In its simplest form Monte-Carlo integration allows to estimate a area/volume with complicated boundaries by taking a number of samples and looking at which fraction fall inside the object of interest.
🎢🧪⚛️ #ComputationalPhysics
In its simplest form Monte-Carlo integration allows to estimate a area/volume with complicated boundaries by taking a number of samples and looking at which fraction fall inside the object of interest.
🎢🧪⚛️ #ComputationalPhysics
Sometimes you need to forego the intuitive way to define stuff for the sake of actually being able to do anything useful with those definitions.
#knots 🧪 🎢
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Sometimes you need to forego the intuitive way to define stuff for the sake of actually being able to do anything useful with those definitions.
#knots 🧪 🎢
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Every crystal plane is perpendicular to a combination of the reciprocal lattice vectors. The (integer) coefficients of these combinations are known as "Miller Indices".
🧪 #Physics #ITeachPhysics
Every crystal plane is perpendicular to a combination of the reciprocal lattice vectors. The (integer) coefficients of these combinations are known as "Miller Indices".
🧪 #Physics #ITeachPhysics
arxiv.org/abs/2404.14088
arxiv.org/abs/2404.14088
Light propagates in a straight line and we see only the light that comes to our eyes, so you usually don't see the light's path.
Unless it is misty, in which case light can scatter on the water droplets and you can "see" where the light is ("Tyndall effect").
🧪⚛️🎢💡
Light propagates in a straight line and we see only the light that comes to our eyes, so you usually don't see the light's path.
Unless it is misty, in which case light can scatter on the water droplets and you can "see" where the light is ("Tyndall effect").
🧪⚛️🎢💡
#Physics #Photonics #Optics
iopscience.iop.org/article/10.1...
#Physics #Photonics #Optics
iopscience.iop.org/article/10.1...
The "Wigner-Seitz" primitive cell is the region of space that is closer to a given point in the lattice. It has the advantage of being a primitive cell with the same symmetries as the Bravais lattice
🧪 #Physics #ITeachPhysics
The "Wigner-Seitz" primitive cell is the region of space that is closer to a given point in the lattice. It has the advantage of being a primitive cell with the same symmetries as the Bravais lattice
🧪 #Physics #ITeachPhysics
#PhysicsFactlet
Optical fibre modes are weird but oddly mesmerizing.
#Optics #OpticalFibers
#PhysicsFactlet
Optical fibre modes are weird but oddly mesmerizing.
#Optics #OpticalFibers
If you put apertures of different shapes in the path of a plane wave, you get different diffraction patterns. And with a bit of experience you can say a lot about the aperture shape just by looking at the diffraction pattern.
#Physics #Optics #Photonics #ITeachPhysics
If you put apertures of different shapes in the path of a plane wave, you get different diffraction patterns. And with a bit of experience you can say a lot about the aperture shape just by looking at the diffraction pattern.
#Physics #Optics #Photonics #ITeachPhysics
Thanks to some humidity in the air the air flow around the plane wing is clearly visible. Instead of just being deflected by the wing, the air flow tend to stick to the wing (and vice versa), which pulls the wing up and allow the plane to fly.
⚛️🎢
Thanks to some humidity in the air the air flow around the plane wing is clearly visible. Instead of just being deflected by the wing, the air flow tend to stick to the wing (and vice versa), which pulls the wing up and allow the plane to fly.
⚛️🎢
Do you want an interpretation of quantum mechanics that doesn't really work that well in practice, but that would look fantastic for your Sci-Fi novel? I have for you "Many interacting words" (not to be confused with the similarly named "Many worlds interpretation").
a 🧵
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🧪⚛️🎢
Do you want an interpretation of quantum mechanics that doesn't really work that well in practice, but that would look fantastic for your Sci-Fi novel? I have for you "Many interacting words" (not to be confused with the similarly named "Many worlds interpretation").
a 🧵
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🧪⚛️🎢
An improvement over the bisection method is the so-called "false position" method, where instead of dividing the bracket region in two, you cut at the point where the line through the two bracket extremes crosses zero.
⚛️🎢
An improvement over the bisection method is the so-called "false position" method, where instead of dividing the bracket region in two, you cut at the point where the line through the two bracket extremes crosses zero.
⚛️🎢
A work in progress (trying to show diffraction by a crystal, but right now the whole thing is way too messy).
🧪 🎢 💡
A work in progress (trying to show diffraction by a crystal, but right now the whole thing is way too messy).
🧪 🎢 💡
A wave with a wavelength comparable with the interatomic spacing of a crystal will diffract, resulting in intensity peaks at different angles, that act as a "fingerprint" of the crystal structure.
🧪 ⚛️ #ITeachPhysics
A wave with a wavelength comparable with the interatomic spacing of a crystal will diffract, resulting in intensity peaks at different angles, that act as a "fingerprint" of the crystal structure.
🧪 ⚛️ #ITeachPhysics
Wavefront Shaping is a family of techniques used to control light (or, more generally, a wave) propagating through a scattering medium.
A 🧵
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🧪⚛️🎢💡
Wavefront Shaping is a family of techniques used to control light (or, more generally, a wave) propagating through a scattering medium.
A 🧵
1/
🧪⚛️🎢💡
Once we have the Bravais lattice, we can fully describe a crystal structure by specifying how the atoms are arranged around the lattice points (i.e. the "basis").
🧪 #Physics #ITeachPhysics
Once we have the Bravais lattice, we can fully describe a crystal structure by specifying how the atoms are arranged around the lattice points (i.e. the "basis").
🧪 #Physics #ITeachPhysics
The "Ashcroft/Mermin Project"
I will try to (likely very slowly) make one or more visualization per chapter of "Solid State Physics" by Ashcroft and Mermin, with the hope that they will be useful to people teaching/learning solid state Physics.
1/
The "Ashcroft/Mermin Project"
I will try to (likely very slowly) make one or more visualization per chapter of "Solid State Physics" by Ashcroft and Mermin, with the hope that they will be useful to people teaching/learning solid state Physics.
1/
In the past I have made a number of science threads on Xwitter. I now need a less volatile place where to keep them, so I started to copy-paste them into my personal page. It will take me forever, but here is a starting point: jacopobertolotti.com/LagrangianIn...
In the past I have made a number of science threads on Xwitter. I now need a less volatile place where to keep them, so I started to copy-paste them into my personal page. It will take me forever, but here is a starting point: jacopobertolotti.com/LagrangianIn...