Momentum Operator
- In Quantum Mechanics, The Momentum Operator Is A
Mathematical Operator That Corresponds To The Physical
Quantity Known As Momentum.
- It Is Denoted By The Symbol "P" And Is A Vector Operator,
Meaning It Acts On A Quantum State To Give Another Quantum
State With The Momentum Information.
- It's Important To Note That The Momentum Operator Is A
Linear Operator, Meaning It Satisfies The Properties Of
Linearity.
Cartesian Coordinate :
Cartesian Coordinate
- Let's Consider Plan Wave
- eikx Term Multiplied & Divide By ħ
- Derivation To Eqaution (1) With Respect To x
- Eqaution (3) Right Hand Side Multiplied & Divide By i
- Eqaution (4) Is Momentum Opertor In Cartesian Coordinate
Spherical coordinates :
- Let's Consider Spherical Wave
- eikx Term Multiplied & Divide By ħ
- Derivation To Eqaution (1) With Respect To r
- Eqaution (3) Right Hand Side Multiplied & Divide By i
- Eqaution (4) Is Momentum Opertor In Spherical Coordinates
Cylindrical Coordinate :
- Let's Consider Cylindrical Wave
- eikx Term Multiplied & Divide By ħ
- Derivation To Eqaution (1) With Respect To r
- Eqaution (3) Right Hand Side Multiplied & Divide By i
- eqaution (4) is momentum opertor in Cylindrical Coordinates
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