is Classical FEA, and how does it differ from FEA that you use in a computer program (Ansys, abaqsus,...)...

is there relation between the adjoint (as in conjugate transpose) and the adjoint of a matrix(each entry replaced by the its cofactor and one takes the transpose of the resulting matrix) Thank you

Will someone please explain the foll. doubts in this solved problem from David Morin's book. TIA sree ------------ DOUBTS : 1. What is the principle of eqn. 3.78 ? If V is block speed and Vy is its component in y dirn., why should V + Vy be constant ? 2. In Why should...

Homework Statement I try to solve the problem 3.5 in Kleppner Kolenkow ”An introduction to Mechanics” using various approaches but end up with wrong answers. The problem is: 3.5 A circus acrobat of mass M leaps straight up with initial velocity v0 from a trampoline. As he rises up he takes...

Homework Statement Calculate the Cartesian expressions and the value of the modulus of the angular momentum in cylindrical coordinates of a particle whose coordinates are (r, \phi, z).Homework Equations L=T-V, \vec P = \sum _i ^3 \frac{\partial L}{\partial \vec {\dot q_i}}, \vec M = \sum _i^3...

Hi there PF. I have recently been working on the Classical Unified Field Theory, and i want to ask, why the Einstein-Maxwell equations does not candidate for a Classical Unified Field Theory, since it incorporates both general relativity and electromagnetism, into a single formalism? I...

I am a Physics major, just completed my junior year. During my fall semester I took the first level to the upper level Classical Mechanics sequence and received a C. I know that this was because I was working part time at that time so I was not able to put in as much time as I should have into...

Hi everyone, I have a severe confusion about the notions of "expanding the theory around a classical vacuum" and "considering small fluctuations around a classical vacuum" which I find in QFT textbooks. My problem is: in the path integral \int D\phi e^{i S[\phi]} one doesn't integrate only...

Bachman's "line integral" versus "classical line integral" David Bachman A Geometric Approach to Differential Forms http://arxiv.org/abs/math/0306194 When Bachman talks, in Appendix A, about "classical" line, surface, volume integrals, does he mean integrals of differential 0-forms (scalar...

I'm trying to show that for an electron of uniform charge and mass distributions spinning about a fixed axis that the classical calculation for the magnetic moment is μs = -(e/2m)S where S is the spin angular momentum. Now I know that the moment for any given current loop is μ = iA. So...

Hi, I looking for books that have practice problems (with explanations would be nice) on general introductory level Calc. based Classical Mechanics. And for Electromagnetism I'm looking for an introductory book that has practice problems. I haven't taken Multivariable Calc. yet (I'll be...

Why the reciprocal of the damping rate in this model equal to the phonon lifetime? Can somebody give me a detailed exaplanation. Thanks.

Hi All, I'd be interested in your thought on this classical Bell test by Hans de Vries. http://www.physics-quest.org/Bell_inequality.pdf" Cheers

I need some material on the properties and relationships between classical groups. I was using Robert Gilmore's "Lie Groups, Lie Algebras and Some of their Aplications", but it barely covers it (section 2.iv). Does someone know about a book or any lecture notes that could be used to...

Please teach me this: It is seem to me that the classical equation is an equation describing the relation between operators.But quantum equation describes the relation of expectation values of physical quantities.Then corresponding principle only implies the one-one coresponding between...

Hi, This is my first post. Sorry for the mistakes it certainly contains. I have two questions. First, is there a tutorial for using embedded LaTex? I found some general tutorials on LaTex, but I couldn't get some of the commands listed in that tutorial to work in the embedded LaTex code...

Imagine that I have a system that is described classically by a given Hamiltonian which is a function of a given set of parameters q and their canonical conjugate momenta p=\frac{\partial L}{\partial \dot{q}}. Then, I will say that the quantum description of the same system is guided by setting...

Please teach me this: It seem to me that the classical Lagrangian is only ''the tip of the iceberg'' of full quantum Lagrangian which has some ''counterterms'' having ''classical parameters'' zero.With this ''counterterms'' of full Lagrangian,the vacuum expectation value of field(s) is...

Homework Statement You can find the problem in Jackson's Classical Electrodynamics 3rd edition. Chapter 10.19.I already calculated the transmission coefficients, but mine are fourth of those given by Jackson. I do not know why. My calculation is based on Problem 10.18. I use dipole moments...

Please teach me this: Why the minima of potential of classical Lagrangian is called the ''vacuum expectation value of Phi(field function)''.Is it really a vacuum expectation value of field operator at the vacuum states(at this state,the potential part of classical Lagrangian equals zero)...

Homework Statement Could someone please explain what is meant by the term: \partial_{[ \mu}F_{\nu \rho ]} Homework Equations I have come across this in the context of Maxwells equations where F^{\mu \nu} is the field strength tensor and apparently: \partial_{[ \mu}F_{\nu \rho...

Discussion continued from this post on another thread... Bell's proof does not involve any notions of "particles" or "waves" whatsoever, it only involves observed experimental results combined with the idea that the theory generating them is local realistic. Again, do you agree or disagree...

I'd like to open a discussion thread for version 2 of the draft of my book ''Classical and Quantum Mechanics via Lie algebras'', available online at http://lanl.arxiv.org/abs/0810.1019 , and for the associated thermal interpretation of quantum mechanics, espoused in the book. The goal of the...

