If you perform a double slit experiment but never look at the results could we say that the experiment never actually happened? The beginning of the experiment would show intention to find results but we believe intention does not create physical reality. Quantum Eraser could be preventing us...
When we think of the fathers of quantum mechanics we tend to think of Max Planck, Albert Einstein, Niels Bohr, Louis de Broglie,
Max Born, Paul Dirac, Werner Heisenberg, Wolfgang Pauli, and
Erwin Schrödinger. However I think I am in solid ground in suggesting that William Shakespeare was way...
For the case of general potential V(x), what does it mean when he says that there are always one more constraint than free parameters? At each interval, ψ and ψ' must be continuous, so that is 2 constraints at each interval, and I understand that there are 2 parameters of the wavefunction in...
Do quantum strings have a specific strength, as in how much does it take to break the fabric of our universe if even possible?
What would happen if it is broken or has happened?
Consider page 2 of Toth's paper Entanglement detection in the stabilizer formalism (2005) . To detect entanglement close to GHZ states, they construct entanglement witnesses of the form $$\mathcal{W} := c_0 I - \tilde{S}_{k}^{(GHZ_N)} - \tilde{S}_{l}^{(GHZ_N)},$$
where...
For a thought experiment, if you defined:
An electron's "state" can be in 16 states measured as increments of 45 "degrees" starting at 22.5 (modulus 360)
An entangled electron (e') simply gets aligned 180 degrees away from (e)
A "measurement" M(n) at n degrees simply adds n degrees
"Spin" is...
Matt Leifer gives criteria that any good quantum interpretation should satisfy.
http://mattleifer.info/2006/06/28/professional-jealousy/?fbclid=IwAR2wl5kEzcfbn6doA53UMty42JP5dADhA5SDxRjaTMNPkq1i9Ag3WPCwB5Q
Trying to use <+|+>=1=<-|-> and <-|+>=0 to prove each iteration of the equation, so I have 6 different versions to prove. But the part I'm currently stuck on is understanding how to simplify any given version. I've written out [S_x,S_y]=S_xS_y\psi-S_yS_x\psi and expanded it in terms of the...
I am currently doing my masters in theoretical physics and I would like for my phd to be something quantum gravity oriented. However it seems hard to find what's "hot" in the field those past few years and I only know the basics of these topics (though I believe this can be improved). What are...
There is a lot of information on the Internet that quantum physics supports solipsism and that physicists believe in solipsism. I only trust this forum and the people who are here, so I want to ask you: 1. Is it true that quantum physics says solipsism is true? If this is true, then only one...
Hi,
In my textbook it says that if you consider the electrostatic repulsive barrier that protons in the Sun need to overcome in order to get into the range of the strong nuclear force to fuse together then it fails to fully account for the measured power output of the Sun.
It says that the...
Consider the Schrödinger equation for a free particle:
\begin{equation}
-\frac{\hbar^2}{2m} \partial_i^2\psi = i\hbar\partial_t \psi.
\end{equation}
Let us be interested in the motion of a free particle in quantum mechanics. We say ok, we have a solution to the Schrödinger equation for a...
When I asked my professors about quantum interpretations like whether it is particles or waves in the double slit experiment. They always say it is just quantum stuff which is neither particles nor waves, so one must not describe them at such. So why do we have so many interpretations. Why not...
What are some resources that you would suggest for a first course in graduate quantum mechanics? This includes textbooks, online courses such as MIT OCW(includes homework/exams), and online lecture notes?
Background
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Consider the following thought experiment in the setting of relativistic quantum mechanics (not QFT). I have a particle in superposition of the position basis:
H | \psi \rangle = E | \psi \rangle
Now I suddenly turn on an interaction potential H_{int} localized at r_o =...
This video www.youtube.com/watch?v=j5HyMNNSGqQ and the paper it refers to https://www.nature.com/articles/s41586-019-1287-z
(available also at : http://qulab.eng.yale.edu/documents/papers/zlatko_paper.pdf )
... talks about how a quantum transition can be monitored and manipulated in real time...
Hi! I am trying to understand how advanced quantum computers have in fact become as well as how advanced they can in principle become. To probe these issues, I am asking the group whether or not quantum computers are restricted to feedforward processing, both currently and in principle?
Here is...
Hello. What are the problems specifically or mathematically or physically that physicists find difficulty in solving to make a theory of quantum gravity? Thank you.
I'm a current high school student and I’m aspiring to become a biochemist. I’m at the moment writing an article about adaptive mutations but there is a lot of tricky quantum mechanics in it which I simply don't get. I have asked everyone and got no answer until someone recommended to ask it in a...
The Aircraft Recovery Problem: consists of finding solutions for a disrupted aircraft flight schedule such that a set of constraints is satisfied, namely continuity, turn-round time, scheduled maintenance, and airport departure/arrival capacity. My approach consists of finding the domains for...
I have a question related to the following passage in the quantum mechanical scattering textbook by Taylor,
Here Taylor makes the choice to use a basis of total angular momentum eigenvectors instead of using the simple tensor product given in the first equation above (6.47). I understand that...
Hello.
There is the idea that Many Worlds interpretations could imply subjective immortality (known as Quantum Immortality).
However, could this work even if MWI is not true? If the universe is infinite in space or time, or there are an infinite number of universes like ours (several...
Travis Norsen in his paper Quantum Solipsism and Non-Locality seems to believe that Everettian QM implies some sort of solipsism. He falls it FAPP (for all present purposes) solipsism. (I must say that as a geologist this goes over my head a bit!)
However I have recently read Sean Carrolls...
I have just finished reading the book 'Three Roads to Quantum Gravity' by Lee Smolin.
