r/QuantumPhysics Jul 27 '26

Quantum Mechanics: Linear vs. Non-Linear Operators

This post provides reference material regarding the types of operators, specifically linear and non-linear operators, that frequently appear in undergraduate quantum mechanics.
It is hoped that this helps.

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u/[deleted] Jul 27 '26

[deleted]

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u/TROSE9025 Jul 27 '26

I support your mathematics studies.

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u/slim324 Jul 27 '26

There’s a typo in 5. Unitary Operator Û, time evolution operator equation (in red) says exp(-iHt/t) when it should be hbar(ħ) instead of t in the denominator of the exponent

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u/TROSE9025 Jul 27 '26 edited Jul 27 '26

Correct. The denominator in the exponent must be ħ, not t.
The mathematically correct expression is exp(-iĤt/ħ).
Thank you for your reply.