Classical Field Theory without Force Has anyone seen how this has been approached?

I recently saw two connected articles in AIP Advances. The attempt is to generate a classical model for the particle electron which can satisfy requirements of the three modern theories: quantum mechanics, special relativity and electrodynamics. 1) Mathematical model I. Electron and quantum...

My friend recommend this book to me. Actually, I don't have enough time to read Goldstein. But this is book is not so thicker as Goldstein's. May I use this book as a substitution?

In the book of Pathria(p.16), he mentioned that If (i) the mutual interactions among particles are negligible and (ii) the wave packets of individual particles do not significantly overlap, then there does not exist any spatial correlations among the particles in the system composed of...

Homework Statement This isn't the whole homework problem but I need to show that (p dot gradient operator)E is equal to Gradient operator(p Dot E) Homework Equations P= Dipole Moment E= non constant electric field. The Attempt at a Solution Like I said this is the last part of...

I was told by a friend that I need to study Complex Analysis, Introduction to Analysis on top of PDE. My highest level of math is only PDE. I want to know what other math topics I need for self study in JD Jackson. I know people go to school will have instructor teaching the math in the...

Hi everyone, I would like to ask a very simple and direct question: has the classical limit of any of the various loopy approaches to quantum gravity been shown to be GR? Perturbative fluctuations around flat space, for example? I've seen what appear to me to be conflicting claims on...

I'll be attending college in a few months, and I would like to know what mathematics to study in order to understand my classical mechanics class. Could anyone help me? I've heard that I should know ODEs and PDEs but I didn't think such math was required. Is this true? And what should I be...

What could be a good example or textbook problem which could be solved using quantum physics and classical physics in order to see the difference? If you wan to explain the differences to a non-physics student, what would you do? (Don´t use the blackbody radiation problem).

Okay, I have this textbook about Classical Mechanics. It is NOT a high school textbook, it's like a college textbook, which requires beyond algebra. I also have calculus textbook, but I have not mastered multivariable calculus yet. If I do master this, will it help me finish Classical Mechanics...

Consider the following model. Put a lattice of N electrical nodes on a sphere. The lattice doesn't have to be perfectly regular. Each node is connected to others by copper wires that run through the interior of the sphere. The wires do not interfere with each other. In some initial state...

Every textbook I read seems to follow the same logic/derivation of physics: -Gauss' Law is observed experimentally, shows us there's this thing E -Biot-Savart's Law is observed experimentally, shows us there's this thing B -Ampere's Law (after fixed by Maxwell) observed experimentally, along...

So, I am about to read Landau's and Lifschitz's textbook on Classical Mechanics. What kind of mathematics I should be already familiar with in order to completely understand the above mentioned material? Would real-variable calculus and linear algebra be sufficient for the task? Thanks for all...

Is it true in AdS/CFT the ontology on the boundary is quantum (whatever that may be), and the ontology in the bulk is classical? If that were true it would be a new "interpretation" of quantum mechanics.

Hi, I have a problem in classical field theory. I have a Lagrangian density \mathcal{L}=\frac{1}{2}\partial_\lambda \phi \partial^\lambda \phi + \frac{1}{3}\sigma\phi^3 . Upon solving the Euler-Lagrange equation for this density, I get an equation of motion for my scalar field \phi (x), where...

Landau & Lifschitz, "Classical Theory of Fields" The above titled book is useful in many regards, but occasionally I find what I think are errors in the text. I have the Third Revised English edition (1971). On p. 231, for example, an unnumbered equation E = J e. I have omitted the...

Hey, I am starting this course very shortly, and I always found that the books the professor recommended, I couldn't quite understand. So these are my syllables: Electrostatics: electric charge and field, Coulomb law, Gauss law; potential; energy; conductors; Poisson and Laplace equations and...

Looking at a path of system state (x(t),v(t)) as a vector, the Lagrangian strangely is a scalar function of pairs of coordinates of the vector. If, on the other hand, the complete state of a system was captured in a single complex number x+iv, a complex analogue of the Lagrangian would simply...

http://arxiv.org/abs/1102.2213 Classical and Quantum Probabilities as Truth Values Authors: Andreas Doering, Chris J. Isham (Submitted on 10 Feb 2011) Abstract: We show how probabilities can be treated as truth values in suitable sheaf topoi. The scheme developed in this paper is very...

Sorry if this sounds like a dumb question, but at Georgia Tech, many engineering majors take a class in mechanics (required) and classical mechanics (not required, but it's an option). I just finished mechanics in my high school AP Physics class (which should be similar in content to a college...

Like classical dancing or getting down and swinging thoughts hips.

In Sean Carroll's GR book I found the following statement: there is no simple map between classical and quantum theories, - there are classical theories with no quantum counterpart - classical theories with multiple quantum versions - quantum theories without any classical analogue Could...

Can anyone please explain the concepts of scalar and vector potential and how they can be used to derive the wave equation for light? References are welcome. Thanks in advance for any help!

why according to classical, electron circuling around the nucleus will emit EM wave and lose energy and collapse? I know electron undergoes circular acceleration, but why emit EM wave?

Homework Statement A critically damped oscillator with natural frequency \omega starts out at position x_0>0. What is the maximum initial speed (directed towards the origin) it can have and not cross the origin? Homework Equations For the case of critical damping...