Quantum Mechanics Calculator - Wave-Particle Duality

This physics calculator helps you calculate quantum mechanics parameters including energy levels, wave functions, and uncertainty principle. Quantum mechanics is fundamental to understanding atomic and subatomic behavior.

Quantum Mechanics Definition

• Quantum Mechanics: Physics of atomic and subatomic particles
• SI Unit: J⋅s (Joule-second) for action
• Formula: E = hf (photon energy)
• Uncertainty: ΔxΔp ≥ ħ/2 (Heisenberg principle)

Quantum Mechanics Formulas

• Photon Energy: E = hf
• De Broglie Wavelength: λ = h/p
• Uncertainty Principle: ΔxΔp ≥ ħ/2
• Energy Levels: E = ħω(n + ½)
• Hydrogen Energy: E = -13.6 eV/n²
• Wave Function: ψ(x) = √(2/L)sin(nπx/L)

Applications

• Atomic Physics: Energy levels and transitions
• Quantum Computing: Qubits and superposition
• Quantum Chemistry: Molecular orbitals
• Particle Physics: Elementary particles
• Quantum Optics: Photon behavior
• Solid State Physics: Band structure

Important Notes

• Wave-particle duality
• Uncertainty principle
• Quantum superposition
• Quantum entanglement
• Discrete energy levels

Quantum Phenomena

• Tunneling: Barrier penetration
• Superposition: Multiple states
• Entanglement: Correlated states
• Interference: Wave behavior
• Quantization: Discrete values

Common Examples

• Hydrogen Atom: Energy levels
• Quantum Tunneling: Scanning tunneling microscope
• Wave Function: Electron orbitals
• Photon: Light particle
• Electron Spin: Magnetic moment

Quantum Mechanics Units

• Energy: J, eV, keV, MeV
• Wavelength: m, nm, Å, pm
• Frequency: Hz, THz, PHz
• Momentum: kg⋅m/s
• Action: J⋅s, ħ

Quantum Mechanics Measurement

• Spectroscopy: Energy level measurement
• Interferometry: Wave behavior
• Scattering: Particle interaction
• Resonance: Energy absorption
• Decay: Particle lifetime