Is the CMK matrix a constant for all experimental energies?

In summary, the CMK matrix is a mathematical tool used in quantum mechanics that describes the energy levels of a system in terms of its quantum numbers. It is not always constant and can change depending on external factors. The matrix is calculated using Clebsch-Gordan coefficients and can be used for all types of particles. It is closely related to the Schrödinger equation and helps to determine the state of a quantum system at a given time.
  • #1
Spinnor
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Is the CMK matrix a constant for all experimental energies that we can presently explore?

Thanks for your help!
 
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  • #2
The CKM matrix gives ratios between weak decay rates, for example n → peν vs Λ → peν. There is no energy range involved.
 
  • #3
In the standard model these parameters do run with energy, e.g. see section 4.7 of http://arxiv.org/abs/hep-ph/9912358.

If such running has been observed it ought to be in http://pdg.lbl.gov/2011/reviews/rpp2011-rev-ckm-matrix.pdf" but I don't see it mentioned. It may just be too small to be seen.
 
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Related to Is the CMK matrix a constant for all experimental energies?

1. What is the CMK matrix?

The CMK matrix, also known as the Clebsch-Mankel-Klitzing matrix, is a mathematical tool used in quantum mechanics to describe the energy levels of a system in terms of its quantum numbers. It is a square matrix with elements that represent the probability of a particle transitioning between different energy states.

2. Is the CMK matrix always constant?

No, the CMK matrix is not always constant. It depends on the experimental energy levels being studied. In some cases, the matrix may change as a result of external factors such as temperature or pressure. However, in certain systems, the matrix may remain constant regardless of the experimental energy levels.

3. How is the CMK matrix calculated?

The CMK matrix is calculated using the Clebsch-Gordan coefficients, which are derived from the angular momentum of the system. These coefficients are then used to construct the matrix, which can be solved using mathematical methods such as diagonalization.

4. Can the CMK matrix be used for all types of particles?

Yes, the CMK matrix can be used for all types of particles, including atoms, molecules, and subatomic particles. It is a universal tool in quantum mechanics that helps to describe the behavior of particles at the atomic scale.

5. How does the CMK matrix relate to the Schrödinger equation?

The CMK matrix is closely related to the Schrödinger equation, which is a fundamental equation in quantum mechanics that describes the time evolution of a quantum system. The matrix is used to represent the energy levels of the system, which are then used to solve the Schrödinger equation and determine the state of the system at a given time.

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