Energy associated with entangled particles

[MCB]

Assuming two particles are entangled, is there a quantifiable energy associated with separation distance?

Rephrasing the question:
If two entangled particles are distance x₁ apart and another pair of identical entangled particles are distance x₂ apart, is there a difference in the energy associated with the pairs if distance x₁ does not equal distance x₂?

x₁ ≠ x₂ ⇒ Δx​

Another rephrase:
If two entangled particles move away from one another for time t₁ and another pair move apart for time t₂ and t₁ is not the same as t₂, what is the difference in energy?

t₁ ≠ t₂ ⇒ Δt​

Rephrase again:
Is there a measure of energy associated with how long entangled particles have indefinite energy states?

Rephrase:
Valid?

ΔE_sep ≠ 0

if cases A or B true:

A: ΔE ∝ Δx
B: ΔE ∝ Δt​

These are all probably distinct but there seems to be a deep question here that I'm having difficulty framing. Any thoughts or discussion on the matter would be greatly appreciated.
-MCB

 

[ShayanJ]

When it comes to energy, entangled states are not different from non-entangled states. If they are eigenstates of a Hamiltonian, then they have a definite energy. Otherwise they're some superposition of energy eigenstates and you can only calculate an expectation value for the energy.

 

[DrChinese]

There is no dependency on distance (between components) for the energy of an entangled system. Spatial extent is not a factor.