In physics, a quantum (plural quanta) is the minimum amount of any physical entity (physical property) involved in an interaction. The fundamental notion that a physical property can be "quantized" is referred to as "the hypothesis of quantization". This means that the magnitude of the physical property can take on only discrete values consisting of integer multiples of one quantum.
For example, a photon is a single quantum of light (or of any other form of electromagnetic radiation). Similarly, the energy of an electron bound within an atom is quantized and can exist only in certain discrete values. (Atoms and matter in general are stable because electrons can exist only at discrete energy levels within an atom.) Quantization is one of the foundations of the much broader physics of quantum mechanics. Quantization of energy and its influence on how energy and matter interact (quantum electrodynamics) is part of the fundamental framework for understanding and describing nature.
Hello,
I have two questions into one. First I would like to know what books are considered the best to introduce the theory of quantum dots, so for example with the k.p method, tight-binding, empirical pseudopotentials, and other techniques, analytical derivations, optical properties, band...
I think the effective action should make sense also in Quantum Mechanics, not only in QFT. But I have never seen described in a QM book as such. Could there be a QM book that uses effective actions? Or maybe in QM effective actions are called another name?
I think effective actions in QM could...
Summary: Search to compute gain of a quantum well. Stuck with maths or programming.
Hi everyone !
For a personal project, I search to compute the optical gain occurring on a semiconductor quantum well. I have based my calculations on a paper called
Investigation and comparison of optical gain...
My attempted solutions was, for example let's say we have 4 atoms, and if i ask the oracle about any two atoms that are connected by edge, i can narrow done some possibilities to two atoms.
I'm still not sure where i am going with my solution, but if any of you can think this through and come up...
I'd like to point to the book The Philosophy of Quantum Mechanics by C. Friebe et al., Springer 2018. It contains many topics usually underrepresented in foundational discussions of quantum physics, in chapters on many-particle systems and quantum field theory. It also has in its last chapter a...
Summary: Does the "problem of time in quantum mechanics" go for Lorentz-invariant quantum mechanical theories like QED?
Everything I read about "the problem of time in quantum mechanics," i.e. absolute time in QM clashing with relativity's relative time coordinate and relativity of...
Firstly, I don't know in which Picture this equation holds (if I hadn't missed some words in the previous text...). I think it may be the Heisenberg Picture. But if it is, the rest target is to prove $$\frac{i}{\hbar}[H_R+H_{FR},(a^\dagger) ^ma^nO_A]=\langle\frac{d}{dt}((a^\dagger)...
I'd like to draw attention to a very recent paper by Jürg Fröhlich, a well-known mathematical physicist from the ETH Zürich. It starts out as follows:
Section 2 is titled ''Standard formulation of Quantum Mechanics and its shortcomings''. Surely @vanhees71 has very convincing reasons why this...
Introducing the spacetime spherical symmetric lattice, I use the following notifications in my program.
i - index enumerating the nodes along t-coordinate,
j - along the r-coordinate,
k - along the theta-coordinate,
l - along the phi-coordinate.
N_t - the number of nodes along t-coordinate.
N_r...
In a book it says that "we know of quantum phenomena in the electromagnetic field that represents a failure of superposition,seen from the viewpoint of the classical theory."
I want to about what quantum phenomena is he talking about?
This was from the page 11 of the book Electricity And...
I'm interested in quantum programming. So far I've managed to use Java and Python inside Datamelt computation project for physics simulations and for various statistical plots. Now I want to make a simple code that illustates quantum computing, and maybe even to visualize its principles (for...
In analogy to classical mechanics, I thought a good definition to "What does "solving a quantum mechanics problem" mean?" was to give the propagator (aka the Green function, or the 2-point correlation function):
In classical mechanics, solving a problem means to give the path of the particle...
This is a fascinating discussion. I know some people don't want to debate this or they can't debate it but the truth doesn't care about your feelings. This isn't speculative, it's backed by Scientific research. First paper.
