Quantization Definition and 292 Threads

Use the Bohr quantization rules to calculate the energy levels for a harmonic oscillator, for which the energy is p²/2m + mw²r²/2; that is, the force is mw²r, where w is the classical angular freq of the oscillator. Restrict yourself to circular orbits. So far I have that mvr=nh\, w=v/r, and...

Quantization and fluid mechanics?? Cant quantum field theory be applied to releativistic imcompressible fluids? cant the velocity vector field be quantized? will the pressure of the fluid play the role of the 4th component of the four vector? what would be the corresponding quanta? (I know...

Mass Quantization! Homework Statement Elementary particles seem to have a discrete set of rest masses.Can this be regarded as quantization of mass? Homework Equations The Attempt at a Solution No,the rest masses are not found to be integral multiple of some fundamental mass unit...

i understand that adding heat to an atom will cause the electrons to populate higher energy levels... but apparently doing work will cause the energy levels themselves to change (increase i guess?) Is this true and if so why?! Thanks!

This question deals with the Wilson-Sommerfelt quantization rule: (integral) Pdq = nh The first part of my question asks you to derive Bohr's quantization condition from this, with the hint that angular moment does not depend on the angle. That part I got. The second part asks, in...

Photon Question-Energy Quantization Question---please help! This is a somewhat simple question I'm just unsure what relations to use. I found an equation relating number of protons to power and frequency but I'm not sure how to apply it to this case. EQUATION? Power = energy per unit time...

When quantizing a static force field, say a Coulomb field, we get off mass shell, virtual particles and we say they transmit the force between two charges. They say the exchange of particles produces a force. It's a very profound and important concept in physics. But then, as I read many...

Write momentum, kinetic and potential energy, and two particle interaction in second quantization. That is the question that I need to answer for my exam, but I don't have any idea what second quantization is, except that you can solve harmonic oscilator by using ladder operators. I can't find...

acceleration quantization ?? If x \Psi (x,t)=x \Psi(x,t) and p \Psi (x,t)= -i\hbar \partial _{x} \Psi (x,t) then should it be a \Psi (x,t) = \dot p \Psi (x,t)= \hbar ^{2} \partial _{xt} \Psi (x,t) using usual QM So, the direct quantization of motion equation (constraint) should...

Can we apply 'Quantization' only from motion equation ?? Supposing you have the equation of motion (in terms of momenta and position) F(\dot p_{a} , q_{a})=0 then can you obtain the 'Quantum analogue' without the intervention of the Lagrangian ? and another question could we regard...

The “math kids” are hard at work. http://arxiv.org/PS_cache/arxiv/pdf/0705/0705.3892v1.pdf Spin foam model from canonical quantization Sergei Alexandrov 26 may 2007 ----------- A quick search of dual 4-simplex found this supplementary information...

If I accelerate a charge, EM radiation is emitted. For a simple dipole model, the radiation propagates outward along a torus shape (see Griffiths, Intro to ED, 3ed., fig 11.4) - the acceleration field, with power according to Larmor formula. Since EMR is quantized, in what way is the described...

I am obtaining data with a sample rate of 6250 samples/second on a digital oscilloscope. Ideally, I am obtaining a sinusoid output through a system from a sinusoid input. My expected results through the system are lower in amplitude than I am actually recording. I have some reasons for why...

Hi, The energy of the quantum mechanical harmonic oscillator is proved to be quantized after solving the Schrodingers equation which leads to Hermite equation and discovering that normalizable solutions of the wavefunction exist only for a discrete spectrum of energy. When the...

Hi, I am confused about the following, I was hoping someone could help: The context: Polchinski Ch. 4.2, specifically equations 4.3.1a-c I am verifying the BRST invariance of the bosonic string action (after one has integrated out B, and the weyl ghost),, I notice that one must use the...

From what I have been reading, the reflection of light from an object, like th eyellow color of sulfur is the same phenomenon as Rayleigh scattering. It seems that the electrons receive the incoming photon and are raised to a higher "virtual energy state." When they return to the ground state...

I have been reading some on QM and its quantization of energy and angular momentum (is this the same as spin?). But something I do not understand is the actual process of quantizational movement (which is tied to the quantization of energy). I can't understand how a subatomic particle, the...

How would you go about finding the energy for "the particle in a box" when the particle is relativistic? Since the energy is no longer p^2/2m, then the general quantization won't apply. I know that the two principles that still apply even when a particle is relativistic are: \lambda =...

You can define angular momentum for a free particle, with respect to another particle? i.e. L = v x r? This kind of angular momentum, would it be quantized? thanks Laura

"Brute force" quantization.. Let's suppose we have the "Equation of motions" for a particle: F(y'',y',y,x)=0 my question is if exsit a "direct" method to apply quantization rules..for example simply stating that: F(y'',y',y,x)| \psi (x) >=0 or something similar. - I'm not...

