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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2
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2answers
67 views

Spin-orbit model; Hamiltonian seems to be non-Hermitian

I'm working on an exercise and I'm getting quite stuck. We define $\sigma$ as the vector of Pauli matrices.The Hamiltonian is formulated as: $ H_1 = -\frac{\hbar^2 k^2}{2 m} + \alpha \left(\sigma ...
0
votes
1answer
62 views

Fractional number of particles in the universe?

Is it possible, that the metagalaxy contains a fractional (non whole) number of particles or fractional number of a particular kind of particles (such as electrons)? Sorry, if my question is stupid, ...
0
votes
2answers
31 views

Pair Production in Entangled Photons

Two high-energy photons are entangled and go their separate ways. One of them undergoes pair production by interacting with an atomic nucleus, and this is observed. Does the other photon also undergo ...
1
vote
1answer
39 views

Controlled Phase Gates

The Quantum Fourier Transform consists of 2 gates. Controlled Phase Gates, and Hadamard gates. I'm assuming the Controlled Phase Gate is a combination of a Control Gate, and a Phase Gate. But what ...
-4
votes
0answers
66 views

Are we teleporting? [closed]

First of all - i'd like to declare that i'm a complete and utter noob when it comes to anything physics or mathematics involved.So please be patient with me and explain everything to me in layman's ...
2
votes
1answer
54 views

finding generic Quantum circuits for k-local hamiltonians

Let $P_n$ denote the Pauli group on $n$ qubits (think of n as a large number). Let $G=\left<g_1,...,g_n\right> < P_n$ be some abelian subgroup such that each $g_i$ acts on at most $k\ll n$ ...
-2
votes
0answers
55 views

Singularity in the context of the Quantum mechanics [closed]

In the TV program , Professor Michio Kaku had told that singularity can be defined as the rotation of the neutron . I'm searching whether the insist was right or wrong . How does the quantum mechanics ...
0
votes
0answers
40 views

Lowering operator and degenerate eigenvalue [duplicate]

In this video at 5:00: https://www.youtube.com/watch?v=xniXpD3bCYU David Miller derives how the lowering operator $\hat a$ produces some wave function that has the eigenvalue $(n-1)$; thus it ...
-1
votes
0answers
33 views

How can we construct wavefunction using given density matrix? [on hold]

I have recently learnt that for isolated systems, density matrix and the wavefunction have same information content. Given a density matrix for an isolated system, is it possible to reconstruct the ...
-2
votes
1answer
50 views

Probablity Wave and Wavefunction [closed]

Are wave function and probability wave same? Well I am a bit confused about wavefunctions and probability waves. I read in Fabric of the Cosmos by Brian Greene that they are same. Please help me and ...
0
votes
2answers
63 views

Using slope=0 technique to find most likely spherical shell

In this PDF http://riedo.gatech.edu/Teaching/Modern_Physics/hw/HW3_2010_MP_SOL.pdf problem#1, the instructor solves the question of which spherical shell (what radius $r$) has the greatest ...
6
votes
3answers
110 views

How to understand the motion of a particle in Quantum Mechanics?

In Classical Mechanics when we talk about the motion of a particle it is the same as talking about the idea of trajectory. The fact is that in Classical Mechanics, a particle has a definite position ...
0
votes
1answer
42 views

Barycenter and relative coordinates for schroedinger equation of the hydrogen atom

Heyho, i just realized i am not sure how one gets from: $\Big(-\frac{\hbar^2}{2m_e} \Delta_{r_e} - \frac{\hbar^2}{2M_P} \Delta_{r_p} +V(r) \Big)\Psi(r_e,r_p) = E \Psi(r_e,r_p)$ to: ...
4
votes
3answers
478 views

Schroedinger equation for hydrogen atom

I have got a problem understanding the meaning of the Laplace operator in the Schrödinger equation for the hydrogen atom. $$\Big(-\frac{\hbar^2}{2m_e} \Delta_{r_e} - \frac{\hbar^2}{2M_P} \Delta_{r_p} ...
1
vote
0answers
100 views

Quantum Liouville-Propagator Operator Trace Identity [closed]

How can i proove: $Tr(Ae^{Lt}B)=Tr(Be^{-Lt}A)$ were $A$ and $B$ are Observables in the Schrödinger picture and $L$ is the Quantum Liouville super-operator defined by: $LA={ i \over \hbar} [H,A]$ ...
0
votes
0answers
22 views

