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.
I've read a couple of places that a hamiltonian can be a tool used in classical mechanics and that it's eigenvalues are useful pieces of information. I've tried finding info on the subject matter, as I want to see something that actually requires linear algebra, or at least makes good use of it...
Homework Statement
Consider a transformation to a relatively uniformly moving frame of reference, where each position vector ri is replaced by rli = ri − vt. (Here v is a constant, the relative velocity of the two frames.) How does a relative position vector rij transform? How do momenta and...
Hello Physics Forum! I have a question:
The problem: For a lightly damped oscillator being driven near resonance in the steady state, show that the fraction of its energy that is lost per cycle can be approximated by a constant (something like 2pi, which is to be determined) divided by the Q...
Wieland gave his ILQGS talk yesterday, 16 September. Audio and slides are on line.
Title: Covariant loop quantum gravity: Its classical action, phase space and gauge symmetries
http://relativity.phys.lsu.edu/ilqgs/wieland091614.pdf
http://relativity.phys.lsu.edu/ilqgs/wieland091614.wav
The...
Homework Statement
In certain situations, particularly one-dimensional systems, it is possible to incorporate frictional effects without introducing the dissipation function. As an example, find the equations of motion for the lagrangian ##L = e^{γt} (\frac{m\dot{q}^2}{2} - \frac{kq^2}{2})##...
I'm currently going over some mechanics notes and am confused about the following situation:
In the book I'm looking at, it describes two particles absent of external forces, only exerting a force on each other. In deriving a potential energy equation for the two, it goes on to say that if the...
Homework Statement
A puck of mass m is kicked up an incline (angle θ) with initial speed vo. Friction is not present, but air resistance has a magnitude of f(v) = cv2. Solve Newtons second law for the pucks velocity as a function of t on the upward journey. How long does the journey last...
Homework Statement
Hello, i have the following task, which should actually not be too hard, but for for some reason i cannot figure out the answer.
Consider an Object with 1 kg mass in 3D space with coordinates \vec r = [x(t), y(t), z(t)]. Like Shown in the attachment, z:= e^{ax} and...
http://i.imgur.com/GP6QorG.jpg
I don't follow the integration in it.
I'm assuming Fx(x,0) and Fy(1,y) are the partial derivatives of F with respect to x and y, respectively, but given that, I can't seem to get my head around the result where the partial with respect to x is Fx = (x, 0) instead...
Good morning!
I want to show you a few exercises given to me by my Physics teacher as an additional task. I'm aware that for some of you they may seem trivial, but I found it hard to face them because of them being full theoretical, with no actual data given. Mind that I'm only 15 :(. I'd love...
The only force really considered in classical mechanics is gravity. And yet, we often have problems involving collisions and friction, which are intrinsically electrical phenomena, and thus outside the scope of classical mechanics. We have laws such as conservation of momentum which is used for...
Hello, i am not an expert in physics (i am a computer scientist) but i have a lot of interest in physics, still there are some questions that i can't seem to answer given my limited amount of knowledge in physics (i had only 1 classical mechanics subject in university, although i try to learn a...
As far as I can understand, quantization of a system is to take poisson brackets to commutators. i.e.\{something\}\to[something].
However, normally in a textbook, quantization of a system only involves commutation relations between generalized coordinates and generalized momentums. for...
(I am referring to section 3.1 in Burkhardt's "Foundations of Quantum Physics", if you happen to have the book.)
In that book it's pointed out that the apparent contradiction between the pdf's of the QM ground state solution to the harmoinc oscillator with its classical conterpart (at the...
Homework Statement
Let's assume that the classical ideas of space and time are correct, so that there could only be one frame, "ether", in which light traveled with same speed in all directions.
Assume that the Earth's speed relative to the ether frame is our orbital speed around the sun...
Hello,
I read the Feynman's QED book, where I learned that a photon has a intrinsic property called frequency. This property affect, for example, the interference profile when we have a lot of photon together. Ok.
Now, thinking on an conventional antenna. When we have a 100kHz signal on...
Homework Statement
A small sphere, with initial temperature ##T##, is immersed in an ideal Boltzmannian gas at
temperature ##T_0##. Assuming that the molecules incident on the sphere are first absorbed and then re-emitted with the temperature of the sphere, determine the variation of the...
