What is quantized: Definition and 142 Discussions

Quantization, in mathematics and digital signal processing, is the process of mapping input values from a large set (often a continuous set) to output values in a (countable) smaller set, often with a finite number of elements. Rounding and truncation are typical examples of quantization processes. Quantization is involved to some degree in nearly all digital signal processing, as the process of representing a signal in digital form ordinarily involves rounding. Quantization also forms the core of essentially all lossy compression algorithms.
The difference between an input value and its quantized value (such as round-off error) is referred to as quantization error. A device or algorithmic function that performs quantization is called a quantizer. An analog-to-digital converter is an example of a quantizer.

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  1. A

    Quantized Vortices in Superfluid Rotation

    I am trying to derive an expression for the number of quantized vortices created in superfluid He-4 when a container of radius R is rotated at angular velocity 'omega'. I have completed an earlier part of the question, whereby I showed that the velocity of the superfluid as a function of r...
  2. A

    Coulomb's Law/Charge Is Quantized Problem.

    Homework Statement In Fig. 21-28 (http://courses.wcupa.edu/mwaite/phy180/ch21to23gifs/ch21p32a.gif ), particles 1 and 2 are fixed in place on an x axis, at a separation of L=8.00 cm. Their charges are q1=+e and q2= -27e. Particle 3 with charge q3=+4e is to be placed on the line between...
  3. T

    Quantized vs. Continuous Variables

    I'm trying to follow an argument in Pauling's Introduction to QM w/applications to chemistry. He is a bit hand-wavy at parts, and I wanted to see if anyone could clarify. So we start off with the time-dependent Schrodinger equation. He makes the assumption that \Psi, our wavefunction, can be...
  4. S

    Quantized spacetime and Special Relativity

    How does special relativity affect a quantized spacetime? Specifically, how can time and space be quantized the same way for all observers?
  5. Q

    Quantized energy and Amplitude

    Energy and Amplitude of Oscillation An atom in a crystal lattice can be regarded as having a mass of 2.0E-26 kg attched to a spring. The frequency of this oscillator is 1.0E13 Hz. What is the amplitude of oscillation if the energy of oscillation is one energy quantum? I know E=nhv, here n=1...
  6. T

    What Indicates the Quantized Nature of Electrons in Atoms?

    Homework Statement Phenomena/Features that imply the quantized nature of the electrons in an atom Homework Equations The Attempt at a Solution Electrons can take only certain allowed energy values. when an electron moves from a high energy level to a lower level, a photon is...
  7. pellman

    Is angular momentum always quantized?

    For a bound particle we have that quantized energy levels while a free particle has a continuous spectrum of energy. Similarly for momentum. Thus electrons in an atom have definite energy levels. They also have orbits of discrete angular momentum. But what about free particles? One...
  8. H

    Do photoelectric effect suggest that the emission of energy by an atom be quantized

    Homework Statement Do photoelectric effect suggest that the emission of energy by an atom be quantized Homework Equations The Attempt at a Solution I think it is true as photoelectric effect told us that atom emitt energy in terms of electron.
  9. T

    Is Time Quantized? Exploring Theories & Possibilities

    Purely a thought. Since the energy is quantized and therefore matter is quantized, is it possible for time to be quantized? Are there any theories to would support that idea? And perhaps, if time is quantized then what about space (as in space we move in) itself?
  10. P

    Digital and quantized signal, are one same thing?

    digital and quantized signal, are one same thing?
  11. A

    On Snyder's paper on Quantized Space-Time

    Hello, I have been trying to work out the mathematical details of H Snyder's 1947 paper, titled http://prola.aps.org/abstract/PR/v71/i1/p38_1" , and I am stuck at something. When the space-time variables are considered as Hermitian operators, and we need to verify that they satisfy Lorentz...
  12. N

    Electron in a well: energies are quantized or not?

    hi, I'm new on this forum, and I don't know english very well (sorry). maybe you can clarify me about this doubt. an electron in a well with infinite walls has a discrete set of energies, right? but if the length of the well is infinite, what can I say about energy state density? is it uniform...
  13. Y

    Uncovering the Mystery of Time: Examining Theories in Modern Physics

    Hi, Lately I was wondering whether or not time is also "quantized". By that I mean that, is time something continuous or more like something discrete, i.e does there exist an indivisible entity of time? I know that energy (or, equivalently matter) is quantized. Maybe time is as well? That we...
  14. T

    Why is angular momentum quantized?

