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Results tagged with quantum-mechanics
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user 353
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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Why Quantum correlation is not uniform in this diagram?
Because of sloppy drawing. The curve should be symmetric.
Solution: pay graphic artists more! :D
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What is mean by 'good quantum number' in spectroscopy?
Good quantum number are associated with operators that commute with the Hamiltonian. They correspond to conseved quantities.
Overall angular momentum is conserved, but the portions of it due to or …
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Example of the time-independent Schrödinger equation having a complex solution?
In one dimension, a running wave, as eq. (2) in that question. There isn't any more one can do in 1D that won't come out seeming contrived.
In two dimensions, a good example is a circular box, or …
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Complex energy eigenstates of the harmonic oscillator
"the hamiltonian must have only real eigenvalues, since it is hermitian." - only for physically meaningful systems. You have put $a=i$, meaning $m$ or $\omega$ is negative - or maybe in some bizarre …
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Is quantum entanglement mediated by an interaction?
There is no effect of the one measurement event upon the other. It is not until the results from both measurements are brought together for comparison, and accumulated statistically, that it gets int …
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Particle coming across a step potential barrier
One way to define force is as dp/dt - rate of change in momentum. Or, over s finite time interval, $\Delta p = \int F dt$ F, as you say, is a dirac function, infinitely strong but experienced by th …
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Quantization of orbital angular momentum
Back in those early days, Bohr hadn't really thought about L as a vector. He just wanted to get an integer number of wave cycles to fit into an orbit. Thus, the simple formula. It would work fine …
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Super High Frequency Electromagnetic Radiation - String Theory
The strings aren't physical objects that we can do things to. Remember, electromagnetic radiation is itself made of the same fundamental strings. As for the energy estimate, yes that's the range of …
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Problem book in Quantum mechanics with emphasis on physical(ly relevant) problems
There is no one ideal textbook or source of problems of any particular type, and even if you did find one, if you are at all serious about earning a degree and having a career in physics or engineerin …
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What Quark and Anti-quark are electrically neutral Pions made out of?
Up and anti-up.
Or down and anti-down.
Funny thing is, both of those have the exact same quantum numbers - parity, spin, baryon number and the rest. So a neutral pion can be a mixture of (u + a …
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Does the Pauli exclusion principle instantaneously affect distant electrons?
Such claims as with these electrons should not be taken as strict fact, or used to draw such conclusions about physical reality.
For two identical systems, such as two neutral hydrogen atoms, separ …
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Do spin-polarised Cooper Pairs break the Pauli exclusion Principle?
The spin part may have become symmetric, but no problem if the spatial part goes antisymmetric. Spatial space isn't useful for quasiparticles in condensed matter; momentum space is better. As the mom …
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Is it possible to define a "it went through two slits" observable?
This concerns the famous two-slit experiment. Electrons or photons or your favorite particle, doesn't matter. As we all know, the attempt to detect which slit the quanta pass through leads to loss …
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What are some useful ways to imagine the concept of spin as it relates to subatomic particles?
There's a paper$^{1}$ by Battey-Pratt and Racey with an intuitive model of spin 1/2. I'm not sure if it related to reality, but is an interesting read and attempt at an intuitive understanding.
-- …
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Eigenstate of position+momentum?
Go look up "Fractionally Iterated Fourier Transforms". This is a rich area of applied mathematics for physics and engineering.
Position and momentum operators are Fourier Transforms of each other. …
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