Quantum Numbers j,J: Values & Possibility of 0

Thread starter bruteforce
Start date Nov 15, 2010
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Numbers Quantum Quantum numbers

In summary, quantum numbers j and J are values used to represent the angular momentum of a particle in a quantum system and describe its intrinsic spin. They can take on both positive and negative values, including fractions and whole numbers, and can be equal to 0 in certain cases. There are restrictions on their values, such as the sum of j and J being an integer or half-integer. These values are typically derived from experiments and observations, but can also be predicted using theoretical calculations.

Nov 15, 2010

bruteforce

Homework Statement

which values can the quantum numbers j and J take on, can they take on the value 0?

Homework Equations

The Attempt at a Solution

j=l+s and both l and s can be 0 so j can become zero, am I right?

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Nov 15, 2010

JesseC

really depends on the context... quantum numbers of what?

1. What are quantum numbers j and J?

Quantum numbers j and J are values that represent the angular momentum of a particle in a quantum system. They are used to describe the intrinsic spin of a particle, which is a fundamental property of matter.

2. What are the possible values for quantum numbers j and J?

The possible values for quantum numbers j and J depend on the type of particle and the quantum system in which it exists. In general, j and J can take on both positive and negative values, including fractions and whole numbers.

3. Can quantum numbers j and J be equal to 0?

Yes, it is possible for quantum numbers j and J to have a value of 0. This can occur in certain quantum systems where the particle has no intrinsic spin, such as in the case of a particle-antiparticle pair with opposite spins cancelling each other out.

4. Are there any restrictions on the possible values of quantum numbers j and J?

Yes, there are certain rules and restrictions that govern the values of quantum numbers j and J. For example, in a given quantum system, the value of j can never be greater than J. Additionally, the sum of j and J must be an integer or half-integer value.

5. How are quantum numbers j and J measured or determined?

Quantum numbers j and J are typically derived from experiments and observations of a particular quantum system. In some cases, theoretical calculations and models can also be used to predict or estimate these values. However, due to the complex nature of quantum systems, it can be challenging to precisely measure or determine these values.