Homework Statement
Greetings! I am reading section 2.8 of Jackson and trying to understand how completeness relation was derived.
It starts with the orthonormality condition:
∫U_N ^*(ε) U(ε) dε =δ_{nm}
We can represent a function as a sum of orthonormal functions if N is finite...
Hello everyone,
I have to choose a book for classical mechanics. After reading a lot through the forum, I find that the book by A.P French and the one by Kleppner is a good buy for my undergraduate course in classical mechanics. Also, is the book by Mary Boas for Mathematical methods a good...
How does one think about, and apply, in the classical mechanical Hamiltonian formalism?
From the Lagrangian perspective, Noether's theorem (in 1-D) states that the quantity
\sum_{i=1}^n \frac{\partial \mathcal{L}}{\partial ( \frac{d y_i}{dx})} \frac{\partial y_i^*}{\partial \varepsilon} -...
The relativistic mass-energy-momentum relation m^2=E^2-p^2 predates quantum mechanics by a couple of decades. It allows a particle such as an electron to have a negative mass-energy. If it's 1906, and you're shown this equation, do you have any way to show that the negative-energy solutions...
Homework Statement
If A is a time dependent vector, calculate
[itex] \int_{t1}^{t2} dtA(t) \times \frac{d^2A}{dt^2} [\itex]
Homework Equations
The Attempt at a Solution
I think we should somehow relate it with something's derivative.
\int_{t1}^{t2}A(t)\frac{d^2A(t)}{dt^2}dt=...
I am working through Leonard Susskinds 'the theoretical minimum' and one of the exercises is to show that H=ω/2(p^2+q^2).
The given equations are H=1/2mq(dot)^2 + k/2q^2, mq(dot)=p and ω^2=k/m.
q is a generalisation of the space variable x, and (dot) is the time derivative if this helps...
Hi all,
So basically I would like to know if it's possible. I'm a first year undergrad and I did classical mechanics first semester but I didn't do that well in it. So I'm not sure if I need to use my holidays to catch up with it before we do Electromagnetism during second semester. I would...
Homework Statement
Suppose you want to make a velocity selector that allows undeflected passage for electrons whose kinetic energy is ##5x10^4eV##. The electric field available to you ##2x10^5V/m##. What magnetic field will be needed?Homework Equations
##u=\frac{E}{B}##
u is velocity, E is the...
I have taken a look at Kleppner and Kolenkow and that seems around the right level of difficulty but I was wondering if there were any other books that worked well alongside the Walter Lewin lectures on OCW. Would K&K?
Also, where does K&K go up to? Does it include all undergraduate...
I have been working through the IIT Madras Lecture Series on Classical Mechanics on Youtube. They are excellent so far but I was wondering if anyone could point me towards either some problems designed for the course specifically or some other problems that work well with it. I would like to...
I'm studying classical mechanics and I'm stumbling in the quantity of differential identities.
Being S the action, H the hamiltonian, L the lagrangian, T the kinetic energy and V the potential energy, following the relationships:
But, the big question is: that's all? Or has exist more...
In classical electromagnetism, Coulomb's constant is derived from Gauss's law. The result is:
ke = 1/4πε = μc^2/4π = 8987551787.3681764 N·m2/C2
Where ε is the electric permittivity of free space, μ is the magnetic permeability of free space, c is the speed of light in a vaccuum, and 4π is...
Hello everyone!
I was reading the following review:
http://relativity.livingreviews.org/open?pubNo=lrr-2009-4&page=articlesu23.html
And I got stuck at the first equation; (10.1)
So how I understand this is that there are two variations,
\tilde{q}(t)=q(t)+\delta q(t)...
Homework Statement
Two cylinders, that can rotate around their vertical axis, are connected with a spring as shown in the picture. Moment of inertia ##J## is the same for both and they also have the same radius ##R##. Distance between the axes is ##L##. Spring with constant ##k## is ##d## long...
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...
I currently have Classical Mechanics by Douglas Gregory. I found that there are a lot of errors in his text mostly in Chapter 6 (Energy Conservation). Before I read some parts of Classical Mechanics by John Taylor but felt that he is too verbose that is why I have tried to scan other text. Any...
