feat(PhyslibAlpha): Mandelstam–Tamm and Cramér–Rao in the open tight binding chain

[naype888-cloud]

hy joseph, hy time root, i am updating this new PR i keep it short an clear for the revierw, here is the first one bridges i promisse to you, justo look, "TightBindingChain/MandelstamTamm.lean" 139 lines, make the conection with another PR all ready merged: current ( J #1696 ) and the uncertanty energy-position ( #1690 and #1709 ) "Note: PR #1709 isn't really merged jet, so this PR depend on it"
here 6 points, more concrete inside lib:
1.-"currentObservable": current "J" = i ( HX - XH ) as an observable, by Heisemberg's ecuattion it's velocity d ( X ) / dt
2.-"coe_bracket_openHamiltonian_position": The uncertainty bracket is exactly minus half the current, ⁅H, X⁆ = −J/2. It's the key piece becouse connects the Robertson–Schrödinger relation with velocity.
3.-"sq_expectation_current_le": on all state ( J )² ≤ 4·Var H·Var X, comes exactly from robertson-Schrodinguer(#1690)
4.-"MAndelstamm-Tamm" the positión can't moove faster than the dispersion energy allow's |( J )| ≤ 2·ΔH·ΔX
5.- "cramer_rao": ( J )²/Var X ≤ 4·Var H. the fisher information on position, this H provide us the moovement, and never goes over the Fisher quantum informatio under a pure state.
6. "mandelstamTammRatio y mandelstamTammRatio_le_one": el cociente ( J )²/(4·Var H·Var X) never goe's far than the unit, 1. It's the same inequality both directions reeading cicle, as a speed limit (Mandelstam–Tamm) y and also as an estimation variance (Cramér–Rao).
im here, as you know ready to make any changues, or discussion on zulip chat¡

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[naype888-cloud]

hi guys, this one it's ready now #1709 is merged and this PR is rebased on master: one commit, no open dependencies. It should no longer be blocked.

[naype888-cloud]

-blocked-by-PR