    Hello Everybody. I wanted to find a good explanation for "Why is angular momentum quantized?" but I found a lot of explanations most of them includes math. Could you help me about the question Why is angular momentum quantized? philosophically. thank you form now.
  15. S

    How did Millikan show the electron charge to be quantized?

    In all of the physics books I have, the story is Millikan, in measuring (calculating) the charge found on tiny oil drops, "found them all to be integer multiples of a single, fundamental unit", the electron charge -e. The question I have is, HOW did he show them to all be multiples of a...
  16. Z

    Quantized flux in superconductors

    I read that most type-2 superconductors have one quantum of flux (2*pi*h-bar/e) per flux filament (fluxon), but that a few have a different value (were fullerenes one of them?). I mentioned this to an professor I am doing some research for, and he challenged what I read. Now, I can't find what...
  17. K

    Quantized Gravity (Unification of GR and QM)

    Hello, I am just wondering, when we talk about fundamental forces we refer to the strong force, electromagnetism, the weak force and gravity. But is it not true that gravity is just the curvature of the space time fabric, in which case it is technically not a force. So when we say gravity is a...
  18. M

    What does it mean to be 'quantized'?

    What does it mean to be 'quantized'? My teacher often says about Quantum Physics. I just don't get what that means. My teacher explained that quantized means everything can be or can not be (I didn't listen carefully) cut indefinitely. If everything can be cut indefinitely, then how about...
  19. C

    Quantized Field: Definition & Meaning

    when they say a field is quantized, what is meant by that?
  20. P

    Quantized Charge Problem, Why is this right?

    Homework Statement 26. Calculate the number of coulombs of positive charge in 250 cm^3 of (neutral) water. (Hint: A hydrogen atom contains one proton; an oxygen atom contains eight protons.) Homework Equations q = n_{e}e, n_{e} = \pm1, \pm 2, \pm 3,..., e \equiv elementary...
  21. M

    The temperature is also quantized?

    We know the average energy of particle could be described by temperature. E=k*T. The energy is quantized. Its unit is E=h*v. So the temperature is also quantized? What’s its unit? Get it by equation k*T=h*v? If select v=4080MHz, T=0.1959k, seems too large:confused:
  22. E

    Charge Quantized: Explaining the Contradiction

    When I first study the chapter Charge, I was told that charges are quantized, that is, you can't find a charge of like 6.2e or 1/3e. But later, when I got into the quantum theory, I was told that there are quarks, which have charges like +2/3e or -1/3e. Don't these two statements...
  23. W

    Is Time Quantized? Investigating the Possibility

    So is time Quantized too? Frequency musts be quantized. v~c/(h/2*pi) fastest velocity over the smallest distance so v~2*c*pi*n/h. If there is a smallest frequency (1/second). Is v^-1 the smallest time unit?
  24. C

    Jumping between quantized values

    If you have a particle spinning at some quantized value and it makes a jump to the next energy level so it's spinning faster, what happens in the in-between time? If it happens immediately I'd think that would imply an infinite acceleration...
  25. S

    Is free electron's motion quantized?

    is free electron's motion quantized? For example if i knock off electron from an atom and than trap it inside some space where i can manipulate magnetic fields, can i slow and speed up the electron continuously, or will the electron speed be quantized? please, explain why is it quantized?
  26. L

    Understanding Quantized Values - Learn Examples & Concepts

    All I can think of are electrons and marbles! Oh god, please help. I need examples of quantized values. And Quantized means, they're set to a select grouping, like whole numbers vs. real numbers? I'm hoping I'm somewhat on the right track... Can't time be quantized too?
  27. L

    Question regarding Energy of a Particle in a Box is Quantized

    I'm not sure how should I ask the question, so I'm going to go ahead and quote from the book. "The model of a particle in a one-dimensional box has been applied to the pi electons in a linear conjugated hydrocarbons. Consider butadiene, H2C=CHCH=CH2, which has four pi electrons. Although...
  28. T

    The Uncertainty Principle and Quantized Time

    GIVEN: 1. The more accurately you determine a particle's position, the less you know about its momentum, and vice versa. (Heisenberg Uncertainty Principle) 2. Momentum is defined as mass times velocity. 3. Velocity is defined as change in position over time. 4. The rest mass of a particle...
  29. X

    Double slit in time experiment = evidence for quantized spacetime

    Double slit in time experiment. http://faculty.physics.tamu.edu/ggp/#doubleSlit http://physicsweb.org/articles/news/9/3/1/1?rss=2.03Cbr20/E This surely is experimental evidence that that matter/energy is not just quantised over spatial dimensions (as shown by the classical double slit...
  30. P

    Can Space-Time Be Quantized and What Could That Mean for Physics?

