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Rectangular potential barrier

In quantum mechanics, the rectangular (or, at times, square) potential barrier is a standard one-dimensional problem that demonstrates the phenomena of wave-mechanical tunneling (also called "quantum tunneling") and wave-mechanical reflection. The problem consists of solving the one-dimensional time-independent Schrödinger equation for a particle…

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Remarks and applications

ConductingEffective massScanning tunneling microscopeSeparableAnsatz
6 related topics

Calculation

HamiltonianPlanck constantMassHeaviside step functionKinetic energy
9 related topics

Analysis of the obtained expressions

AboveLimitL'Hôpital's rule
3 related topics

Transmission and reflection

Symmetry
1 related topics

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Calculation

Transmission and reflection

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Rectangular potential barrier

Nodes35
Edges34
Triples0
Avg. degree1.94
Density0.057143
Components1

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Important terminology

displaystyle barrier particle energy wave frac case left potential transmission reflection function equation hbar right height reflected may quantum schrödinger

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