TY - JOUR
T1 - What is the Frequency of an Electron Wave?
AU - Zurcher, Ulrich
N1 - Ulrich Zurcher, "What is the frequency of an electron wave?" Eur.J.Phys. 37 (4), 045401 (2016).
PY - 2016/7/1
Y1 - 2016/7/1
N2 - Particle-wave duality is a central tenet of quantum physics, and an electron has wave-like properties. Introductory texts discuss the wavelength-momentum relationship lambda = h/p, but do not discuss the frequency-energy relationship. This is curious since a wave is periodic both in space and time. The discussion in more advanced texts is not satisfactory either since two different expressions for the frequency are given based on the relativistic and non-relativistic expression for the electron energy. The relativistic expression yields the correct frequency, and we explain why the expression based on the Schrodinger equation gives the incorrect expression. We argue that the electron frequency should be discussed at the introductory level.
AB - Particle-wave duality is a central tenet of quantum physics, and an electron has wave-like properties. Introductory texts discuss the wavelength-momentum relationship lambda = h/p, but do not discuss the frequency-energy relationship. This is curious since a wave is periodic both in space and time. The discussion in more advanced texts is not satisfactory either since two different expressions for the frequency are given based on the relativistic and non-relativistic expression for the electron energy. The relativistic expression yields the correct frequency, and we explain why the expression based on the Schrodinger equation gives the incorrect expression. We argue that the electron frequency should be discussed at the introductory level.
KW - wave property; frequency; phase velocity
UR - https://engagedscholarship.csuohio.edu/sciphysics_facpub/190
UR - http://iopscience.iop.org/article/10.1088/0143-0807/37/4/045401/meta
U2 - 10.1088/0143-0807/37/4/045401
DO - 10.1088/0143-0807/37/4/045401
M3 - Article
VL - 37
JO - European Journal of Physics
JF - European Journal of Physics
ER -