Calculation of lowest energy [closed]

5 spin 1/2 particles are under an 1D harmonic oscillator potential.What is the lowest energy states of the system? I primarily tried it considering no degeneracy of any eigenstates.But I got it wrong. ...
0
votes
1answer
22 views

Time evolution of expectation value of an operator

I'm studying QM from Sakurai, and I have a doubt regarding the proof given that in the case of time independent Hamiltonian the expectation value of an observable doesn't change with time. The ...
-2
votes
0answers
24 views

Suggest an experiment which demonstrates that a photon must explore both paths through a beam splitter? [on hold]

A left-circularly polarised photon is incident on an x-y beam splitter. Suggest an experiment that demonstrates that the photon must explore both paths through the beam splitter.
2
votes
0answers
49 views

Free probability in Physics

Recently I have started reading some materials on non-commutative probability. IN this area mathematicians sometimes consider quantum theory as a non-commutative version of classical probability, with ...
0
votes
2answers
35 views

Intuitive interpretation of angular momentum in a macroscopic system

My professor defined the angular momentum operators in quantum mechanics as the infinitesimal rotations in the Hilbert space of quantum states. I'm looking for a qualitative, intuitive explanation of ...
4
votes
2answers
227 views

The curious case of the time derivative of the expectation value of the position

Having defined the expectation value of position as follows $$ \langle x \rangle = \int x {\lvert\Psi(x,t)\rvert}^2dx $$ The time derivative of the expectation value is derived in my literature in ...
0
votes
3answers
55 views

Does a magnetic field disentangle an EPR pair?

The spins of the both electrons of an EPR pair are undetermined before one conducts a measurement on one of them. Does a magnetic field determine (set up or down) the spin of one partner of an EPR ...
1
vote
1answer
42 views

Can a beam of light be modulated close to it's frequency?

I'm wondering if it would be possible to modulate a signal using photon pulses - where the frequency of the signal would be close to the frequency of the light. Also would it be possible to transmit ...
0
votes
1answer
45 views

Why is there no $1S_{-1/2} $ state of the hydrogen atom?

Heyho, i found this term scheme for the hydrogen atom: https://upload.wikimedia.org/wikipedia/commons/9/94/Wasserstoff_Aufspaltung.svg I was wondering why there is only a $1S_\frac{1}{2}$ state and ...
1
vote
1answer
26 views

Sequential Stern-Gerlach devices - realizable experiment or teaching aid?

At least one textbook [1] uses sequential Stern-Gerlach devices to introduce to students that the components of angular momentum are incompatible observables. Viz., the $z$-up beam from a SG device ...
0
votes
3answers
82 views

How many fields that we know of permiate the universe?

The Higgs field, as I understand it reading layman's articles, permeated the entire universe only a fraction of a second after the big bang. Are there any other fields that they know about or ...
2
votes
2answers
52 views

A classical universe from a quantum one?

I don't understand how our quantum Universe suddenly becomes classical. If quantum mechanics governs everything - and accordingly nothing is determined - then how do we have a past history that goes ...
2
votes
5answers
222 views

Eigenspaces of angular momentum operator and its square (Casimir operator)

The casimir operator $\textbf{L}^2$ commutates with the elements $L_i$ of the angular momentum operator $\textbf{L}$: $$ [\textbf{L}^2, L_i] = 0. $$ However, the $L_i$ do not commutate among ...
2
votes
2answers
94 views

Differences in measurement between quantum physics and classical physics?

I know that there are differences in measurement due to quantisation, probability, and collapse in quantum physics, but I am having trouble explaining how these ideas relate to measurement in an ...
1
vote
0answers
41 views

A follow up on “Double Slit Experiment in a Bubble Chamber”

The exact title is "Has a double slit experiment ever been done using a track chamber or even contemplated?". I was totally unfamiliar with the concept of the bubble chamber, so I did some amateur ...
2
votes
0answers
36 views

Why is the activation energy of combustion so large compared with regular bonding?

I wanted to know why combustion requires an activation energy and I found this article (see this too). It says that molecular oxygen ground state is a triplet state (according to Hund's rules), and ...
0
votes
1answer
74 views

Is it possible to plot a quantum particle's position with respect to time?

If I shoot an electron through a substance, is it theoretically possible to plot its path through said substance? Has this been experimentally done?
0
votes
1answer
34 views

Trapping time and site population

In thr article environment assisted quantum transport, the trapping time probability for the FMO complex, a measure of the energy transfer efficiency, is defined $2\kappa_3\int^\infty_0 dt\langle ...
1
vote
4answers
258 views

Is the uncertainty principle a statement about limits on our predictive rather than our measurement abilities?

