Tagged Questions

Quantum mechanics describes the microscopic properties of nature in a regime where classical mechanics no longer applies. It explains phenomena such as the wave-particle duality, quantization of energy and the uncertainty principle and is generally used in single body systems. Use the ...

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11 views

EPR thought experiment

Suppose we have a pair of spin-1/2 particles in the entangled singlet state (i.e. the state $\frac{1}{\sqrt 2} (|+z,-z\rangle - |-z,+z\rangle)=-\frac{1}{\sqrt 2} (|+x,-x\rangle - |-x,+x\rangle)$ ). ...
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2answers
14 views

What is the most agreed apon quantum mechanical equation of motion?

On multiple Wikipedia articles, it mentions several quantum mechanical equations of motion, namely those by Schrodinger and Heisenberg. Which one is the most accurate and agreed apon quantum ...
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11 views

Antiunitary operator, momentum operator

Assuming the time-reversal operator $T$ $T|x>=|x>$ Now I want to calculate $TpT^{-1}$ So, $TpT{-1}|x>=Tp|x>=\int\int T|x'><x'|p|p'><p'|x>=\int\int ...
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1answer
34 views

Eigenvalues of hamiltonian

Q: THe hamiltonian which describes the motion of a particle in an one dimensional potential V(x) is $H_0=\frac{p^2}{2m}+V(x)$ , where $p=-i\hbar \frac{d}{dx}$ is the momentum operator. $E_n^0$ , ...
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1answer
186 views

What do we see while watching light? Waves or particles?

Im trying to understand quantum physics. I'm pretty much familiar with it but I can't decide what counts observing to cause particle behave (at least when it's about lights). So the question is what ...
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2answers
43 views

Can Quantum Entanglement and Quantum Superposition be considered the same phenomenon?

Quantum entanglement is known to be the exchange of quantum information between two particles at a distance, while quantum superposition is known to be the uncertainty of a particle (or particles) ...
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2answers
50 views

Creation and annihilation operators in Hamiltonian

If I find a Hamiltonian $H = \sum_{k} \varepsilon_k a_k^{\dagger} a_k + \sum_k V_k a_k^{\dagger} a_k$ then I was wondering: As far as I know this is many body theory and so these operators act on ...
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0answers
78 views

Horrifying electron gas model

I am given the Hamiltonian (in an exercise called: plasmons) (and $\langle, \rangle $ denotes the expectation value) $$ H = \sum_{k} \varepsilon_k a_k^{\dagger} a_k + \sum_{k_1,k_2,q} V_q ...
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0answers
24 views

Larmor Precession of a macroscopic number of electrons

I know that there are some similiar questions out there, but I'm still quite puzzled by the following problem. Say i have a box full of interacting electrons ( I'm not sure if it would change anything ...
1
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0answers
39 views

Interpretation of all eight solutions of the Dirac equation

There are eight solutions of the Dirac equation. $u_1, u_2, u_3 , u_4$ and $v_1,v_2,v_3,v_4$. Conventionally the four solutions ($u_3 , u_4,v_3,v_4$.) following from $E=- \sqrt{ (\vec p)^2 +m^2}$ are ...
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0answers
42 views

What is really interacting in weak interactions?

Only particles with chirality $-1$ do interact weakly. The corresponding eigenstate in the Dirac basis is $ \Psi_L = \begin{pmatrix}f \\ -f \end{pmatrix} = \begin{pmatrix}u_r {\mathrm{e}}^{-imt} \\ ...
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42 views

Please help with quantum mechanics [on hold]

Let the Hamiltonian of two nonidentical spin 1/2 particles be where and are constants having the dimensions of energy. Find the energy levels and their degeneracies.
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1answer
36 views

Wave packets and half-width at half-maximum

Suppose we have a Gaussian wave function and amplitude distribution function $$\psi(x) = (\frac{2}{\pi a^{2}})^{1/4}e^{-x^{2}/a^{2}}e^{ik_{0}x}, \qquad \phi(k) = (\frac{a^{2}}{2\pi})^{1/4}e^{-a^{2} ...
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3answers
135 views

Root of $i$, which one to take?

