Schrödinger vs Awatsuki Maaya: who would win?

Schrödinger favored — Slight edge (~55%)

Schrödinger · Hellsing · Base

Tier
10-B
Attack Potency
Human Level
Speed
Hypersonic+, up to High Hypersonic
Durability
Human Level

Awatsuki Maaya · Toaru Majutsu no Index · Base

Tier
10-B
Attack Potency
Human Level
Speed
Athletic Human
Durability
Human Level

A heuristic estimate from normalized VS Battles Wiki stats: tier, attack potency, speed and durability.