Classical Definition and 1000 Threads

  1. bcrowell

    Classical electroweak field theory

    A question I'm sure I've seen asked here and/or elsewhere is why there doesn't seem to be any classical force corresponding to the weak interaction. I came up with the following, and am wondering whether this seems correct and satisfying to others. Basically, being able to write down a...
  2. S

    Heat Capacity of a classical ideal gas and SHO

    Homework Statement Ideal gas. In an ideal-gas model. N molecules move almost indepdently with very weak interactions between, in a three-dimensional box of volume V. Find the heat capacity of the system. SHO. Consider N independent SHOs in a system. each osciallating about a fixed point...
  3. micromass

    Classical What is the best undergraduate book on Classical Mechanics?

    Author: John Taylor Title: Classical Mechanics Amazon Link: https://www.amazon.com/dp/189138922X/?tag=pfamazon01-20 Prerequisities: A Lower-Division mechanics course Contents: Upper-Division of undergrad
  4. Astrum

    Recommend me a Classical Mechanics Text

    Having gone through Hailliday-Resnich mechanics, I'm looking for something a step above this. I'm taking second year mechanics next year, but I'd like to get a head start on it (considering that I move faster on my own, anyway). I'm looking at either Kleppner, or Taylor right now, but I'm...
  5. Greg Bernhardt

    Classical Classical Mechanics by Herbert Goldstein

    Author: Herbert Goldstein (Author), Charles P. Poole Jr. (Author), John L. Safko (Author) Title: Classical Mechanics Amazon Link: https://www.amazon.com/dp/0201657023/?tag=pfamazon01-20 Prerequisities: Contents:
  6. Greg Bernhardt

    Classical What Topics Are Covered in Classical Dynamics of Particles and Systems?

    Author: Stephen T. Thornton (Author), Jerry B. Marion (Author) Title: Classical Dynamics of Particles and Systems Amazon Link: https://www.amazon.com/dp/0534408966/?tag=pfamazon01-20 Prerequisities: Calculus, Ordinary and Partial Differential Equations, Introductory Physics Level...
  7. Greg Bernhardt

    Mathematical Methods of Classical Mechanics by V.I. Arnol'd

    Author: V.I. Arnol'd (Author), K. Vogtmann (Translator), A. Weinstein (Translator) Title: Mathematical Methods of Classical Mechanics Amazon Link: https://www.amazon.com/dp/1441930876/?tag=pfamazon01-20 Prerequisities: Contents:
  8. Greg Bernhardt

    Classical Classical Electrodynamics by John David Jackson

    Author: John David Jackson Title: Classical Electrodynamics Amazon Link: https://www.amazon.com/dp/047130932X/?tag=pfamazon01-20 Prerequisities: Contents:
  9. Greg Bernhardt

    Classical Classical Electromagnetism by Jerrold Franklin

    Author: Jerrold Franklin Name: Classical Electromagnetism Amazon url: https://www.amazon.com/dp/0805387331/?tag=pfamazon01-20 Level: First year graduate course text. User comments: Meir Achuz This book is on the level of Jackson, but with the readability of Griffiths. It has...
  10. ssamsymn

    How to Prove the Classical Angular Momentum Commutation Relation?

    [Li,Lj]=εijkLk how can I prove this expression classically?
  11. J

    Feynman's Nobel classical electrodynamics action

    In his Nobel lecture Feynman describes an electrodynamic action between a set of particles (equation 1, one third way thru lecture): http://www.nobelprize.org/nobel_prizes/physics/laureates/1965/feynman-lecture.html The action is in 4-vector form. I wonder if someone could do me a favour and...
  12. Z

    Classical vs. Quantum interpretation of spin 4-vector

    I have a few basic questions about the Pauli-Lubanski spin 4-vector S. 1. I've used it in quantum mechanical calculations as an operator, that is to say each of the components of S is a matrix operator that operates on an eigenvector or eigenspinor. But my question is about the utility of S...
  13. B

    Physics Dilemma: I want to be a physicist, but I'm mediocre in classical mechanics

    Hi everyone. I'm having a little crisis here. I'm really really good in math (I'm doing calculus right now, and it's a breeze), but classical mechanics are giving me a hard time. I'm also doing general chemistry right now and I find it fun and easy as well. Basically, the more abstract...
  14. S

    Postulates of Classical Statistical Mechanics

    can someone please explain "Postulates of Classical Statistical Mechanics" , "priori probability" , "equilibrium" ..i m a post graduatation student .and in physics these chapters are seem very difficult i need some step by step explanation ..
  15. S

    Classical Mechanics-Inclined plane tricky problem

    Homework Statement An inclined plane is given , inclined by the angle β.A small object with a given mass m is placed at the top.What distance and in what time will it go if the friction coefficient goes by the law mu=bx, where b is a constant and x is the distance that the object has...
  16. A

    A Quest to Perfectly Understand Classical Mechanics

    Hi, I'm currently a sophomore at college trying to perfect his understanding of classical mechanics. I finished Taylor's book a while ago, but now once again realized that I still don't understand mechanics all that well. So, I'm going to start from scratch. And dig deep, questioning...
  17. G

    Additional problems in Classical Mechanics

    Hello, Since I cannot post this in the "Learning Materials" forum, I thought I'll just post it here. I am a first year Physics/Biology major, and I am currently studying a course in classical mechanics. My problem is that I do not seem to find high level problems in mechanics anywhere online...
  18. T

    Lagrangian density for a complex scalar field (classical)

    Hi. Let's say we have a complex scalar field \varphi and we separate it into the real and the imaginary parts: \varphi = (\varphi1 + i\varphi2) It's Lagrangian density L is given by: L = L(\varphi1) + L(\varphi1) Can you tell the argument behind the idea that in summing the densities of...
  19. C

    How Is Force Exerted by a Classical Particle in a Box Calculated?

