# Úvod
## Background information on de Broglie wavelength
– Introduced by Louis de Broglie in 1924
– Relates the wavelength of a particle to its momentum
– Fundamental concept of quantum mechanics
# Derivation of de Broglie wavelength formula
## Wave-particle duality
– Illustration of the wave-particle duality of matter
– Particles exhibit both wave-like and particle-like properties
## Momentum and wavelength
– Relationship between momentum and wavelength
– Derived from the principles of wave-particle duality
– Formula: λ = h / p (where λ is the de Broglie wavelength, h is Planck’s constant, and p is the momentum of the particle)
# Significance of the de Broglie wavelength formula
## Explanation of wave-like behavior
– Provides a theoretical framework for understanding the wave-like behavior of particles
– Explains phenomena such as diffraction and interference
## Applications in quantum mechanics
– Key concept in the development of quantum mechanics
– Used to explain phenomena at the atomic and subatomic level
– Fundamental in understanding the behavior of electrons and other particles
# Experimental confirmation
## Confirmation by Davisson and Germer
– Experimental setup and procedure conducted by Davisson and Germer in 1927
– Electrons diffracted by a crystal lattice, confirming the wave-like behavior of particles
– Supported the de Broglie wavelength formula
## Modern experiments
– Ongoing experiments using particles such as neutrons and atoms to confirm the de Broglie wavelength formula
– Further advances in technology have allowed for more precise measurements
# Závěr
– The de Broglie wavelength formula is a significant concept in quantum mechanics
– Provides a link between the wave and particle nature of matter
– Experimental confirmation by Davisson and Germer and ongoing research continues to support its validity
