#MathematicalPhysics
Establishes domain relationships for GKLS generators of quantum Markov semigroups in bosonic Fock spaces, proving dissipation and Hamiltonian domains coincide for quadratic operators—foundational for rigorous open quantum system theory.

#QuantumTheory #MathematicalPhysics #Research
Operator Domain Relations in Quantum Markov Semigroup Generators
arxiv.org
November 13, 2026 at 5:56 AM
November 7, 2026 at 3:18 AM
Novel study reveals how Dunkl deformation modifies quantum optical nonlinear dynamics, generating asymmetric multicomponent wave packets with parity-dependent phase synchronization in Kerr media.

#QuantumOptics #MathematicalPhysics #Research
Phase-Space Dynamics of Dunkl-Deformed Anharmonic Oscillators with Asymmetric Wave Packets
iq.fp2.dev
November 3, 2026 at 3:33 AM
Demonstrates that particles and antiparticles are fundamentally distinguished by quantum charges derived from Weyl-Heisenberg group representations, not relativistic equations—resolving the Klein paradox at the foundation of quantum mechanics.

#QuantumTheory #MathematicalPhysics #Research
Quantum Charge as a Particle/Antiparticle Label
iq.fp2.dev
November 1, 2026 at 1:35 PM
Proves relative entropy between squeezed fermions and Minkowski vacuum is finite. Extends prior scalar field results to fermionic systems using modular operator theory in quantum field theory analysis.

#QuantumFieldTheory #MathematicalPhysics #RelativeEntropy
Relative Entropy Between Squeezed Fermionic States and Minkowski Vacuum
iq.fp2.dev
October 31, 2026 at 6:41 AM
Proves relative entropy between squeezed fermions and Minkowski vacuum is finite. Extends prior scalar field results to fermionic systems using modular operator theory in quantum field theory analysis.

#QuantumFieldTheory #MathematicalPhysics #RelativeEntropy
Relative Entropy Between Squeezed Fermionic States and Minkowski Vacuum
iq.fp2.dev
October 31, 2026 at 6:41 AM
Reveals how boundary leakage mechanisms generate the strong Szegő formula for determinant asymptotics, with direct applications to quantum entanglement calculations and free-fermion systems through path-counting arguments.

#MathematicalPhysics #QuantumInformation #Research
Elementary Approach to Szegő Theorems for Toeplitz Determinants
iq.fp2.dev
October 30, 2026 at 9:13 PM
Reveals how boundary leakage mechanisms generate the strong Szegő formula for determinant asymptotics, with direct applications to quantum entanglement calculations and free-fermion systems through path-counting arguments.

#MathematicalPhysics #QuantumInformation #Research
Elementary Approach to Szegő Theorems for Toeplitz Determinants
iq.fp2.dev
October 30, 2026 at 9:13 PM
Novel mathematical framework establishes Lieb-Robinson bounds for quantum spin systems with irreversible dynamics. Shows dissipative on-site terms don't affect locality estimates using self-avoiding path expansions.

#QuantumTheory #MathematicalPhysics #Research
Adaptive Dyson Expansion for Lieb-Robinson Bounds in Irreversible Quantum Systems
arxiv.org
October 30, 2026 at 9:10 PM
Novel mathematical framework establishes Lieb-Robinson bounds for quantum spin systems with irreversible dynamics. Shows dissipative on-site terms don't affect locality estimates using self-avoiding path expansions.

#QuantumTheory #MathematicalPhysics #Research
Adaptive Dyson Expansion for Lieb-Robinson Bounds in Irreversible Quantum Systems
arxiv.org
October 30, 2026 at 9:10 PM
New iterative method establishes rigorous lower bounds for atomic/ionic ground-state energies, improving previous constants and providing fully analytical results without numerical computation.

#QuantumChemistry #MathematicalPhysics #Research
Rigorous Lower Bounds for Atomic and Ionic Ground-State Energies
arxiv.org
October 27, 2026 at 9:10 AM
Join the 16th Gauteng Mathematical Physics School: ‘Recent trends in CFT & the gauge/gravity correspondence’.
📅 30 Nov – 4 Dec 2026
📍 Uni. of Pretoria
📩 Mail kzoubos@up.ac.za to apply by 30 Oct.
Limited support for PhD students.
buff.ly/hoNXsMI
#MathematicalPhysics #TheoreticalPhysics #GaugeGravity
October 27, 2026 at 9:01 AM
This month, CTCS (#IITMadras) & @pik-potsdam.bsky.social present a webinar
📢 #DynamicalSystems in arbitrary dimensions: A consistent #generalisation of low-dimensional #models
🎙️Prof. Ram Ramaswamy, IISER Berhampur
📅October 26 | 16:00 CET | 11:00 EDT
🔗 us06web.zoom.us/webinar/regi...

