Classical Definition and 1000 Threads

Classical music is art music produced or rooted in the traditions of Western culture, generally considered to have begun in Europe after the fall of the Western Roman Empire in the late 5th century CE and continuing to present day. Classical music refers to Western musical traditions considered to be apart from or a refinement of Western folk music or popular music traditions. The major periods are the medieval (500–1400), Renaissance (1400–1600), Baroque (1600–1750), Classical (1750–1820), Romantic (1800–1910), Modernist (1890–1975) and Postmodern era/Contemporary (1950–present) eras. These periods and their dates are all approximate generalizations and represent gradual stylistic shifts that varied in intensity and prominence throughout the Western world.
The term "classical music" did not appear until the early 19th century, in an attempt to distinctly canonize the period from Johann Sebastian Bach to Ludwig van Beethoven as a golden age. The earliest reference to "classical music" recorded by the Oxford English Dictionary is from about 1829.European art music is largely distinguished from many other non-European classical and some popular musical forms by its system of staff notation, in use since about the 11th century. Catholic monks developed the first forms of modern European musical notation in order to standardize liturgy throughout the worldwide Church. Western staff notation is used by composers to indicate to the performer the pitches and durations for a piece of music. It includes both sacred (religious) and secular music. In contrast to most popular styles that adopted the song (strophic) form or a derivation of this form, classical music has been noted for its development of highly sophisticated forms of instrumental music such as the symphony, concerto, fugue, sonata, and mixed vocal and instrumental styles such as opera, cantata, and mass.

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  1. K

    A Non holonomic constraints in classical mechanics textbook

    I want to learn about the non holonomic case in lagrangian and Hamiltonian mechanics. I've seen that many people say that Goldstein 3rd ed is wrong there. Where should I go to learn it. My mathematics level is at the level Goldstein uses. Please help
  2. V

    Books that teach classical mechanics through a discourse method

    Books that teaches classical mechanics through a discourse method ie asking interesting questions and answering them maybe a similar one to Understanding Basic Chemistry Through Problem Solving: The Learner's Approach Book by Jeanne Tan and Kim Seng Chan. Not exactly asking numerical questions...
  3. Kairos

    I Classical Aberration Formula: Understanding & Application

    I believe I have understood the formula of aberration of light ##\tan \theta' = \dfrac{\sin \theta}{\beta + \cos \theta} \sqrt{1-\beta^{2}} ## but I wonder if the non-relativistic formula ## \tan \theta' = \dfrac{\sin \theta}{\beta + \cos \theta} ## has a physical relevance. Does this...
  4. warhammer

    Work & Energy (Question on Classical Mechanics/Slope based Problems)

    I used the Change in Kinetic Energy and equated that with the Work Done. The "Work Done" part comprises of two different functions- one is work done by Gravitational Force while the other is the work done by frictional force (or the brakes). /Delta KE (magnitude wise)= 0.5*1350* (20^2)=270,000...
  5. L

    I Help with Goldstein Classical Mechanics Exercise 1.7

    I'm trying to solve the Goldstein classical mechanics exercises 1.7. The problem is to prove: $$\frac{\partial \dot T}{\partial \dot q} - 2\frac{\partial T}{\partial q} = Q$$ Below is my progress, and I got stuck at one of the step. Now since we have langrange equation: $$\frac{d}{dt}...
  6. A

    B Is Relativity the Evolution of Classical Physics?

    Can someone please tell me what is Classical Physics? Does Kinematics in One Dimension such as in Physics textbook is considered a "Classical Physics"?
  7. Paige_Turner

    B Need a bet settled about classical momentum

    Consider a car slamming into an unyielding wall at 60 mph. Objects in the car will be slammed against the dashboard with a certain amount of force. Now, instead of slamming into a stationary wall, you slam into another car coming towards you at 60 mph. Relative speed, 120MPH. QUESTION: Will...
  8. Twigg

    A Proof of Classical Fluctuation-Dissipation Theorem

    Sorry if there's latex errors. My internet connection is so bad I can't preview. Here's the wikipedia proof I'm referring to. I'm fine with the steps up to $$W(x,0) = W_0 (x) [1 + \beta f_0 (x(0) - \langle x \rangle_0) ]$$ where ##W(x,t)## is the probability density of finding the system at...
  9. A

    I Unitary Representation of Poincaré Group: Classical Relativistic Mechanics

    This thread is a shameless self-promotion of a recent work of mine: https://arxiv.org/abs/2105.13882 In the paper an operational version of classical relativistic dynamics (for massive particles) is obtained from an irreducible representation of the Poincaré group. The formalism has kets...
  10. G

    B What Math do I need to learn best for Classical and Quantum Physics?