Is Spacetime an Error Correcting Code. Published in the Journal of High...
I'm writing a short story about the hero having the ability to control quantum probability.
First. Is there any sci-fi novel that explores the ability to control it? Can it imitate telekinesis for example the person focusing on "left" direction whereby the wave function probability would...
Problem Statement: See below
Relevant Equations: 2D density of states ##g\left(E \right)=\frac{m^{*}}{\pi\hbar^2}##
Fermi energy in a quantum cascade laser ##E_{F}=E_{i}+k_{B}Tln\left[exp\left(\frac{\pi\hbar^2n^{2D}}{k_{B}Tm^{*}} \right)-1\right]##
I've been stuck on this problem for a few...
I am confused about the vector notation of quantum states when I have a 2 qubit system.
For 1 qubit, I just write l1> = (0 ;1 ) for representing 1,
and l0> = (1;0) for representing 0.
Dirac notation is straightforward
However when it comes to representing two qubits in linear algebra I...
I am currently studying this paper on quantum synchronization. The first page gives an introduction to synchronization and the basic setup of the ensembles in the cavity. My query is on the second page where the following statements are made.
Can anyone see why the implication is that all...
I've read that ##\left | \psi \right > =cos \frac \theta 2 \left | 0 \right > + e^{i \phi} sin \frac \theta 2 \left | 1 \right >##, and the corresponding point in the Bloch sphere is as the fig below shows.
I think ##\left | 0 \right >## and ##\left | 1 \right >## are orthonormal vectors...
As I understand the delayed-choice quantum eraser experiment, first performed by Kim in 1999, entangled photons are used to determine which-way data, and the which-way data is obtained by virtue of where the entangled particles land, as opposed to using a measuring device that may be collapsing...
From the proceedings of Group32, the 32nd International Colloquium on Group Theoretical Methods in Physics (9–13 July 2018, Prague):
https://iopscience.iop.org/article/10.1088/1742-6596/1194/1/012097
M D Sheppeard
Abstract: A physical approach to a category of motives must account for the...
Hi everyone! Sorry for the bad english!
Paper: https://arxiv.org/abs/1902.05080
I guess I understood the experiment until the moment Alice and Bob chooses to measure A0(B0) or A1(B1).
I guess it's kind of straightforward that without a bell state measurement with photon alfa(beta) and photon...
For my own understanding, I am trying to computationally solve a simple spinless fermionic Hamiltonian in Quantum Canonical Ensemble formalism . The Hamiltonian is written in the second quantization as
$$H = \sum_{i=1}^L c_{i+1}^\dagger c_i + h.c.$$
In the canonical formalism, the density...
I know that in some Bohmian papers (like https://arxiv.org/pdf/quant-ph/0303156.pdf), electron-positron pair creation and annihilation is modeled by different methods like stochastic jumps in the configuration space. My question is, is there any Bohmian approach to reproduce all of the...
Hello,
I know we have the parity operator for inversion in quantum mechanics and for rotations we have the exponentials of the angular momentum/spin operators. But what if I want to write the operator that represent a reflection for example just switching y to -y, the matrix in real space...
Hello,
In Griffiths Intro To Quantum (second edition) example 4.3 page 180 ...
Calculating the expectation of <Sx>, equation 4.164.
I'm sure I am wrong, but it seems like after using Euler's for the e^i terms there should be 2cos(yB0t)'s terms. I agree the sin's cancel (After using Euler)...
Quantum fields have wave functions that determine a particle position in space. It solves non-locality, double-slit paradox, tunnel effect, etc. What if the wave function is also in time? Won't it solve the breaking of causality at quantum level? (Delayed Choice/Quantum Eraser/Time)
Not much...
By the Wigner theorem, symmetries transformations are implemented by operators ##\hat{U}## that are unitary or antiunitary. This is what is written in most books. But I have read somewhere that, to ##\hat{U}## represent a symmetrie, it's necessary that ##\hat{U}^{\dagger} \hat{H} \hat{U} =...