Here's what I know. The Uncertainty Principle states that $$\sigma_x \cdot \sigma_p \geq {{\hbar} \over 2}$$ However, I also know that this principle refers to measurements performed over many ...
0
votes
0answers
50 views

Superposition and Feynman path integral [on hold]

Chapter 1-7 of Richard Feynman: The Feynman lectures on Physics. Quantum Mechanics. summarizes “When an event can occur in several alternative ways, the probability amplitude for the event is the ...
0
votes
2answers
82 views

How to interpret physical quantities in a superposition state?

When a spin 1/2-particle is in a superposition of spin-up and spin-down states: Should one consider the particle spin undefined in the superposition state or should one consider the particle spin ...
1
vote
0answers
29 views

Does the double split experiment set boundaries to the concept of localization?

Feynman's textbook on quantum mechanics starts with the double split experiment for single electrons, see chapter 1-5. The astonishing result is the self-interference of the single electron as long as ...
1
vote
2answers
731 views

What the lifetime of a massless black hole of photons?

Let a bundle of photons very concentrated in a very small area so that the space-time is curved as a black hole, and the photons can't escape: this is what I call a massless black hole of photons. ...
2
votes
3answers
58 views

Observing a photon during flight

When I was reading about the double-slit experiment in quantum mechanics, everything seems to make sense in terms of the waves and the interference pattern, but if thinking more about this ...
0
votes
0answers
28 views

about Conservation laws and Correlation function

I'm reading a review paper by Gorden Baym-(http://www.worldscientific.com/doi/abs/10.1142/9789812793812_0002) In the second part, he raised that: According to conservation law $\frac{\partial ...
8
votes
3answers
516 views

Two definitions of Green's function

In literature, usually two types of definition exist for Green's function. $\hat{L}G=\delta(x-x')$. This equation states that Green's function is a solution to an ODE assuming the source is a delta ...
0
votes
1answer
43 views

What is time evolution operator?

Could you explain to me (level 1 years undergrade) what is a time evolution operator? I read on Wikipedia, and it confuses me.
2
votes
1answer
158 views

Obtain the Lagrangian from the system of coupled equation

In this particular paper, "Interaction between a moving mirror and radiation pressure: A Hamiltonian formulation" by C.K.Law, PhysRevA.51.2537 \begin{equation} ...
3
votes
2answers
54 views

Distinction between state space and space of functions

In Quantum Mechanics a particle is described by its wave function $\Psi : \mathbb{R}^3\times \mathbb{R}\to \mathbb{C}$. In that sense, the state of a particle at time $t_0$ is characterized by a ...
1
vote
1answer
59 views

Does a charged particle propagating in free space have a 'self-energy' like term due to it’s interaction with the fluctuations of the quantum vacuum? [closed]

Does a charged particle propagating in free space have a 'self-energy' like term due to it’s interaction with the fluctuations of the quantum vacuum? (particle-antiparticle pairs popping into and out ...
3
votes
1answer
52 views

Effective theories and unbounded operators

If you have two operators, one the true Hamiltonian $H$ and one we call an effective Hamiltonian $H_{eff}$ and say they agree on every eigenvector with eigenvalue up to $E_{eff}.$ Above that, they can ...
0
votes
1answer
76 views

What's the difference between vacuum particle-antiparticle annhiliation and regular annihilation?

Why does vacuum particle-antiparticle creation and annihilation result in nothing rather than photons? What is the difference between that and regular annihilation that does result in photons.
10
votes
3answers
357 views

Bound states of the $V(x)=\pm \delta'^{(n)}(x)$ potential?

The $\delta(x)$ Dirac delta is not the only "point-supported" potential that we can integrate; in principle all their derivatives $\delta', \delta'', ...$ exist also, do they? If yes, can we look for ...
0
votes
1answer
61 views

Why isn't it possible to determine a particle's position without changing its velocity

So, I think understand the premise of the Heisenberg uncertainty principle, but it seems to me that someone would be able to create a device which would be able to measure the position of a particle ...
0
votes
0answers
24 views

History of delta barrier in QM [migrated]

I'm interested in finding something out about the history of the problem of the delta potential barrier in QM. Which was the first study to propose this problem, and perhaps any particular motivation ...