    I am a 14 year old who is very interested in Physics, especially astrophysics, but I don’t know exactly which math I should study in order to learn more in depth of the field. What is the best thing to learn?
  11. Kaguro

    Understanding the Differences Between Bose and Classical Gases

    In classical statistics, we derived the partition function of an ideal gas. Then using the MB statistics and the definition of the partition function, we wrote: $$S = k_BlnZ_N + \beta k_B E$$, where ##Z_N## is the N-particle partition function. Here ##Z_N=Z^N## This led to the Gibb's paradox...
  12. Feroyn

    Building a motorcycle, need classical mechanics help

    Hi! I am an engineering graduate that took my bachelor's degree in Mechanical Engineering much too long ago, but I have forgotten a lot of the classical mechanics/mechanics of materials theory that I had learned many years ago. I am building a motorcycle right now, and I want to calculate the...
  13. H

    I Time Reversal Breaking in Classical Systems

    I am looking for an example of a classical system without time reversal symmetry. I would appreciate any help.
  14. J

    A 1D transverse-field Ising model - classical vs quantum differences?

    The 1D transverse field Ising model $$ H(\sigma)=-J\sum_{i\in \mathbb{Z}} \sigma^x_i \sigma^x_{i+1} -h \sum_{i \in \mathbb{Z}} \sigma^z_i$$ is usually solved in quantum way, but we can also solve it classically - e.g. parametrize angles of spins ##\sigma^x_i = \cos(\alpha_i)...
  15. TheGreatDeadOne

    Speed of a hanging rope sliding on a nail (using energy conservation)

    I solved this problem easily using Newton's second law, but I had problems trying to use mechanical energy conservation to solve it. How I solved using Newton's second law: ##\text{(part of the rope that is on the left)}\, m_1=x\rho g,\, \text{(part of the rope that is on the right)}\...
  16. I

    Classical Reading Goldstein's Classical Mechanics as an Undergraduate

    We were prescribed Goldstein, Taylor and Marion/Thornton for our first course in analytical mechanics, and I'm about to finish up the course but I feel like I have not gotten a good physical, intuitive grasps of the concepts, so I've been trying to read the texts a bit more. Taylor and...
  17. shankk

    I Is the classical relation between energy and momentum valid in QM?

    Here we are talking about non-relativistic quantum physics. So we all know kinetic energy T = E - V = \frac{1}{2}mv^2 in classical physics. Here V is the potential energy of the particle and E is the total energy. Now what I am seeing is that this exact same relation is being used in quantum...
  18. V

    I Classical Hayden-Preskill Randomizer

    I am reading this paper: https://arxiv.org/abs/0708.4025. In section 2, they describe a classical black hole as a classical randomizer. The black hole initially is a ##n-k## bit string, and Alice sends a ##k##-bit string into the black hole. A permutation of all ##2^n## possible strings is the...
  19. wrobel

    A Something about configuration manifolds in classical mechanics

    I think it could be interesting. Consider a mechanical system A circle of mass M can rotate about the vertical axis. The angle of rotation is coordinated by the angle ##\psi##. A bead of mass m>0 can slide along this circle. The position of the bead relative the circle is given by the angle...
  20. LarryS

    Electrical Permittivity of Classical Vacuum - Physical?

    The Vacuum Permittivity of the classical vacuum seems to be for just conversion of units in Coulomb's Law, like Coulomb's Constant in disguise. Does the Electrical Permittivity of the Vacuum in classical electromagnetism have any real physical significance other than in the above context...
  21. W

    Does any classical mechanics textbook solve Kepler's Problem?

