Physics
Open problems, research attempts and community review.
The Top Open Problems editorial order restricted to Physics, with ranks numbered within this field. Unassessed entries retain their previous relative order. About rankings
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- Phys-101 Quantum Diffusion in the Anderson Model
- Phys-102 Absolutely Continuous Spectrum Under a Weighted L2 Condition
- Phys-103 Mathematical Nuclear Shell Model
- Phys-104 First-Principles Molecular Configurations
- Phys-105 Existence of Quantum Crystals
- Phys-106 Continuity of the Integrated Density of States
- Phys-107 Riemann-Hilbert Problem with non-analytic data
- Phys-108 Painlev\'e equations
- Phys-109 Non-self adjoint spectral problems
- Phys-110 Long-time behavior with non-generic initial data
- Phys-111 The parking problem
- Phys-112 A Tracy-Widom Central Limit Theorem
- Phys-113 Perturbation theory for infinite dimensional integrable systems
- Phys-114 Perturbation theory for exactly solvable combinatorial problems
- Phys-115 Initial/boundary value problems for integrable systems
- Phys-116 Multi-matrix models and models with an external field
- Phys-117 KdV with almost periodic initial data
- Phys-118 interacting particle systems and KPZ
- Phys-119 numerical computation with random data
- Phys-120 initial boundary value problems for integrable systems (IBVP)
- Phys-121 numerical solution of integrable systems
- Phys-122 additional problems for integrable systems
- Phys-123 Rigorous Diffraction from Two Slits
- Phys-124 When semiclassical spectra follow curves—and when they fill area
- Phys-125 Complex Bohr-Sommerfeld action and a stability obstruction
- Phys-126 Exact zero-Kerr spectrum and high-energy Kerr localization
- Phys-127 Canonical versus abstract hyper-Kähler structures on cotangent bundles
- Phys-128 Exact complex-linear spin propagation and a nonlinear coherence-loss benchmark
- Phys-129 The sharp Laptev-Safronov threshold and a Lorentz-stable tube obstruction
- Phys-130 Axis and low-dimensional cases of Levitin's disk-intersection conjecture
- Phys-131 A non-polynomial complex potential with entirely real spectrum
- Phys-132 A one-coupling J-Schur certificate for projected spectral enclosures
- Phys-133 When holomorphic anomaly equations survive fiber integration
- Phys-134 Differential fingerprints of eta-products
- Phys-135 Holomorphic anomaly, fibrations, and the BPS multiple-cover transform
- Phys-136 Compact-fixed-locus definitions and pole obstructions for noncompact elliptic genera
- Phys-137 A normal-symbol criterion for lower-dimensional modular reduction
- Phys-138 Coefficientwise indices and a level-two Calabi--Yau/CFT test
- Phys-139 Paramodular consistency tests for Calabi-Yau counting series
- Phys-140 Normalization-aware leading quintic amplitudes at the Gepner point
- Phys-141 Hurwitz class numbers, CM enumeration, and local conductor layers
- Phys-142 Formal, Jacobi, and wave-function transformations of the string coupling
- Phys-143 Mirror-quintic periods, modular-type structures, and a conifold obstruction
- Phys-144 Functional equations and an Euler-product obstruction for mixed mock L-series
- Phys-145 Hauptmodul differential equations for an even-weight mixed-mock class
- Phys-146 Mock modularity, geometric invariants, and finite pole tomography
- Phys-147 A two-vertex counterexample to color-number monotonicity
- Phys-148 Equatorial symmetry and a Jacobian-jet test for local Kerr caustic cusps
- Phys-149 An invariant certificate for caustic-forming Kerr rays
- Phys-150 Melrose's answer, compact Sobolev embedding, and escape of mass