calculates the energy levels and selected state probability density of a one-dimensional infinitely deep potential well.
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Non-relativistic particles, infinite potential barriers, and zero potential energy in the well; the particle mass is input as a multiple of the electron mass.
Particle in a Box: uses and methods
calculates the energy levels and selected state probability density of a one-dimensional infinitely deep potential well.
Applicable scope and calculation boundary
Non-relativistic particles, infinite potential barriers, and zero potential energy in the well; the particle mass is input as a multiple of the electron mass.
model and reference method
En=n²π²ℏ²/(2mL²); ψn=√(2/L)sin(nπx/L)
model version: 1.1.0. The results are used for scientific research, exploration and teaching, please interpret according to the model conditions.
input parameters
potential well width（nm）
Value range: 0.001 – 1000000
quality / electronic quality
Value range: 0.001 – 1000000
quantum number n
Value range: 1 – 20
How to use
Load the example or enter data that matches the field description.
Confirm units and models, run calculations and check diagnostics.
Export charts, tables or results packages and record model versions.
Industry Application · Independent Reproduction Example
Particle in a Box
Estimating the energy scale of quantum confinement in teaching nanodevices.
Public industry reference: University of Waterloo · Institute for Quantum Computing
The institution’s public research directions include: Quantum computing, algorithms, experiments and quantum information. This link serves as a portal for field background and extended learning.
Load the default example of Particle in a Box and check potential well width、quality / electronic quality、quantum number n and its units.
is calculated using En=n²π²ℏ²/(2mL²); ψn=√(2/L)sin(nπx/L), and the results are compared after adjusting a single parameter.
checks applicable conditions and diagnostics, and exports numerical tables, charts, and model versions for review.
Deliverables
calculates the energy levels and selected state probability density of a one-dimensional infinitely deep potential well. delivers parameter records, calculation charts, and reproducible JSON result packages.
needs to be checked before landing
Non-relativistic particles, infinite potential barriers, and zero potential energy in the well; the particle mass is input as a multiple of the electron mass.。
case is compiled for public industry purposes, and the reproduction steps are independent examples of this site; it does not mean that the above-mentioned institutions use or endorse this site, nor does it cite customer benefits that have not been publicly verified.
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