Quantum Mechanics Symbols: Symbols, Meanings, LaTeX and Unicode

Quantum notation combines complex vector spaces, linear operators, inner products, and probability amplitudes.

Symbol	Name and semantic role	LaTeX	Unicode	Action
⟨	Left Angle BracketA delimiter that groups, encloses, evaluates, or separates mathematical expressions.	`\langle`	`U+27E8`
⟩	Right Angle BracketA delimiter that groups, encloses, evaluates, or separates mathematical expressions.	`\rangle`	`U+27E9`

Symbol

Name and semantic role

LaTeX

Unicode

Action

⟨

Left Angle BracketA delimiter that groups, encloses, evaluates, or separates mathematical expressions.

\langle

U+27E8

⟩

Right Angle BracketA delimiter that groups, encloses, evaluates, or separates mathematical expressions.

\rangle

U+27E9

Symbol	Name and semantic role	LaTeX	Unicode	Action
ℏ	Reduced Planck ConstantA named mathematical constant or fixed symbolic quantity.	`\hbar`	`U+210F`
⊗	Tensor ProductAn operator, relation, connective, or notation mark whose meaning depends on its operands and context.	`\otimes`	`U+2297`

Symbol

Name and semantic role

LaTeX

Unicode

Action

ℏ

Reduced Planck ConstantA named mathematical constant or fixed symbolic quantity.

\hbar

U+210F

⊗

Tensor ProductAn operator, relation, connective, or notation mark whose meaning depends on its operands and context.

\otimes

U+2297

Verified notation examples

⟨

⟨ is used in a context where marks the left angle bracket used to group expressions, denote inner products, intervals, semantics, or specialized mathematical structures.

⟩

⟩ is used in a context where marks the right angle bracket used to group expressions, denote inner products, intervals, semantics, or specialized mathematical structures.

Frequently asked questions

How do I copy a quantum mechanics symbols symbol?

Use the Copy button in the table, then verify the Unicode code point if the destination can substitute look-alike characters.

When should I use LaTeX or MathML instead?

Use LaTeX for editable equations and MathML for semantic web mathematics. Plain Unicode is best for short text where the destination preserves the exact code point.