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Formulas

Quantum Mechanics

Showing formulas of Quantum Mechanics

Physics
Subject
Showing 11 of 11 formulas Page 1 of 1

De Broglie Wavelength

Physics → Quantum Mechanics → Dual Nature of Matter → Wave-Particle Duality
$$\lambda = \frac{h}{p}$$
Assigns a wavelength to a particle based on its momentum.
📖 Physics 📚 Dual Nature of Matter

Planck-Einstein Relation

Physics → Quantum Mechanics → Photons → Energy Quantization
$$E = hf$$
Relates the energy of a photon to its frequency.
📖 Physics 📚 Photons

Heisenberg Uncertainty Principle

Physics → Quantum Mechanics → Modern Physics → Quantum States
$$\Delta x \Delta p \geq \frac{\hbar}{2}$$
States that the position and momentum of a particle cannot both be measured exactly at the same time.
📖 Physics 📚 Modern Physics

Planck Equation

Physics → Quantum Mechanics → Photons → Energy
$$E = hf$$
Energy of photon
📖 Physics 📚 Photons

Schrödinger Equation (Time-Independent)

Physics → Quantum Mechanics → Wave Mechanics → Schrödinger Equation
$$\hat{H}\psi = E\psi$$
Eigenvalue equation for quantum states, where $\hat{H}$ is the Hamiltonian operator.
📖 Physics 📚 Wave Mechanics

Planck's Relation

Physics → Quantum Mechanics → Old Quantum Theory → Photon Energy
$$E = h\nu$$
Energy of a photon is proportional to its frequency.
📖 Physics 📚 Old Quantum Theory

Schrodinger Equation

Physics → Quantum Mechanics → Wave Mechanics → Quantum State
$$i\hbar \frac{\partial \psi}{\partial t} = -\frac{\hbar^2}{2m} \nabla^2 \psi + V\psi$$
Quantum wave equation
📖 Physics 📚 Wave Mechanics

Einstein's Photoelectric Equation

Physics → Quantum Mechanics → Dual Nature of Matter → Photoelectric Effect
$$K_{\max} = hf - \Phi$$
Relates the maximum kinetic energy of emitted photoelectrons to the frequency of incident light and the work function of the material.
📖 Physics 📚 Dual Nature of Matter

Radius of nth Bohr Orbit

Physics → Quantum Mechanics → Atomic Structure → Bohr Model
$$r_n = \frac{n^2 h^2 \epsilon_0}{\pi m e^2} = n^2 a_0$$
Radius of electron orbit in hydrogen atom according to Bohr model.
📖 Physics 📚 Atomic Structure

Energy Levels in Bohr Model

Physics → Quantum Mechanics → Atomic Structure → Bohr Model
$$E_n = -\frac{m e^4}{8 \epsilon_0^2 h^2 n^2} = -\frac{13.6\,\text{eV}}{n^2}$$
Energy of electron in nth orbit of hydrogen atom.
📖 Physics 📚 Atomic Structure

Photon Energy from Wavelength

Physics → Quantum Mechanics → Light → Photon Properties
$$E = \frac{hc}{\lambda}$$
Energy of photon in terms of wavelength.
📖 Physics 📚 Light
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