#Wavefunction

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#Wavefunction Reel by @umtiquinhodefisica - Simulations of quantum wave packet evolution are among the most requested topics by followers and students interested in quantum mechanics. These visu
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@umtiquinhodefisica
Simulations of quantum wave packet evolution are among the most requested topics by followers and students interested in quantum mechanics. These visualizations help bridge the gap between abstract mathematical formalism and physical intuition, making quantum phenomena such as tunneling, reflection, and transmission easier to understand. In this simulation, we study the time evolution of a Gaussian wave packet moving toward a potential barrier. As the wave packet approaches the barrier, part of the probability amplitude is reflected, while another portion may tunnel through the barrier — a purely quantum effect with no classical counterpart. This phenomenon illustrates one of the most fundamental principles of quantum mechanics: particles behave as waves and their dynamics are governed by probability amplitudes. The numerical method used here is based on direct time evolution via the Hamiltonian operator. First, we construct the discrete quantum Hamiltonian on a spatial lattice, including both kinetic and potential energy terms. Then, the time evolution operator is computed using the unitary propagator $U = \exp(-i H dt)$ which is derived from the time-dependent Schrödinger equation. This operator is applied iteratively to the wave function, allowing us to track the quantum state as it evolves in time. This approach preserves unitarity and probability normalization, making it particularly robust for educational and visualization purposes. The simulation displays both the real part of the wave function and the probability density, along with dynamically calculated reflection and transmission coefficients. Beyond being visually engaging, this type of simulation provides deep insight into fundamental quantum behavior and serves as an excellent tool for teaching concepts such as wave-particle duality, tunneling, dispersion, and quantum interference. These simulations demonstrate how computational physics can transform abstract equations into dynamic and intuitive physical understanding.
#Wavefunction Reel by @astrinova.io (verified account) - Disclaimer:
This reel presents a simplified explanation of quantum tunneling in alpha decay for educational purposes. Analogies such as walls and vall
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@astrinova.io
Disclaimer: This reel presents a simplified explanation of quantum tunneling in alpha decay for educational purposes. Analogies such as walls and valleys are conceptual tools to help visualize energy barriers and probability, not literal physical structures. The description avoids mathematical formalism but remains consistent with established quantum mechanics and nuclear physics. In classical physics, a particle trapped behind an energy barrier can never escape unless it has enough energy to climb over it. Quantum mechanics rewrites that rule completely. In alpha decay, an alpha particle inside a nucleus does not behave like a tiny solid ball. It is described by a wave function that spreads out as a probability distribution. That wave does not abruptly stop at the nuclear energy barrier. Instead, it extends into and through it, creating a small but real chance that the particle is found outside the nucleus. When this happens, no extra energy is gained and no laws are broken. The particle does not jump or squeeze through a gap. It is simply detected on the other side due to quantum probability. This process, known as quantum tunneling, explains how radioactive decay occurs even when classical physics says escape should be impossible. #QuantumTunneling #AlphaDecay #QuantumMechanics #NuclearPhysics #PhysicsExplained
#Wavefunction Reel by @alphamaths.ai - Quantum Mechanics is the branch of physics that describes how nature behaves at the smallest scales - atoms, electrons, photons, and other fundamental
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@alphamaths.ai
Quantum Mechanics is the branch of physics that describes how nature behaves at the smallest scales — atoms, electrons, photons, and other fundamental particles. Unlike classical physics, where objects have definite positions and speeds, quantum mechanics reveals a reality that is: • Probabilistic — outcomes are described by probabilities, not certainties. • Wave–particle dual — particles behave like waves, and waves behave like particles. • Quantized — energy exists in discrete packets called quanta. • Non-classical — particles can exist in superposition (multiple states at once) and become entangled across vast distances. At its core, quantum mechanics replaces deterministic motion with a mathematical wave function that encodes all possible states of a system. When measured, this wave function appears to “collapse” into one definite outcome. It is the foundation of: Transistors and modern electronics Lasers MRI scanners Quantum computing Semiconductor technology In essence, quantum mechanics is not just a theory of tiny particles — it is the framework that governs the microscopic architecture of reality itself.
#Wavefunction Reel by @physictruth_ - In quantum mechanics, electrons do not travel in neat circular paths around the nucleus.
Instead, their behavior is described by a wave function, a ma
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@physictruth_
In quantum mechanics, electrons do not travel in neat circular paths around the nucleus. Instead, their behavior is described by a wave function, a mathematical expression that gives the probability of finding an electron in different regions of space. These regions are called atomic orbitals. An orbital is not a physical path, but a three-dimensional probability distribution. The electron’s exact position cannot be predicted in advance — only the likelihood of where it may be detected can be calculated. When a measurement is made, the wave function yields a specific outcome, and the electron is found at a definite location. This behavior is a direct consequence of the wave–particle nature of matter and the Heisenberg uncertainty principle, and it has been confirmed by countless experiments in atomic and quantum physics. #QuantumPhysics #QuantumMechanics #Electrons #AtomicOrbitals #WaveFunction ScienceFacts
#Wavefunction Reel by @prefrontalphilosophy - Quantum consciousness theory. 
Definitions to help: 
Microtubules: Tiny hollow tubes found inside the cytoplasm of cells with a nucleus, they provide
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@prefrontalphilosophy
Quantum consciousness theory. Definitions to help: Microtubules: Tiny hollow tubes found inside the cytoplasm of cells with a nucleus, they provide structure, shape, support and a transport network for the cell. Quantum computation: a new type of computing that uses quantum mechanics to solve complex problems, faster than traditional computers. Quantum state reduction: aka wave function collapse, is the process in quantum mechanics where a system that exists in multiple possible states simultaneously is forced to choose just one of those states. #psychology #sciencetok #neuroscience #quantumphysics #deepthinking
#Wavefunction Reel by @hundreddimensions0 - A particle just walked through a wall. 

