Question
Download Solution PDFThe energy operator in one-dimension is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Schroedinger wave equation:
- Schrodinger wave equation is a mathematical expression describing the energy, momentum, and position of the electron in space and time.
- The Schrödinger equation (also known as Schrödinger’s wave equation) is a partial differential equation that describes the dynamics of quantum mechanical systems via the wave function.
EXPLANATION:
The one - dimensional time-dependent Schrödinger equation for a free particle is
Where Ψ(x,t) = Wave function, h = Planck constant and m = mass
The energy operator in one-dimension is given by:
NOTE:
The momentum operator in one-dimension is given by:
Last updated on Jul 7, 2025
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