My question interestingly is associated with my geology background. Lee Smolin notes Fay Dowker concludes that if Consistent Histories is true then we cannot deduce the existence of dinosaurs 100 million...
Question
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So I've done a calculation which seems to suggest if I combine the system of a measuring apparatus to say an experimenter who "reacts" to the outcome of the the measurement versus one who does not. Then the change in entropy in both these situations is bounded by:
$$ \Delta S_R...
Is it possible to have some kind of General Relativistic Quantum Theory without passing through the stage of Quantum Field Theory (where Quantum Theory is married to Special Relativity)?
Einstein attached primary significance to the concept of general covariance as shown in this letter in 1954...
Hello,
I was watching a video lecture from MIT 8.04 (Allan Adams)– lecture #24 (around the 38 minute mark give or take)
The topic is quantum computing, Dr. Adams is deriving / explaining how to get various computing operations. For the “NOT” operation he explains that the operator
$$ U_{Not}...
What I tried to do was using the fact that the wave function should be continuous.
Asin(kb)=Be^{-\alpha b}
The derivative also should be continuous:
kAcos(kb)=-\alpha Be^{-\alpha b}
And the probability to find the particle in total should be 1:
\int_0^b A^2sin^2(kx) dx + \int_b^{\infty}...
My question is: How does this happen? Less measurements than 4^n-1 means that literally we don't have enough information to label the state. How can the neural network overcome this lack of information?
Hello there. What will physicists do after a theory of quantum gravity is found?Will they ask, if it is found ,more questions about it and try to develop it?What other questions will they make probably?Thank you.
Question
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I can show for a position eigenstate ## | x \rangle ## if it evolves in time ##U(\Delta t) | x\rangle ## (where ##U## is the unitary operator). Then one can bound the time elapsed by finding the probability amplitude ##| \langle x | U^\dagger(\Delta t)| x + \Delta x \rangle |^2 ##...
If singularities don't exist in QG then what prevents particles from just collapsing falling further until they collapse into a singularity? Is there a repulsive force in QG ? Is time infinitely stretched near a singularities? What else could be happening?
Every second the universe branches into 5000 universes and each of those 5000 universes branches into 5000 more after one more second.
Now, consider an 80 year old person, he has lived close to 80*365*24*60*60 seconds, which is 2.5 Billion seconds. So, in his life time, universe has branched...
I'm struggling with my Final Degree Project. I would like to perform a quantum simulation and perform quantum tomography for a single-qubit using a resrticted Boltzmann machine. In order to do so I'm trying to follow the recipe in the paper "Neural Network quantum state tomography, Giacomo...
Recently, it has come to my attention a field called Quantum Foundations. This is exactly what brought me into Physics, even though back then I didn't know it was a research area.
In my Physics classes, I got disappointed and unmotivated at the "Shut up and calculate!" attitude of my Physics...
From the german Version of Carlo Rovellis book "La realtà non è come ci appare. La struttura elementare delle cose" I have learned about the theory of Loop Quantum Gravity that
space and time arise through the interactions of gravitational quanta,
the space quanta have discrete volume spectra...
My question is the physics behind the LASER such as stimulated emission can be only explained by quantum mechanics only. We can represent LASER as coherent state in quantum mechanics only. Then how can we say LASER can be thought of a classical light source?
I had never heard of Schwinger's Quantum Mechanics: Symbolism of Atomic Measurements until very recently. I wonder what you people think about that QM textbook. Is it a good introduction to QM? A reference? Or, possibly an outdated and bad book?
At first glance, it seems a masterpiece to me...
In the attached image, there are two quantum circuits that are equivalent. I am trying to understand how. Let's call the top qubit ##q_1## and the bottom one ##q_2##, and the outputs ##q_1'## and ##q_2'##. From what I understand, the C-NOT gate doesn't affect the control qubit. Because Hadamard...
Hi Pf
I do not know if it is only an analogy but i consider these two correspondences:
I) the transformation of a quantum spin into a statistical problem by a Wick rotation.
we start with a qubit evolving in time between 0 and t from S0 to St. we use a exp(iHt) operator to describe its...
a) Consider a dust grain of mass 0.1µg whose position is known to a distance of 1µm. How precisely can its velocity be known?
b) A company claims to have invented a device that can measure the momentum of objects inside it with extreme accuracy. The device fits within a matchbox, and the...
Hello
Can some one explain how you work out the combinations of quantum numbers for infinite wells in higher dimensions?
For example if i have an energy level $$E_4$$ In a 2D well, then for quantum numbers does this mean the combinations allowed must be:
$$4^2 + 1^2$$
$$1^2 + 4^2$$
So then...
I understand that based on what I have read online quantum computers are required to be close to absolute zero because it introduces less error. Is it because brownian motion due to thermal agitation of molecules reduces with temperature?
I do not have the education to grasp the math of quantum mechanics but I am very interested in it and understand some of the concepts. I often find myself pondering those concepts.
One thing I began to wonder about was the possibility of using quantum entanglement to observe distant objects so...
In my book it has the following example,
A particle confined to the surface of a sphere is in the state
$$\Psi(\theta, \phi)= \Bigg\{^{N(\frac{\pi^2}{4}-\theta^2), \ 0 < \theta < \frac{\pi}{2}}_{0, \ \frac{\pi}{2} < \theta < \pi}$$
and they determined the normalization constant for ##N##...
Perhaps the reason is that the principle of least action is elevated to a divine principle that does not require materialistic interpretation. If so, then the solution to the "secrets" of quantum theories lies in the solution of the materialistic essence of the physical magnitude of action.