I have this doubt..quantization in momentum space using G(p) as the Fourier transform of the wave function was not common (at least when i studied Q. Physics) my doubt is, if we have that: x |G(p)>=i \hbar \frac{ \partial G(p)}{\partial p} But..what would happen if we apply: \dot...

In J.W. van Holten's essay Aspects of BRST Quantization ,hep-th/0201124, he begins (Section 1.1) with the free relativistic particle. In order to derive the dynamics from the action principle he introduces an auxiliary variable: a bit later he notes I thought I was really familiar with...

Let be the Lagrangian of a particle: L(q,\dot q,t) my question is if we can get its quantizied version in the form: p\dot q-L(q,\dot q,t)| \Psi>=E_{n}|\Psi > of course we know how to quantizy the Momentum operator the question is..¿how do we quantizy the "celerity" \dot q...

I see in many textbooks that all authors start field quantization with EM field confined in a cube of finite size, certainly some B.C. is imposed, usually periodic B.C., finally the cube goes to whole space. I have some questions on this procedure: 1, Is periodic(or other) B.C. reasonable...

Why the name "Second Quantization"? Hi all, The title said it all. My question is: How is one to interpret the name second quantization ? Which specifically is quantized twice ? Best Wishes DaTario

i have read through a mathematical description of the quantization of the electric field through the simple harmonic oscillator raising/lowering operators. what is the physical interpretation and justification for this? what if one assumes that photons do not behave like simple harmonic...

let,s suppose Bohmian mechanics was true then we would have trajectories in the form: m\frac{d^{2}x}{dt^2}=-\nabla(V+U_{b}) (1) U_{b}=-\frac{\hbar^2}{2m}\nabla^{2}\psi being psi the solution to schroedinguer equation...but the trajectories in (1) comes from the Hamiltonian.. H=H_0+U_b...

In his book Lectures on Quantum Mechanics, Dirac gives his way of quantizing system with contraints. I do not understand the use of weak inequality in some equations. C \approx 0 What is that for?

Hi, I am currently trying to read Chapter 2 Peskin & Schroeder (PS) QFT. There are basics questions that bugging me so much. 1. The road from classical particle to QF. So particle in classical mech is discrete right, and we take a continuous aproach to make it into classical field...

Since energy only exists in quanta, does this mean mass is also quantized according to einstein's famous equation?

Quantization of energy... We say that electrons have set energy levels, and certain energies they cannot possesses whilst in a certain atom. Is it still possible to produce photons / EM waves of any energy we desire? I mean, by looking at the equation E = hf it would appear we can - if we put...

I read about it in the web,it,s suosed to be a quantizaton not nvolving lagrangians or Hamiltonians..could someone give me a link about dynamical quantization?..thanks.

Are there any systems in CM where quantization of energy is predicted?

This semester I took a course in Quantum Field Theory. It is difficult (the professor assumes you know everything) and I have so many questions... Starting with a lagrangian density, I was told that canonical quantisation is a procedure where we impose the usual commutation relation between...

This is why electric charge is quantized. See the zip-file if this word-doc regards marlon

i have drawn an analogy with the quantization of radiation(EM).the motivation behind this thought was "what is the most elemetary particle?"u may say quarks but i can divide it further if i have high energy particles,so then where is ending for this?i thought it's better not end up in point...

The quantum theory of field is sometimes known as second quantization. There are two distinct types of field in physics: 1. Scalar field. 2. Vector field. For each field, a force is supposed to be associated with it. But for the scalar field, this force is zero. This zero-force...

Readers of gr-qc could have lost the preprint from Isham at quant-ph this January, Quantising on a category http://arXiv.org/abs/quant-ph/0401175 I guess it is related to his series A New Approach to Quantising Space-Time ( gr-qc/0303060 gr-qc/0304077 gr-qc/0306064 ) which is so abstruse...

In fact let us suppose we only have the classical equations of movement x´=f(x1,x2,x3...xn) but we do not have or not know a lagrangian ..how could we quantizy them?..in fact how is a quantization made if we do not have a lagrangian (or hamiltonian)?..

I would like to know how you could apply quantum gravity for Minkowskian or F.R.W metric...that is how you can get the quantum version of the metric Gab for these two problems is there a solution?..What is the method used?..thanks.

I have some soubts on quantizying theories..how many techniques are there?..is always as simple as to take p=-ihd/dx ?..or the functional derivative?..thanks.

What is called in physics the third quantization?..what is used for... and what is its math background?..