Calculate the Clebsch-Gordon coefficient for the SP(3,R) by SU(3)

  • Thread starter Thread starter dongsh2
  • Start date Start date
  • Tags Tags
    Coefficient Su(3)
dongsh2
Messages
28
Reaction score
0
Dear Everyone,

I have a problem to be solved now. how to calculate the symplectic group SP(3,R) non-compact induced by the SU(3) group? Any reference provided will be appreciated.
 
Last edited by a moderator:
Physics news on Phys.org
It's unclear to me what you mean by SP(3, R), since the symplectic group exists only in an even number of dimensions.
 
According to my experience, I know it exists only in an even number of dimensions. But indeed some people published some works in SP(3,R) group in nuclear physics. I am so confused. e.g.

Noncompact Lie Groups and Some of Their Applications
NATO ASI Series Volume 429, 1994, pp 285-300
Applications of Sp(3,R) in Nuclear Physics
 
Ok, I see. this reference by Bohm, Ne'eman and Barut talks a bit about the use of SP(3, R) in nuclear physics. And this reference starting on p.28 further describes the group itself.
 
Last edited:
If possible I might discuss sth with you deeply about this problem. This year is my sabbatical year so I want to solve this problem.
 

Thread 'Quantum Entanglement is a Kinematic Fact, not a Dynamical Effect'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
View full post »

Thread 'Quantum behaviour of an electron around a positively charged sphere'

If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
View full post »

Thread 'Does a qubit break interference in the double slit experiment?'

According to recent podcast between Jacob Barandes and Sean Carroll, Barandes claims that putting a sensitive qubit near one of the slits of a double slit interference experiment is sufficient to break the interference pattern. Here are his words from the official transcript: Is that true? Caveats I see: The qubit is a quantum object, so if the particle was in a superposition of up and down, the qubit can be in a superposition too. Measuring the qubit in an orthogonal direction might...
View full post »

Similar threads

I Understanding the Parity Operator in Dirac Field Theory
Replies
1
Views
2K
SU(2)L, SU(2)R, other symmetric groups and SSB
Replies
2
Views
2K
A Decomposing SU(4) into SU(3) x U(1)
Replies
1
Views
2K
How to calculate Clebsch-Gordon coefficients
Replies
1
Views
6K
I Group Theory Appearing in Griffith's Elementary Particles (2nd Ed.)
Replies
20
Views
2K
I I want to understand how the transmission coefficient is obtained
Replies
3
Views
728
SU(3)-invariant Heisenberg XXX chain
Replies
1
Views
967
I Solving 1D Scattering Problem: Reflection & Transmission Coefficients
Replies
8
Views
3K
I Classical Field Theory - Something isn't clicking
Replies
12
Views
1K
I Explicit non-local form for the vector potential?
Replies
4
Views
1K

Hot Threads

Recent Insights

Back
Top