    I have several* classical physics and mechanics texts, and none solve the Kepler problem (as far as I can tell), succinctly, solving the Kepler equation, M = E - e*sin(E), for E given M and e, or more generally determining the equations of motion for an orbiting object. In fact none even...
  22. B

    Photoelectric Effect Classical Breakdown

    So I'm kind of confused about how to interpret the question and the idea of there being a small enough ##\tau## for the classical picture to break down. I started with the max KE eqn: ##KE_{max} = E_{incoming} - \phi## I suppose ##E_{incoming}## is the power (W) times time and that is also...
  23. E

    B What are your favourite classical physics puzzles?

    ^ :wink: The title is pretty self-explanatory, wondered if people would like to share some fun problems that you can snuggle up to on a cold Winter's evening? Any difficulty level, but bonus points for problems which yield to elegant and/or creative solutions! Here's an example:
  24. J

    Energy paradox in classical electrodynamics?

    Consider two massive charged objects at rest with a large horizontal distance ##d## between them (object ##1##: mass ##m_1##, charge ##q_1## and object ##2##: mass ##m_2##, charge ##q_2##). I apply a constant vertical force ##\vec{f_1}## upwards to object ##1## so that it gains an acceleration...
  25. E

    I Classical equivalent of scalar free field in QFT

    Hi there, In QFT, a free scalar field can be represented by the lagrangian density $$\mathcal{L} = \frac{1}{2}\left(\partial\phi\right)^2 - \frac{1}{2}m^2\phi^2$$ I would like to find a classical system that has the same lagrangian. If we consider the transversal motion of an elastic string...
  26. E

    Classical explanation for microwave door shielding

    What is the classical explanation for why the microwaves won't pass through the microwave door?
  27. sahilmm15

    Classical Some books on introductory classical physics

    I need some suggestions on classical physics. You can help me with some high school papers or books to get started with.Thanks!
  28. A

    How to implement a Fredkin gate in a classical network?

    Hi, I'm wondering about the Fredkin gate (controlled swap) gate, which is defined by the truth table on p54 here. I'm trying to implement it in a simple feedback network that takes the form of what can be input into this software: integratedinformationtheory.org/calculate. Any pointers would be...
  29. Frabjous

    Classical Konopinski Classical Descriptions of Motion (1969)

    Does anyone have any experience with this book? It looks interesting. See attached TOC
  30. Muthumanimaran

    I Exploring the Physics of LASER: Classical vs Quantum Mechanics

    My question is the physics behind the LASER such as stimulated emission can be only explained by quantum mechanics only. We can represent LASER as coherent state in quantum mechanics only. Then how can we say LASER can be thought of a classical light source?
  31. S

    Classical Recommend books about classical mechanics please

    Hi! i need some textbooks recommendations to learn by my self about classical mechanics in a undegraduate level. I don´¨¨t know what kind of math is required, i have knowledge about calculus by my high school classes and i learned more with the book "Calculus" by Gilbert Strang. I wait for your...
  32. H

    A Ads/cft correspondence and quantum / classical correspondance

    Hi Pf I do not know if it is only an analogy but i consider these two correspondences: I) the transformation of a quantum spin into a statistical problem by a Wick rotation. we start with a qubit evolving in time between 0 and t from S0 to St. we use a exp(iHt) operator to describe its...
  33. A

    Does a statistical mechanics of classical fields exist?

    The usual presentation of classical statistical mechanics are based on the Liouville equation and phase space distribution. This, in turn, is based on the Hamiltonian mechanics of a system of point particles. Real undulatory systems, specially non-linear ones, have to be complex to study...
  34. B

    I Interpretation of quantum theories through the interpretation of classical ones

    Perhaps the reason is that the principle of least action is elevated to a divine principle that does not require materialistic interpretation. If so, then the solution to the "secrets" of quantum theories lies in the solution of the materialistic essence of the physical magnitude of action.
  35. J

    I Born rule in classical Ising model: Feynman -> Boltzmann ensemble?