    I only dabble in physics, so a layman's explanation would be appreciated. My question is, can space-time be quantized? I know that Plank's constant is often used for both length and time, so does it apply also to space-time? I ask this question because it appears to me that this concept can...
  31. ?

    Gravity Quantized (~GRAVITON~ )

    I've been looking around in various physics books and websites - talking to some people too - and cannot find anything on gravity. I don't mean the inverse sqaure law [ F = G m1m2/r2 ] or gravity's constant [ G = 6.67 * 10^11 m3 Kg s-1 ] but more to the point how the particles ( on the...
  32. S

    Can Dimension and Time be quantized?

    Can Dimension and Time be quantized? For example, distance and time is a whole number multiple a smallest unit. p/s: I don't have any facts to support my question, so this is possibly one of my illogical thought :smile:
  33. M

    Quantized Space & Lorentz Contraction in Loop Quantum Gravity

    Does anyone know how in LQG they avoid the contradiction of a smallest unit of quantized space and Lorentz contraction?
  34. turbo

    Quantized space-time and redshift.

    I have been reading about Loop Quantum Gravity and about Spin Foam, and I am stuck on a (probably stupid) idea. It seems that one of the underpinnings of these concepts is that space-time is quantized in discrete units at the Planck scale. If space-time is quantized and the universe is...
  35. Antonio Lao

    Can Strings be Quantized a 2nd time?

    Open strings and closed strings are the quanta of Type I string theory. If the rotational (vibrational) axis of a closed string coincides with another existing string, and this string is subsequently closed, can the new form of double loops of string be considered as a 2nd quantum structure of...
  36. Antonio Lao

    Quantized Structure of a Graviton

    The quantum of gravity is called graviton. And using symbols for quanta of length, \psi_E and \psi_B and quanta of linear momentum, \phi_E and \phi_B, the time independent structure of graviton, G^{-} is given by G^{-} = \psi_E \times \phi_E \cdot \psi_B \times \phi_B
  37. Antonio Lao

    Is Quantizing Spacetime Possible According to the 2nd Law of Thermodynamics?

    If space is restricted to just one dimension, can this 1-dim space together with the 1-dim time be subjected to a process of quantization?
  38. Antonio Lao

    How are n by n matrices used to group space charges?

    For n by n matrices H^{+}_n H^{-}_n a(Hn+)(bHn-)=n^(m-1)Hn+, if a and b are even integers, a(Hn+)(bHn-)=n^(m-1)Hn-, if a and b are odd integers, where m=a+b. H+, H- and H0, using traditional concepts from abstract algebras, form a ring that is an abelian group under addition and a...
  39. A

    CMB Anisotropies Reveal Quantized Gravity

    Dated as of today: http://arxiv.org/abs/astro-ph/0401070 What do you think guys? :)
  40. marcus

    Basic tools for quantized differential geometry

    One of selfAdjoint's posts in a loop gravity thread pointed out that many of the tools needed belonged in differential geometry. This is his 22 October 8:33 pm post: ----------------------- "Since Greg the magician got us a reprieve on the bandwidth thing, I'll add a little. I just read...
  41. frankR

    Quantized angular momentum of diatomic gas molecule: Bohr Model

    Here is the problem: A diatomic gas molecule consists of two atoms of mass m separated by a fixed distance d rotating about an axis as shown. Assuming that its angular momentum is quantized just as in the Bohr atom, determine a) the quantized angular speed, b) the quantized rotational energy...
  42. Ivan Seeking

    Exploring the Unknown: Electron Fluctuations & Quantized Time

    Perhaps this is an easy one for you experts our there. When we consider an electron that occupies some local and small region of space, and then we assume that this electron [if it means anything to talk about a particular one] is un-measured - back in an unknown state- but that by the laws of...
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