The formula to calculate the Coupling Constant is:
\[ g = E \cdot h \]
Where:
The coupling constant is a parameter that quantifies the strength of the interaction between particles in quantum field theory. It is a fundamental constant in the equations that describe the forces between particles, such as the electromagnetic force, the strong nuclear force, and the weak nuclear force. The value of the coupling constant determines how likely particles are to interact with each other and can vary depending on the energy scale of the interaction.
Let's say the energy (E) is 10 eV and the reduced Planck constant (h) is 4.135667696 × 10-15 eV·s. Using the formula:
\[ g = 10 \cdot 4.135667696 \times 10^{-15} \approx 4.14 \times 10^{-14} \, \text{eV} \]
So, the coupling constant (g) would be approximately 4.14 × 10-14 eV.
Formula: \( J = \frac{\Delta \nu}{\Delta \delta} \)
Example: \( J = \frac{10}{0.5} \)
Formula: \( J = \frac{\Delta \nu}{\Delta \delta} \)
Example: \( J = \frac{15}{0.75} \)
Formula: \( J = \frac{\Delta \nu}{\Delta \delta} \)
Example: \( J = \frac{20}{1} \)
Formula: \( k = \frac{M}{\sqrt{L_1 L_2}} \)
Example: \( k = \frac{0.5}{\sqrt{2 \times 3}} \)