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.
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...
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...
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...
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...
I just thought of this. I think I know the answer to it now, but it took me a little bit of thinking. Maybe someone who teaches high school physics might find it useful.
- - - - -
I have a battery-powered toy car. I turn it on and it accelerates from speed 0 to speed 1. (I'm leaving...
Homework Statement
Suppose a block sliding on a slippery horizontal surface experiences a drag force F=-cv3/2 where c is a positive constant. At time t=0, the block is at position x=0 with initial positive velocity. Find the velocity and position as a function of time. Derive an expression for...
Hello,
this might be a trivial question for many of you.
I would like to know what are the simplest phenomena/experiments, if any, (and perhaps the first historically) that contradict the assumption that subatomic particles like electrons, protons, neutrons..., can be thought of as "small...
Homework Statement
Electrical breakdown (e.g, lightning) is caused by an avalanche process. If a free electron gains enough energy between collisions to ionize the neutral molecules when they collide with them, then those two electrons will gain enough energy between collisions to ionize the...
After taking an intersession music appreciation course, I have a new interest in music from the classical era.
Mozart's Symphony #40 in G minor is the best sound I've ever heard - period. Anyone have any recommendations for other things I should check out?
I hear it's great to have in the...
The Stefan-Boltzmann law is as follows: The energy radiated by a black body radiater per second per unit area is directly proportional to the fourth power of the absolute temperature.
Equation: I = σT^4
Is it possible to explain this law by means of classical physics only? If so...
I just transferred to Georgia Tech from Georgia State and I'm registering for classes. I ave taken Intro Phys 1 and 2, and intro to modern physics. I have math up to DE. I will be taking Classical Mechanics this semester, and am wondering if it is a good idea to take QM before completing the...
Homework Statement
Figure is attached.
In an amusement park ride called the hammer a large beam rotates in a ver- tical plane about a central pivot (see figure). Cages are attached to the end of the beam; these rotate independently. The riders are strapped to the walls of the cages. The...
Hello. I read this assertion in a book: if we take at an initial time t_0 a constant density distribution \rho(p,q,t_0)
in phase space, then this implies that \rho wil remain independent of time for all t>t_0 because by Liouville's theorem
\frac{\partial\rho}{\partial...