The propagator of a free particle in 1d is $$ K(x_b, t_b; x_a, t_a ) = \sqrt{\frac{m}{2\pi i \hbar (t_b-t_a)}} \exp \left [ \frac{i m (x_b-x_a)^2}{2 \hbar (t_b-t_a)} \quad \right ] .$$ It looks ...
1
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1answer
45 views

Integration of $e^{-it\sqrt{\mathbf{p}^2 + m^2}}$ for QM amplitude

My question might be more about maths than physics, but it originated in a Physics context. Take $\hbar$ = $c$ = 1. I was looking at the amplitude for a free particle to propagate from an initial ...
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0answers
45 views

have postulated a new theory on the uncertainity of mass based on heisenberg`s uncertainity principle. Can someone verify it? [on hold]

I have postulated a new theory on the uncertainity in the mass of a subatomic particle with a consistent spin. The full information about the theory is given below. Can anyone check the correctness of ...
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3answers
497 views

New subatomic particles

In reference to the findings talked about here http://online.wsj.com/articles/two-new-subatomic-particles-found-using-large-hadron-collider-scientists-say-1416409980 and other similar articles ...
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2answers
66 views

How can one be 'certain' about anything that has an “Uncertainty Principle” at its core? [on hold]

The Uncertainty Principle, which says that more than one aspect of a particle cannot be measured simultaneously, illustrates one of several major differences between quantum physics and classical ...
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0answers
24 views

Would a semiconductor shined with monochromatic laser light matching its band-gap have a 100% efficiency if all of the light was absorbed & converted?

The idea of transporting power through laser light is an interesting area of research. Conversions of up to 54% have been reported for long distance transmission. I would assume ...
1
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1answer
45 views

Why do silicon solar cells only produce ~0.6v when the band gap of silicon is ~1.1v?

I've been researching into this and can't quite figure out where that lost voltage is going. When silicon is excited by a photon within its absorption spectrum, it will always have an internal ...
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0answers
38 views

Quantum Entropy-a minimization problem

I came upon this (not homework) problem of minimizing the following expression ...
0
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1answer
28 views

Spin operator eigenstate in Fock space

I am creating an operator group from representation of spin 1 operators $$J_{x} = \frac{1}{\sqrt{2}}\left(\begin{array}{ccc} 0 & 1 & 0\\ 1 & 0 & 1\\ 0 & 1 & 0 \end{array} ...
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2answers
21 views

How is light trajectory affected by the trajectory of environment it passes through?

There's a sci-fi concept of slow light that I find very amazing: Imagine a glass material that has index of refraction $n$ say, $3,000,000,000$ which means: $$v_{glass} = \frac{c_{vacuum}}{n} = ...
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1answer
36 views

Density matrix: error with diagonalization claim and fixing it

On page 174 of Townsend's "A Modern Approach to Quantum Mechanics", 2nd edition, it says the following: "For a mixed state, one for which $p_k$ is the probability that a particle is in the state ...
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0answers
31 views

kronecker product of representations on SU(2) group [on hold]

We know that if we have two irreducible representations, their product is in general reducible : $$T^{\mu}\otimes T^{\nu}(g)=\oplus \sum_{\lambda}c_{\lambda}T^{\lambda} (g)$$ where $c_{\lambda}$ is ...
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0answers
20 views

How to generate random symmetric unitary matrices “close” to a given matrix? [migrated]

Note: This question have been asked in Mathematics Stackexchange [click here]. Since random matrix has close relation with some physical problems, I would like to post it here again. Sorry if this ...
0
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1answer
17 views

Does a photo-excited semiconductor produce a constant voltage output equal to the band gap?

Does the voltage produced by a photo-excited semiconductor always equal the band gap of that semiconductor, or does the voltage vary over a range similar to the photon energies in the emission spectra ...
0
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1answer
21 views

Electrical Generator [duplicate]

I have seen the generator that produces electricity from the earth's magnetic field demonstrated I have a video if it working It was taken approximately 15 years ago in California
3
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2answers
56 views

How do we know if distant stars we see by their light are real objects? [on hold]

Is there a way to be sure if they are not just light, but real objects?
3
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3answers
98 views

A misunderstanding regarding infinite square well

Here is a picture of the energy states of infinite potential well. We can see That the first level have a half wavelength which fittes with a full wave of the second level. $$\frac{ \lambda _{1} ...
9
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0answers
51 views

Is quantum uncertainty a function of how matter is distributed in the universe?

As an outcome of his PhD thesis work, Richard Feynman and John Wheeler wrote a series of papers on how the kickback on an electron as it emits a photon can be modeled accurately as the result of an ...
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1answer
24 views

What happens to K.E. in matter antimatter annihilation?

If I have two matter and antimatter particles, say an electron and a positron, each moving towards each other with a certain speed, they annihilate after the collision. Does the energy of the photons ...
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0answers
21 views

Can we use combined symmetry to simplify the calculation of algebraic PSGs?