The main role in quantum gravity can be played by the uncertainty principle , where is the gravitational radius, is the radial coordinate, is the Planck length. This uncertainty principle is another form of Heisenberg's uncertainty principle between momentum and coordinate as applied to the...
I have been reviewing potential methods for measuring Quantum Vacuum Fluctuations that I might be able to implement in a home hobbyist environment. Must be room temperature devices. I have seen that there are only a couple of possibilities: The Tunnel FET and the Single Electron Transistor. I...
n is the principal quantum number.
l is the angular momentum quantum number.
ml is the magnetic quantum number.
The possible values of l are 2, 3, and 4. I'm not sure if l can be equal to 4.
On the answer key, it shows l = 2, 3.
I am currently studying quantum synchronization. I am reviewing a https://www.researchgate.net/publication/251232415_Quantum_Synchronization_of_Two_Ensembles_of_Atoms which describes quantum synchronization of two ensembles in a cavity. As such, I have a query regarding a cavity physics related...
Are there new hermitian operators in quantum gravity?
Background: In many worlds interpretation (MWI). We have the preferred basis problem and the basis are for example position, momentum, spin. Each of those bases come from a hermitian operator: they are the eigenbasis of the (for example)...
From here:
From here:
Peres writes on p.11:
And on p.58:
Note that Peres says that these issues are not yet fully understood!
On p.63, Peres writes:
On p.424:
And on the next page:
The footnote quoted by Peres says:
And on p.25, where Peres introduces ensembles, he says (like Gibbs...
Hello, again. My current interest is quantum computation.
I've finished Griffiths' QM for the first time. Because it only takes me a month studying the book, I may have study it superficial, so I plan to study it again and complete all the problems after each chapter.
Then is this book...
I understand partly what he is saying, but can you discount the measurement effect as a feature of the world? Aren't measurement effects going on all the time between macroscopic and microscopic systems, making it in practice, at times, an indeterministic world? Or is he assuming that...
I am a master student in theoretical physics from Italy and I would like to know more about fields related to "Quantum Information".
I've been to some seminars and I think that these fields are very interesting, but I need to understand before applying for a PhD. What should I do?
I'm a student trying to explain quantum superposition without using Schrodinger's cat. Instead, I'm trying to use the principal of wave particle duality to explain how a particle can be in multiple states (and locations) at once before it is observed due to wave properties. However, I'm unsure...
I was reviewing the harmonic oscillator with Sakurai. Using the annihilation and the creation operators ##a## and ##a^{\dagger}##, and the number operator ##N = a^{\dagger}a##, with ##N |n \rangle = n | n \rangle##, he showed that ##a | n \rangle## is an eigenstate of ##N## with eigenvalue ##n -...
Hi all,
I am an undergraduate junior majoring in materials science who would like some advice with respect to which courses to take for the fall semester of my senior year.
Some background: I am a materials science student and I intend to study spintronics and topological insulators for my...
I am trying to understand Aubry-Andre model. It has the following form
$$H=∑_n c^†_nc_{n+1}+H.C.+V∑_n cos(2πβn)c^†_nc_n$$
This reference (at the 3rd page) says that if ##\beta## is irrational (rational) then the period of potential is quasi-periodic incommensurate (periodic commensurate) with...
Hello my dear fellows, how're you doing? I'm trying to learn how to use Quantum Espresso, and in order to do this, I'm trying to simulate a hexagonal boron phosphide primary cell. At the end of the simulation, the structure seems to be fine, but sometimes the distance of the atoms are too short...
This might sound stupid , but I am wondering how exactly could I describe the momentum eigenfunctions of photons?
EDIT:
to destroy ambiguity, I am searching for a quantum mechanic description of monochromatic light similar to how we represent it classically as:
E-> = a->cos(wt+phi)