In QFT, all particles can be interpreted as excitations of some fundamental quantum fields in the vacuum. This is the quantum picture. But in classical world, only photons and gravitons have classical counterparts. How to explain this? The common feature of these two is that they are...
Homework Statement
I'm working (self-study) through Goldstein et al, Classical Mechanics, 3rd Edition, and I'm currently stuck on Problem 8.11:
A particle is confined to a one-dimensional box. The ends of the box (let these be at \pm l(t)) move slowly towards the middle. By slowly we mean...
Homework Statement
Around vertical axis ##O## a body on picture below (see attachment) is being rotated with constant angular velocity ##\Omega ##. On the circle we have a body with mass ##m##, that can feels no friction. Find position of that body as function of ##\phi ## and time. Calculate...
Ayo everybody, I'm doing a problem about theory of small oscilatons (see pic) and I got the following for potential energy:
V= mg(\frac{l_{2}}{2} +\frac{l_{1}}{2} \theta^{2}_{1} + \frac{l_{2}}{4} \theta^{2}_{2}) (after the aproximation cos \theta ~ 1 - \frac{\theta^{2}}{2}
Knowing that V...
Hi all,
I'm a first year undergrad and I'm currently struggling with Physics. I aced high school physics (A-levels) but for my first class test at uni, I got a 50% and now I'm not sure if I'll be able to make this to 90%+ during the second class test (in exactly a month from now).
We are...
Hello everyone,
The problem I am currently working is exactly what is given in this link: https://www.physicsforums.com/showthread.php?t=554243
However, I do not understand why we integrate between 0 and infinity. What is the motivation for doing so?
Homework Statement
Hi, this is one the problem on my homework, but I don't know where t start with this problem. We have equation of a particle's potential energy field:
U(r)=-GMm/r+Cm/r^2 C is just a constant. I need to solve for its radial motion and angular motion, then if the motion of...
I've been reading, in my own time, a first course in thermodynamics and they present a quantum treatment of statistical mechanics (discrete energy levels), but on the article for the partition function on wikipedia, I find out that there is a classical treatment of statistical mechanics as well...
Hi,
I was reading about interference patterns. I was wondering if the classical interpretation of the wavelength of the photon according to maxwell's is the actual wavelength of the photon in the wavefunction? Are the two related? Thanks!
The time has come to schedule for next semester's classes. I will be a senior in physics and choosing some electives. I am trying to decide between taking matrix theory (linear algebra) or graduate level classical mechanics. I really WANT to take the mechanics course but I feel that maybe I...
Hi All,
In the Feynman, 'sum over paths' approach to quantum field theory, we compute amplitudes, generating functionals etc by feeding in a "classical action".
By calling the Lagrangian that we feed in "classical", this mean that the fields that feature in that action are regarded as...
How is electromagnetism different from gravity in that accelerated objects radiate EM waves when accelerated in an electric field but no gravitational waves are generated when objects are accelerated in a gravity field?
Why do not planets orbiting the sun generate gravitational waves and...
Homework Statement
for particle with lagrangian L = m/2 dx/dt^2 + fx where x is constant force, what is ScL (classical action)
Homework Equations
d/dt (∂L/∂(dx/dt)) = ∂L/∂x
ScL = ∫m/2 dx/dt^2 + fx dt from ti to tf
The Attempt at a Solution
d/dt (∂L/∂(dx/dt)) = ∂L/∂x implies f =...
Homework Statement
A particle of mass m moves under an attractive central force of Kr^4 with an angular momentum L. For what energy will the motion be circular? Find the frequency of the radial oscillations if the particle is given a small radial impulse.
Homework Equations...
One page 24 of his book on classical field theory (4th edition), Landau derives the relativistic equation of motion for a uniformly accelarated particle. How does he get the differential equation that leads him to his result?
I know there are other things that fail about the rutherford atom
but as the electron is accelerating and radiating away energy it would fall into the nucleus, my question is how much energy would the electron need to gain so that the classical atom could be stable
a hydrogen atom for example
I have a disagreement with a Quantum mechanical scientist about a double slit experiment with polarizers, which gives interference or not depending on "which path" knowledge of the photon. That is alright with me, but I can calculate the same results with classical wave formula. He does not...