No, seriously.

This is Quantum Tunneling  one of the strangest phenomena in physics. Classical mechanics say
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@hundreddimensions0
A particle just walked through a wall. No, seriously. This is Quantum Tunneling one of the strangest phenomena in physics. Classical mechanics says: if your energy is less than the barrier, you CANNOT pass. Game over. But quantum mechanics? It says: hold on... Every particle has a wave function ψ and that wave doesn't just stop at a wall. It leaks through. And if the barrier is thin enough, the particle appears on the other side. The probability? T = [1 + V₀²sinh²(κL) / 4E(V₀−E)]⁻¹ Notice how the particle dims inside the barrier that's the exponential decay of ψ. And how it emerges faint on the other side tunneled, but weakened. This isn't sci-fi. Your USB drive uses this. The Sun uses this to fuse hydrogen. Your DNA mutates because of this. Physics is weirder than fiction. Follow for more physics animations #QuantumMechanics #QuantumTunneling #Physics #PhysicsReels #ScienceExplained
#Wavefunction Reel by @pythonandscience - This simulation shows quantum interference of a wave packet hitting an S-shaped barrier with several slits.
In quantum mechanics, a particle (like an
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@pythonandscience
This simulation shows quantum interference of a wave packet hitting an S-shaped barrier with several slits. In quantum mechanics, a particle (like an electron) is described by a wave function ( \psi(x,y,t) ). The quantity ( |\psi|^2 ) represents the probability density, meaning where the particle is more likely to be found. At the beginning, we create a Gaussian wave packet on the left side, moving to the right with momentum ( k_0 ). When the wave reaches the curved barrier, most of it is blocked by the high potential ( V_0 ), but parts of the wave pass through the slits. After passing through different slits, the waves spread and overlap. Because quantum waves add together, they produce interference patterns: bright regions (constructive interference) and dark regions (destructive interference). The numerical method used is the split-step Fourier method. The Schrödinger equation has two parts: kinetic energy and potential energy. We apply half of the potential evolution in real space, then transform the wave to Fourier space to apply the kinetic evolution, and finally apply the other half of the potential. This works because in Fourier space, the kinetic operator becomes simple multiplication. By repeating this process many times with small time steps ( dt ), we simulate the time evolution of the quantum system.
#Wavefunction Reel by @stics.qc - Ever wondered what happens when light knows it is being watched? This clip plays with the observer effect in quantum mechanics, a principle where simp
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@stics.qc
Ever wondered what happens when light knows it is being watched? This clip plays with the observer effect in quantum mechanics, a principle where simply measuring or observing a particle can alter its behavior. At the smallest scales, particles like photons do not settle into a single state right away. Instead, they exist as a range of possibilities. In quantum physics, this idea is described through the wave function. Until an observation is made, a particle behaves like a spread out wave of potential outcomes. The moment it is observed, that wave collapses, and the particle takes on a definite state. Observation is not passive here. It becomes part of the experiment itself. This video uses humor to point at a deeply serious mystery. It reminds us that the universe does not always behave the way our everyday intuition expects. Even the act of looking can influence what is real, a concept that continues to challenge scientists and reshape how we understand nature. 🤔 Does the observer effect change how you think about reality? Follow for more science driven insights 👁️ #stics [quantum mechanics, observer effect, wave function collapse, photons, quantum physics, science concepts, physics education]
#Wavefunction Reel by @quantumfield.ai - A particle passing through a wall sounds impossible, but in quantum physics, it actually happens.

