Angular momentum in bracket notation

In summary, angular momentum in bracket notation is a mathematical representation of the rotational momentum of subatomic particles in quantum mechanics. It is expressed as the product of a vector operator and a state vector, denoted by L and ψ respectively. Angular momentum is a fundamental property in quantum mechanics and is conserved in closed systems. It is measured by applying the vector operator L to the state vector ψ, resulting in a quantized value. While it cannot be fully described by classical mechanics, the concept of angular momentum is relevant in both classical and quantum mechanics.
  • #1
Alexis21
6
0
Hello,

why is

[itex] <j' m' | j m>=0[/itex]

if

[itex] j \not= j' \; \text{or} \; m \not= m'[/itex]

j and m are describing states. I don't understand why an 'empty bracket' behaves like that.
 
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Related to Angular momentum in bracket notation

1. What is angular momentum in bracket notation?

Angular momentum in bracket notation is a mathematical representation of the rotational momentum of a physical system. It is commonly used in quantum mechanics to describe the movement and momentum of subatomic particles.

2. How is angular momentum expressed in bracket notation?

In bracket notation, angular momentum is expressed as the product of a vector operator and a state vector. The vector operator is usually denoted by the symbol L, and the state vector is typically represented by the Greek letter psi (ψ).

3. What is the significance of angular momentum in quantum mechanics?

Angular momentum is a fundamental property of particles in quantum mechanics, and it plays a crucial role in determining the behavior and interactions of subatomic particles. It is also conserved, meaning it remains constant in a closed system, making it an important concept in understanding the laws of physics.

4. How is angular momentum measured in bracket notation?

In bracket notation, angular momentum is measured by applying the vector operator L to the state vector ψ. The resulting value is the magnitude and direction of the angular momentum of the particle.

5. Can angular momentum be described by classical mechanics?

No, angular momentum in quantum mechanics cannot be fully described by classical mechanics. In classical mechanics, angular momentum is a continuous quantity, while in quantum mechanics, it is quantized, meaning it can only take on specific discrete values. However, the concept of angular momentum is still relevant in both classical and quantum mechanics.

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