2010/08/17 by Piotr Korcyl · 4 citations
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Eigenvalues and eigenvectors #Fock space #Gauge theory #Invariant (physics) #Quantization (signal processing) #Quantum Mechanics and Non-Hermitian Physics #Quantum statistical mechanics #Spectral Theory in Mathematical Physics #Supersymmetric quantum mechanics #Supersymmetry #math-ph #math.MP
paper · pdf · doi:10.1063/1.3566359
published in Journal of Mathematical Physics 52(4) (American Institute of Physics) · 38 pages, 1 figure
arxiv created 2010/08/17 · openalex publication_date 2011/04/01 · arxiv updated 2011/04/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We derive the spectra of D = 2, SU(3) supersymmetric Yang–Mills quantum mechanics in all fermionic sectors. Moreover, we provide exact expressions for the corresponding eigenvectors in the sectors with none and one fermionic quantum. We also generalize our results obtained in a cut Fock space to the infinite cut-off limit.