    Quantum mechanics is often said to be equivalent with Feynman path ensemble, which "after Wick rotation" becomes Boltzmann path ensemble, also called euclidean path integrals (popular for numerical calculations), or random walk/diffusion MERW (maximal entropy random walk). But Boltzmann path...
  36. E

    Classical Prerequisites for Arnold's Methods of Classical Mechanics

    I've finished with Gregory's classical mechanics and was looking for something a bit more challenging. I thought Arnold's methods of classical mechanics look pretty interesting, but it's definitely more mathematically complex than anything I would have done before, especially the bits about...
  37. MichPod

    I Quantum vs Classical multiphoton interference on double slit

    For a setup analogous to double-slit experiment, do I understand it correctly that if we have two photons, one going only through slit A and another going only through slit B simultaneously (or vice versa as they have a symmetrical wave function), then there will be no interference pattern...
  38. thaiqi

    Deriving Statistical Behavior of Particles via Classical Mechanics

    Hello, using computation simulation, can the statistical behavior of many particles be derived through deterministic classical mechanics?
  39. S

    Classical mechanics -- Equations for simulating the motion of a body

    Hello forum, i want to make a samulation of a body. The body will be moved horisontal on y,x axis. I want on my simulation the body to change direction many times(for example i want to go for 10sec right and then left end right...). My question is does i need more than one differential equation...
  40. qnach

    Jackson Classical Electrodynamics: page 35 expansion of charge

    Could anyone explain how did Jackson obtain the Taylor distribution of charge distribution at the end of section 1.7 (version 3)?
  41. BWV

    Music Longest piece of classical music changes chords today

    the d# a# e chord held since 2013 will change today to g# e. The next chord change is February 5, 2022. The piece will end in 620 years on Sep 5, 2640 https://www.aslsp.org/de/ https://en.wikipedia.org/wiki/As_Slow_as_Possible
  42. rad1um

    Stability of Classical Heisenberg Spins (Equation of Motion)

    Consider the classical Heisenberg model without an external field which is defined by the Hamiltonian: \mathcal{H} = -\sum_{ij} J_{ij} \vec{s_i}\vec{s_j} where J_{ij} > 0 describes the coupling between the spins \vec{s}_i \in \mathbb{R}^3 on some lattice. (Is there a way to use tex...
  43. thaiqi

    Are there articles on Classical computation of the Photoelectric Effect?

    photoelectric effect is now explained in quantum idea. Why the classical model fails? Are there articles computing it in detail using classical model?
  44. Another

    Can We Cancel the Derivative of dt in These Equations?

    problem in this book : classical mechanics goldstein Why can we cancel the derivative of dt from these equations? e.g. ##\frac{d(x)}{dt} + \frac{b sin\theta}{2} \frac{d(\theta)}{dt} = asin\theta \frac{d(\phi)}{dt}## ## x +\frac{b \theta sin\theta}{2} = a \phi sin\theta ## because I think...
  45. Diracobama2181

    Classical Canonical Partition Function in Two Dimensions

    For a single particle, $$Z=\frac{1}{h^2}\int_{-\infty}^{\infty} e^{-\beta \frac{P^2}{2m}}d^2p \int e^{-U(r)}drd\theta= \frac{1}{h^2}(\frac{2\pi m}{\beta}) 2\pi [\int_{0}^{r_0}e^{U_0}dr+\int_{r_0}^{R}dr]$$ $$ =\frac{1}{h^2}(\frac{2\pi m}{\beta}) 2\pi [e^{U_0}(r_0)+(R-r_0)]=\frac{\pi...
  46. C

    Classical Predictions of Scattered Radiation

    I am currently reading the third edition of Modern Physics by Serway/Moses/Moyer and this quote, in reference to the Compton Effect, seems to conflict with various other online sources I have checked. I understand that the classical description does not give accurate predictions of what actually...
  47. Ssnow

    I Quantum spaces without classical counterparts?

    Hi to all members! From few days that I am thinking on this question: there are finite-dimensional spaces that are quantum spaces (models for QM) but without the classical counterpart in classical mechanics ? For example I know that entanglement have not a ''clearly'' classical counterpart ...
  48. Demystifier

    Classical Classical electrodynamics for high-energy physicists

    I've just found a recent very interesting and very modern textbook on classical electrodynamics. It starts with special relativity (rather than electrostatics) and contains a lot of high-energy topics, including renormalization (within classical realm), massive vector fields, gravitational...
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