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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 quantum-field-theory tag for the theory of many-body quantum-mechanical systems.

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Do two electrons with the same $(n, \ell, m_\ell)$ but different $m_s$ have different wavefu...

Generally, not. It is true that when we consider the non-relativistic Hamiltonian with Coloumb interaction as the only interaction, there is no reference to spin, which indicates that all spin states …
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1 vote
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Unpolarized spin 1/2 particles

I think it can not be derived. In quantum mechanics, we define the state of system as a unit vector $|\Psi\rangle$ in a Hilbert space. Observables are operators acting over this Hilbert space and both …
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1 vote

(Qualitative) Quantum explanation of simple electric phenomenon

I'll answer your question with two analogous problems that I found in quantum mechanics and I'll try to mix both analogies to find the final answer Analogy with electron scattering in impurities of th …
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1 vote

Why the energy state n cannot equal 0?

If the quantum number $n=0$, it means that you have $\psi_n (x) =0$ and $E_n=0$, i.e., no particle inside the box, which doesn't fit the conditions of "a particle in a box". In non-relativistic Quantu …
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1 vote

Quantum Mechanics - particle interaction with a potential step

why is it possible without losing of generality? You are solving the time independent Schrodinger equation, so it means that you are finding a set of solutions of the equation. Maybe not the most ge …
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3 votes
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Are the eigenstates of an electron in the hydrogen atom coordinate dependent?

There is an elegant way to check how will be the new eigenfunctions of the changed Hamiltonian. A change of origin is equivalent to a displacement of the system. Such transformation could be represent …
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Does a charged quantum harmonic oscillator in ground state perturb EM field?

I explored two different approach, semiclassical and quantum. Semiclassical approach We can consider the electric field radiated by an accelerated charge (as in The Feynman lectures Vol. I chapter 28. …
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5 votes
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Why do we say $E=hf$ supports particle nature of light?

which supports the particle nature of light. In fact, it doesn't. First, Planck's law is not only about this mathematical relation, but it includes a discretization process. The density of modes per …
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4 votes
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Is the Classical limit of Quantum theory the Newtonian Mechanics?

Recently I started to study Quantum Dissipative models like Caldeira-Leggett model and it occurs to me that this model provides a Quantum to Classical transition, but the Classical resultant system sa …
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2 votes

How to prove this equation in quantum information theory?

If I understand it correctly, $\mathcal P_n$ forms a basis for Hermitian operators acting over the space of $n$ qubits. For example, if $n=1$, $\mathcal P_1 = \{\mathbb I,X,Y,Z\}$, and any state $\rho …
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4 votes

Why is an unpolarized beam considered an incoherent mixture of equal weights?

The best way to understand polarization coherence is through the Poincare Sphere. When we deal with polarized light, the approach for perfect coherent beams is to describe polarization using the polar …
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Why do flux qubits have to be micrometer-sized?

I think one possible answer for this question, in addition to all good comments here present, could be found in the A. Caldeira book entitled An introduction to Macroscopic Quantum Phenomena and Quant …
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Travelling slit in double slit experiment

Let's try to calculate it. I'll consider a double slit experiment where the slits are a distance $d$ apart from each other in the $y$ axis, the wave moves in the $x$ direction with frequency $f$ and t …
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1 vote
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About Aharonov-Bohm presentation in Aharonov and Rohrlich book

I'm currently reading the book Quantum Paradoxes: Quantum Theory for the Perplexed by Aharonov and Rohrlich and in chapter 4 they show the existence of AB effect. I'm already familiar with the explana …
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2 votes

Einstein–Podolsky–Rosen (EPR) paradox and Everett interpretation

All interpretations of Quantum Mechanics explain the Einstein-Podolsky-Rosen paradox by its own way. If it is "satisfactory" or "easily explained" is quite personal, and I would say that it could not …
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