This phenomenon is called quantum tunneling. In cla
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@quantumfield.ai
A particle passing through a wall sounds impossible, but in quantum physics, it actually happens. This phenomenon is called quantum tunneling. In classical physics, a particle with less energy than a barrier cannot cross it. In quantum mechanics, particles behave like waves, and those waves extend into and beyond the barrier. If the barrier is thin enough, there is a real chance the particle appears on the other side. The transmission probability is: T = [1 + V₀² sinh²(κL) / 4E(V₀ − E)]⁻¹ Within the barrier, the wave function decreases exponentially, and beyond it, the particle continues with reduced intensity. This effect is not theoretical. It is used in flash memory devices, enables nuclear fusion in the Sun, and contributes to mutations in DNA. Quantum mechanics continues to challenge how we understand reality. Animation: @hundreddimensions0
#Wavefunction Reel by @factfuel.ai - Why does going first order matter? It treats time & space symmetrically-key for relativity. Dirac needed a 4-component wave function. #Physics #Quantu
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@factfuel.ai
Why does going first order matter? It treats time & space symmetrically—key for relativity. Dirac needed a 4-component wave function. #Physics #QuantumMechanics #Relativity #Science #DiracEquation #TheoreticalPhysics #STEM
#Wavefunction Reel by @evolving.qc - In the visualization, the color hue shows the phase of the wave function of the electron ψ(x,y, t), while the opacity shows the amplitude.

In the exa
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@evolving.qc
In the visualization, the color hue shows the phase of the wave function of the electron ψ(x,y, t), while the opacity shows the amplitude. In the example, the magnetic field is uniform over the entire plane and points downwards. If the magnetic field points upwards, the electron would orbit counterclockwise. Notice that we needed a magnetic field of the order of thousands of Teslas to confine the electron in such a small orbit (of the order of Angstroms), but a similar result can be obtained with a weaker magnetic field and therefore larger cyclotron radius. The interesting behavior showed in the animation can be understood by looking at the eigenstates of the system. The resulting wavefunction is just a superposition of these eigenstates. Because the eigenstates decay in the center, the time-dependent version would also. It’s also interesting to notice that the energy spectrum presents regions where the density of the states is higher. These regions are equally spaced and are called Landau levels, which represent the quantization of the cyclotron orbits of charged particles. These examples are made qmsolve, an open-source python open-source package we made for visualizing and solving the Schrödinger equation, with which we recently added an efficient time-dependent solver! This particular example was solved using the Crank-Nicolson method with a Cayley expansion. Credit: https://github.com/quantum-visualizations/qmsolve/blob/main/examples/time%20dependent%20solver%20examples/2D_cyclotron_orbit_magneticfield.py
#Wavefunction Reel by @quantumcosmic.space - Ever wondered what actually controls reality at its smallest scale?

This is the Schrödinger Equation, the formula that governs the quantum world.
Not
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@quantumcosmic.space
Ever wondered what actually controls reality at its smallest scale? This is the Schrödinger Equation, the formula that governs the quantum world. Not certainty… but probability. Instead of telling you where a particle is, it tells you where it might be. Everything comes down to the wave function (Ψ)… A mathematical object that holds all possible outcomes, until reality chooses one. This isn’t just physics. This is the code of the universe. Follow @quantumcosmic.space for more mind bending physics facts #schrodingerequation #quantummechanics #quantumphysics #physics #science

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