In classifying mean-field spin liquids under projective construction, the algebraic projective symmetry group (PSG) approach focus on the mathematical construction of the possible extensions of the ...
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0answers
50 views

Do I understand life [on hold]

I AM NEW HERE,BUT LOTS OF CONFUSION IN MY MIND, life or Death depends upon time...or other things... on earth A man lives 60 year ,,what about there life at another place of universe where time is ...
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0answers
28 views

Finding the expectation value of the annihilation operator with respect to a given state

Using dirac notation we were given a state vector $$|\Psi(t=0)\rangle = A\sum\limits_{q=0}^Q \frac{1}{(q+i)} |\phi_q\rangle$$ Where $\phi$ is part of a complete orthonormal set. I found the ...
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2answers
71 views

why do metals feel cold when electron moves at Fermi velocity?

This might be a very elementary question. Considering that electrons in typical metals have very high Fermi velocity, why is it that when you touch a metal you feel cold? My intuition tells me that ...
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0answers
18 views

space representation of a local potential

Why is it that for a local potential $V$: $$\langle x | V | x' \rangle = V(x) \langle x | x' \rangle = V(x) \delta(x - x')$$ I saw this being used in a book but without any explanation. The part with ...
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1answer
43 views

Superposition and simultaneous observation

Trying to understand superposition. Ok, so double slit experiment. The multiple paths the particle simultaneously travels interfere with each other but as it is absorbed, it chooses one "actual" ...
1
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1answer
61 views

Are there any known physical implementations of quantum gates?

I was wondering if there are any known implementations of a small number of quantum gates that can interact with each other. Certainly we don't have a "complete" set of quantum gates (where ...
1
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1answer
118 views

Do consciousnesses get “scattered” across the many worlds of the MWI?

According the many worlds-interpretation (MWI) of quantum mechanics, following a decision with possible outcomes $A$ and $B$, with respective probabilities $p_A=P(A)$ and $p_B=P(B)$, a proportion ...
2
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0answers
21 views

Making An Energy Momentum Plot For A Rashba Model (Using Discretization)

I want to make a plot of the Energy versus the Momentum of the Rashba model, using discrete matrices. First Ill show how I did this for the free particle. Subsequently I will show what goes wrong for ...
0
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2answers
91 views

Bound electrons don't move, right?

I've never been satisfied with the explanation that electrons have a “speed” and move close to the speed of light, thus incurring relativistic effects that make gold pretty and mercury wet. I learned ...
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0answers
13 views

Derive allowed transitions in IR spectroscopy [closed]

I have question which I didn't find in the forum yet and hope someone could help me. It's in the field of quantum mechanics, which I know a bit about, but am not a total expert in. I have an ...
0
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1answer
37 views

Pressure in Harmonic Oscillation

Classical Harmonic oscillator's energy depends on temperature as it equals $k_B$$T/2$. However, quantum harmonic oscillator energy is $(n+1/2)hf$. So, when T=0, quantum predicts motion. I have been ...
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1answer
50 views

Quantum Tunneling

Why is it, that quantum tunneling is only significant between states of nearly equal energy (as claimed here: 'Since tunnelling is significant only between states of nearly equal energy, tunnelling is ...
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0answers
77 views

The double-slit experiment with electrons illustrates the surprising idea that (multiple choice) [closed]

A. electrons sometimes behave like tiny particles B. electrons sometimes behave like waves C. Light is a wave
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0answers
45 views

Commutation relation of a operator with Hamiltonian [duplicate]

Given that the eigenvalues of a Hamiltonian operator $H$ are bounded below, will a Hermitian operator $T$ exist such that $[T, H] = i\hbar{\bf 1}$ identity operator?
0
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1answer
45 views

What is many-body bound state?

Bound state by definition is a state when particles are bounded together, so then "many-body bound state" would be bound state for a system of many bodies. Then I have several puzzles: 1. is the state ...
2
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2answers
40 views

Does an excited state wave function depend on state preparation?

Consider a quantum system with a ground state and many excited states (e.g. an atom). If the system is in an excited state, to what extent does its wave function depend on the method of state ...
6
votes
2answers
161 views

How can we differentiate between matter and antimatter? [duplicate]

For instance if there was a galaxy, assume it to be made up of antimatter (isolated from other "normal" galaxies), how would we, or rather, would we be able to distinguish if it was made up of matter ...