    Homework Statement how can we find the force particle exert on the walls for classical particle which is the infinite quantum well of length L and particle mass is m? Homework Equations E=h^2 pi^2 n^2 / (2ml^2) for quantum The Attempt at a Solution and F = -dE / dL = h^2 pi^2 n^2...
  20. Barnak

    Gravitation Lagrangian in classical form

    I'm trying to express the classical gravitation Einstein-Hilbert lagrangian into some nice way, and I'm having a problem. It is well known that the Einstein-Hilbert action is the following (I don't write the constant in front of the integral, to simplify things) : S_{EH} = \int R \, \sqrt{-g}...
  21. H

    Canonical ensemble, entropy of a classical gas

    Homework Statement I have the equation Z=1/N!h3N∫∫d3qid3pie-βH(q,p) How can I get the entropy from this equation assuming a classical gas of N identical, noninteracting atoms inside a volume V in equilibrium at T where it has an internal degree of freedom with energies 0 and ε What...
  22. C

    A few questions from an already graded test on classical forces

    Homework Statement A mass m is suspended from a spinning rod by two massless cords of equal length L, held fixed at points along the rod D meters apart. It is observed that m moves in a circle with a tangential velocity v, find the ratio of the tensions between the two supporting cords...
  23. J

    Classical physics vs quantum physics

    Why do we say that classical physics is a lot different from quantum physics? The laws that determine the macroscopic world should be derivable from quantum laws. So in a way the Newtonian or classical laws are basically quantum laws( maybe a bit approximated) So why differentiate between...
  24. O

    Impact parameter dependence of classical scattering angle

    Homework Statement The problem is to get the classical turning point as a function of the impact parameter b for the Lennard-Jones potential. Homework Equations The Lennard-Jones potential is given as [itex]V(r)=4\epsilon[(\frac{\sigma}{r})^{12}-(\frac{\sigma}{r})^6][\itex]. The effective...
  25. S

    How to imagine a classical phase space for N particles?

    Classically a single particle will have 3 position coordinates and 3 momentum coordinates, and so it "exists" in a 6-dimensional phase space and moves around this space in relation to time (known as the phase trajectory). However I've read that when we have N classical particles, their...
  26. A

    Under what conditions does quantum mechanics reduce to classical mechanics?

    Homework Statement "At 310K thermal energy kT=4.28x(10^-21). Use the equation you derived above (which I worked out to be E=(n²h²)/(8mL²) )to determine under which conditions quantum mechanics reduces to classical mechanics." The hint was that "you need to find the value of mL² for which change...
  27. D

    Where to Begin with Classical Mechanics Problems?

    http://img27.imageshack.us/img27/1158/physich.png I really do not see how I can solve the problems. All I need is hint how to start the problems most of the time. I know I should read more, ask questions to teacher, etc. I have 5 classes, 5 homeworks to do every week. On top of that I have...
  28. H

    Classical works in physics for the autodidact

    Hello, I read a lot of autodidacts/self learners posts on here on good materials to begin with. Right now I am reviewing all of high school math and working through lots of problems to secure my math foundations. Afterwards I'd like to start working through some of the more classical works...
  29. N

    Testing How to Study for a Classical Mechanics Exam?

    I am writing to ask you for advice on how I should go about studying for the upcoming Classical Mechanics exam. I would only be satisfied to get an A, nothing less, so I am willing to work hard. Although I realize that preparing for the midterm exam begins when the semester starts, I don't feel...
  30. T

    Music How Have Composers Used Mathematics in Classical Music?

    I was wondering what classical composers, modern, and not used math to write compositions, I am aware of a couple of examples, including the 12 tone system. What has anyone else come up with? I have heard, that Bach's compositions are "mathematically perfect" though, I have no idea what that...
  31. F

    Does QED reproduce classical electrodynamics? How?