#ComplexSystem
October 26, 2026 at 2:04 PM
This month, CTCS (#IITMadras) & @pik-potsdam.bsky.social present a webinar
📢 #DynamicalSystems in arbitrary dimensions: A consistent #generalisation of low-dimensional #models
🎙️Prof. Ram Ramaswamy, IISER Berhampur
📅October 26 | 16:00 CET | 11:00 EDT
🔗 us06web.zoom.us/webinar/regi...

#ComplexSystem
October 26, 2026 at 11:03 AM
This is a great post about mathematical physicist Professor Roger Penrose (but from the other platform. I don't think Graham has an account here unless I've not checked enough).

#mathematicalphysics
October 16, 2026 at 7:17 PM
Explore the mathematical foundations behind modern physics.

A rigorous and accessible introduction to the concepts that connect quantum field theory, geometry and algebra.

📚Find out more: tinyurl.com/3j5d26s4

#MathematicalPhysics #ASMBooks
October 5, 2026 at 9:01 PM
Paid tutorial: use 2×2 Lax matrices to build conserved quantities in Vasilev's deformed Toda system. Calculate two and three sites, then explore operator ordering. These learning examples do not replace the general proof.
https://note.com/hydezero/n/nd7b45466e162?hl=en
#Toda #MathematicalPhysics
October 6, 2026 at 11:05 AM
In Generative Triangle T, combinatorial mass is defined only after a stable particle-like macroclass exists. It quantifies the multiplicity of stable microhistorical realizations compatible with that same macrostructure, rather than adding mass as an independent input.
#MathematicalPhysics
October 4, 2026 at 9:57 AM
A particle-like object in Generative Triangle T is not a primitive point. It is a macroclass satisfying recursive stability, causal localization, stable internal structure and asymptotic distinguishability. Particle-likeness is derived from those conditions, not postulated.
#MathematicalPhysics
September 30, 2026 at 10:24 AM
Mathematician Nivedita joins Perimeter Institute through a postdoctoral fellowship to apply rigorous mathematical techniques to quantum field theory, bridging abstract mathematics with theoretical physics.

#QuantumFieldTheory #MathematicalPhysics #TheoreticalPhysics
Mathematician Joins Perimeter Institute to Axiomatize Quantum Field Theory
quantumzeitgeist.com
September 30, 2026 at 7:05 AM
Why can N^(3/2) scaling persist while the Airy form changes? Follow affine quiver models into a Fermi gas, separating exact rewrites from semiclassical corrections in the analyzed families.

https://note.com/hydezero/n/nb9fbc20c22ff?hl=en
#MathematicalPhysics #StatisticalPhysics
September 23, 2026 at 11:08 AM
How do local Lax matrices generate conserved quantities? Follow a special deformed Toda system from matrix products to Poisson commutativity, then quantum operator ordering. Independence remains a separate check.

https://note.com/hydezero/n/ndb50a75ad41b?hl=en
#MathematicalPhysics #Integrability
September 22, 2026 at 9:15 AM
Developed effective radial framework for charged particles in electromagnetic fields using tridiagonal representation approach, yielding analytically solvable field-modified potentials with explicit energy spectra in Laguerre and Jacobi bases.

#QuantumPhysics #MathematicalPhysics #Research
Field-Modified Quantum Potentials via Tridiagonal Representations: Analytical and Numerical Solutions
arxiv.org
September 22, 2026 at 2:07 AM
Sir Professor Roger Penrose is my favourite scientist.

This is a link to a post I did, which is a bit about him & part of a thread (of a few threads) I wrote about mathematicalphysics which references his books I have, & his thinking behind his theory making.

He's an expert on #mathematicalphysics
They're both physicists, altho Penrose is more mathematical in his thinking but they have similarities: both think in pictures & diagrams (Feynman diagrams) as does Penrose with his working out & theorising.

I reckon they'd get along as much as Feynman did with Dirac(2nd pic)!
x.com/i/status/200...
September 19, 2026 at 1:33 PM