What is Quantisation: Definition and 28 Discussions
Quantization, involved in image processing, is a lossy compression technique achieved by compressing a range of values to a single quantum value. When the number of discrete symbols in a given stream is reduced, the stream becomes more compressible. For example, reducing the number of colors required to represent a digital image makes it possible to reduce its file size. Specific applications include DCT data quantization in JPEG and DWT data quantization in JPEG 2000.
Suppose we have a photon in superposition of reaching detector A or detector B. Then, in Everett-worlds, both outcomes (detection at A/detection at B) are true, but in different worlds (##|U_x\rangle|x\rangle##). But if we observe the law of conservation of energy and the quantisation of the...
Homework Statement
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An analogue signal is uniformly distributed from -4,4. Design a uniform quantiser with minimum number of bits per sample, such that the signal to quantisation noise is at least 10dB.
How many bits are required per sample?
What is the mean square (quantisation) error for...
Light consists of quanta(small packets of energy). Then how do we explain doppler effect of light the same way we do for sound? What is the valid explanation of light doppler effect which is consistent with the photon picture?
Homework Statement
In the book "Quantum Optics" written by Scully and Zubairy, there is an equation (1.1.5). The equation is presented directly and not explained how to be deduced. The content is as follows.
Homework Equations
The Attempt at a Solution
I know the solution should have the form...
Why is E directly proportional n squared when we consider particle in a box but when we consider electron in a hydrogen atom its E inversely proportional n squared.
I have just gone through chapter 14 on the QFT for the gifted amateur by Lancaster and Blundell. Quantising the electromagnetic field results in the Hamiltonian:
$$\hat{H}=\int d^3p \sum^{2}_{\lambda=1} E_p \hat{a}^\dagger_{p\lambda} \hat{a}_{p\lambda}$$
with ##E_p=|p|##. In this post ##p##...
I was wondering if the diffraction pattern through a single slit could be explained as a consequence of quantisation of momentum transverse to the main direction of travel. I know that momentum gets quantised on confinement so does the confinement in a slit quantise the momentum so that only...
Homework Statement
This problem is a continuation of the problem I posted in this thread: https://www.physicsforums.com/threads/equation-of-motion-from-a-lagrangian.867784/
(We have set the mass per unit length in that question to ##\sigma## = 1 to simplify some of the formulae a little.)...
The solution to the One-Dimensional Time-Independent Schrödinger equation for an electric potential field of constant value is an exponential function, and its energy eigenvalue can have any value, it is not quantised.
Are there any other potential field functions whereby the energy of the...
The quantum Klein-Gordon field ##\phi({\bf{x}})## and its momentum density ##\pi({\bf{x}})## are given in Fourier space by
##\phi({\bf{x}}) = \int \frac{d^{3}p}{(2\pi)^{3}} \frac{1}{\sqrt{2 \omega_{{\bf{p}}}}} \big( a_{{\bf{p}}} e^{i{\bf{p}} \cdot {\bf{x}}} + a^{\dagger}_{{\bf{p}}}...
Hello,
I can't understand where this formula ((8.5), Rössler, Solid State Theory, Springer) comes from (see attached file).
The label l stands for the electrons positions and c and c dagger are the free electron creation and annihilation operator. This expression is used to write the linear...
The title above give my name. I am a pure maths PhD with an interest in physics and geometry. I am currently studying physics for fun and I am very interested in current progress.
I am especially interested in quantisation of space time, holographic theories and dualities.
Regards
John
Homework Statement
Quantisation means charge always exist in integral multiples of magnitude of charge of electron and to put it mathematically we say q = ne, where n is an integer 1,2,3,4 ... -1,-2,-3,... etc. Numerous print and web materials say that charge cannot exist in fraction or...
In QFT the background field is 2nd Quantised as opposed to remaining classical
What exactly gets 2nd Quantised in the WDW Equation
Geometry of SpaceTime
Or
Matter Energy
Or
Gravity
Or
Some combination of the above, if so what is the combination
This article on 4th Quantisation
http://arxiv.org/pdf/1304.0259v3.pdf
Takes the WDW equation to 3rd Quantisation to understand the spawning of universes from false vacua from a Multiverse
And Furthermore goes to 4th Quantisation to investigate multiverse interactions
Is this the best way to...
I'm a bit confused with this concept of quantisation axis. ##|+\rangle## and ##|-\rangle## spin. And operators ##\hat{S}^+=\hat{S}_x+i\hat{S}_y## and ##\hat{S}^-=\hat{S}_x-i\hat{S}_y## are rising and lowering operator of spin projection. Why z-axis. How is measured that?
Not sure if this should be in the quantum or classical forum, but as gravity has not been shown to be quantised yet...
My question is this, seeing as there is no quantised theory of gravity yet, that would mean that if a single atom of say hydrogen residing on the surface of the Earth was moved...
Homework Statement
The ionisation energy of a single hydrogen atom is 13.6 eV. The application of Bohr quantisation to the hydrogen atom results in the stationary states having discrete energies given in terms of a positive integer n according to
E=-RB/n2
where RB is the Rydberg...
Homework Statement
Explain in words the importance of pi(x) and phi(x) for the canonical quantisation programme.
Homework Equations
none
The Attempt at a Solution
This is a past paper exam question, which I would appreciate some clarity on. As a proposed suggestion:
pi(x) and...
Homework Statement
List out the evidences of quantisation of charge.
Homework Equations
The Attempt at a Solution
Like, what evidence is there for charge quantisation?
Dear all,
I'm reading Polchinski's text of string theory. In section 1.3, he demonstrates how to quantize the free point particle in the light-cone gauge. I'm confused with a step in the follows.
Begin with the action,
S = \frac{1}{2}\int d\tau\left(\eta^{-1}\dot{X}^\mu\dot{X}_\mu -...
Particle energy and momentum are obtained from the wave function as eigenfunctions of the spatial and time derivative operators.
Is this true of ElectroMagnetic fields? In other words are E and B eigenfunctions of a differenial operator? I can see that E and B could be interpreted as a...
A hydrogen filled bulb emits discrete light wavelength, but why is it that a normal bulb emits the entire spectrum, i.e. continuous spectrum? I'm sure the gas in the bulb also emits discrete spectrum, since there's nothing so special about hydrogen.
Hi all,
I'm trying to follow somebody's derivation for why the existence of magnetic monopoles would demand electric charge was quantised (from http://forum.physorg.com/quantization-of-electric-charge_385.html . However I'm having problems with one of their steps.
Halfway through it gets to...
Ok, I am reading this part in my book that tries to explain the reason for energy quantisation. It first shows that the time independent S-eq is a an eigenvalue equation, and writes it as: d^2/dx^2 Y(x) = 2m/h^2 [V(x) - E(x)] Y(x) where i use Y instead of "Psi". It gives a graph of an arbitrary...
Friends,
I am trying to ascertain who first postulated that the electron had a charge that was quantised.
I know all about Millikan's experiment. It's fairly clear he knew what he was looking for but I want to know basically who told Millikan.
It's for a simple backround piece for a...