    It seems to be a dumb question. But I haven't seen anyone making this connection between QED and Classical EM in a complete fashion. The only example I've seen is the connection between two particle scattering amplitude calculation in QED (Peskin's book), and the amplitude of a particle...
  32. D

    Quantum physics vs classical physics

    what i want to know is why classical physics does not work on quantum level particles? what are the consequences of using classical physics on quantum level particles?
  33. D

    Why classical physics work in quantum mechanics

    im finally writing my conclusion for my Extended Essay. The extended essay (EE) is a mandatory core component of the IB Diploma Programme. It is a research paper of up to 4,000 words giving students an opportunity to conduct independent research or investigation on a topic that interests...
  34. D

    Classical physics: Motion question

    I just want to know if I'm thinking about these the correct way. Something is put on a track of length d where it slides down and at a certain point, the time is taken given t. Acceleration is constant. How long do you need to make the track for the time to be 2t. Initial velocity is...
  35. C

    Classical Mechanics, Double Star, Find the ratio of the masses

    Homework Statement The two components of a double star are observed to move in circles of radii r1 and r2. What is the ratio of their masses? (Hint: Write down their accelerations in terms of the angular velocity of rotation, ω.) Homework Equations Newton's 2nd law? law of...
  36. N

    Classical optics: Lambda-quarter plates

    Hi Say I have a magnetic field point in some well-known direction, and I have linearly polarized light incident in that direction. I want to convert my π-polarization to σ-polarization, so I find my lambda-quarter plate. However, how do I know whether it produce σ+ or σ-? Do they come with...
  37. F

    Classical Mechanics - Learning Guidance

    Hi I am looking for some advice. Would like a bit of guidance into any good resources and specific maths/physics disciplines to study in relation to what I would term 'sports classical mechanics'. Not looking for any university or specific course references at the moment unless you think...
  38. M

    Equation 1.51 in Goldstein's 3rd edition of Classical Mechanics

    I am trying to self-study some physics, and have gotten a little stuck in one of Goldstein's derivations. The dot-notation is still confusing to me. Equation 1.51 in Goldstein states that \frac{\partial \vec{v_i}}{\partial \dot{q_j}} = \frac{\partial \vec{r_i}}{q_j} I do not understand how...
  39. S

    Goldstein classical mechanics discrepancy?

    Homework Statement In Goldstein's text, he discusses conservative fields and then states that "friction or dissipative forces are never conservative since F dot ds is always positive." From what I recall, most frictional interactions occur in directions opposite the displacement, and would...
  40. S

    Super-hard differential equation in classical mechanics problem

    Homework Statement A particle of mass m moves in the following (repulsive) field U(x) = α/x², α > 0, with α a constant parameter. Determine the (unique) trajectory of the particle, x(t), corresponding to the initial conditions of the form x(t0) = x0 > 0, x'(t0) =...
  41. ShayanJ

    Classical physics and Group theory

    You know that the current theories in particle physics are expressed in the language of group theory and the symmetries of the theory describe its properties I don't know how is that but my question is,can we do that to classical physics too? I mean,can we use maxwell's equations and derive a...
  42. Physics Monkey

    Entanglement, classical correlation, and questions about superluminal signalling

    The quantum physics forum is full of questions about why entanglement can't be used to signal superluminally. My question is this: do these questions usually still make sense if we replace entanglement by classical correlation? For example, I can send Alice and Bob each a random bit but with...
  43. A

    Derivation in classical physics

    Hi, I am getting started on analytical mechanics but need some help understanding some of the things that is said in my book. Therefore I have attached a section of the derivation and for that I have some questions: 1) First of all the author says that in cartesian coordinates, i.e. (x,y,z)...
  44. S

    Classical Mechanics: Forces on two cylinders

    Homework Statement Two identical, uniform and rigid cylinders, each of radius a and mass m, are laid horizontally at rest inside a rigid box of width w. There is no friction acting at any of the four contacts. i) Draw a diagram for each cylinder showing the forces acting on it alone...
  45. S

    Angular momentum of this classical electron?

    Homework Statement a classical electron moves in a circle of radius 0.5mm with velocity 20ms-1 what is the value of the quantum number L which gives a quantised angular momentum close to the angular momentum of this classical electron? Homework Equations L=r * p The Attempt at a...
  46. A

    What Are the Hidden Predictions of QED in the Classical Limit?

    I recently read somewhere that the predictions of QED in the classical limit haven't been nearly as well-studied as, say, the classical limit of quantum mechanics. This is a little confusing: doesn't QED just reduce to Maxwellian electrodynamics with additional small nonlinear quantum...
  47. A

    Classical Charged Particle backward in time/Feynman Stueckelberg interpretation

    Hello Friends, I was trying to illustrate intuitively (rather than rigorously) the equivalence of negative energy solutions moving backward in time to be equal to a particle of opposite sign a la Feynman. I begin with a quote from the maestro himself "A backwards-moving electron when...
  48. L

    A classical wave as sum of many coherent quantum wavelets?

    Merzbacher - Quantum mechanics, second edition, chapter 1 page 4,writes: "A classically observable wave will result only if the elementary wavelets representing the individual quanta add coherently. " Is this analysis correct? The context is the following: We may read (1.3) [ë =...
  49. V

    Research Papers in classical mechanics

    Please tell me a website where I can find latest research papers in classical mechanics.
  50. Z

    Classical Potential Barriers and their Resultant Forces

    So, I'm writing a code to solve Hamilton's equations for a free classical particle incident on different potential barriers in 1D. I'm eventually going to be using this for some sort of semi-classical analysis, but for now have to get this working as expected. I first tested it using a...
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