Results 71 to 80 of about 119,348 (277)
Communications on Pure and Applied Mathematics, Volume 78, Issue 10, Page 2001-2118, October 2025.Abstract We analyse and clarify the finite‐size scaling of the weakly‐coupled hierarchical n$n$‐component |φ|4$|\varphi |^4$ model for all integers n≥1$n \ge 1$ in all dimensions d≥4$d\ge 4$, for both free and periodic boundary conditions. For d>4$d>4$, we prove that for a volume of size Rd$R^{d}$ with periodic boundary conditions the infinite‐volume ...
Emmanuel Michta +2 more
wiley +1 more source
Higher-order supersymmetric quantum mechanics
, 2004 We review the higher-order supersymmetric quantum mechanics (H-SUSY QM), which involves differential intertwining operators of order greater than one. The iterations of first-order SUSY transformations are used to derive in a simple way the higher-order ...
C, David J Fernandez +1 more
core +3 more sources
Shape Invariance and Its Connection to Potential Algebra [PDF]
, 1998 Exactly solvable potentials of nonrelativistic quantum mechanics are known to be shape invariant. For these potentials, eigenvalues and eigenvectors can be derived using well known methods of supersymmetric quantum mechanics.
A.O. Barut +11 more
core +3 more sources
Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac [PDF]
, 2016 Feynman’s time-slicing construction approximates the path integral by a product, determined by a partition of a finite time interval, of approximate propagators.
D. Fine, S. Sawin
semanticscholar +1 more source
Fortschritte der Physik, Volume 73, Issue 9-10, October 2025.Abstract The unification of conformal and fuzzy gravities with internal interactions is based on the facts that i) the tangent group of a curved manifold and the manifold itself do not necessarily have the same dimensions and ii) both gravitational theories considered here have been formulated in a gauge theoretic way.
Gregory Patellis +3 more
wiley +1 more source
Supersymmetric quantum mechanics of hypergeometric-like differential operators
Results in PhysicsSystematic iterative algorithms, that are solely dictated by the principles of supersymmetric quantum mechanics and do not rest on any input from the traditional methods, are developed for constructing the discrete eigen-spectra of a generic principal ...
Tianchun Zhou
doaj +1 more source
Superconformal quantum mechanics on Kähler cones
Journal of High Energy Physics, 2020 We consider supersymmetric quantum mechanics on a Kähler cone, regulated via a suitable resolution of the conical singularity. The unresolved space has a u(1, 1|2) superconformal symmetry and we propose the existence of an associated quantum mechanical ...
Nick Dorey, Daniel Zhang
doaj +1 more source
PT-symmetrized supersymmetric quantum mechanics [PDF]
Czechoslovak Journal of Physics, 2001 14 pages, Latex, DI/CRM Workshop, Prague, June 18, 2000, text of the 30 min.
openaire +2 more sources
Holomorphic field theories and higher algebra
Bulletin of the London Mathematical Society, Volume 57, Issue 10, Page 2903-2974, October 2025.Abstract Aimed at complex geometers and representation theorists, this survey explores higher dimensional analogs of the rich interplay between Riemann surfaces, Virasoro and Kac‐Moody Lie algebras, and conformal blocks. We introduce a panoply of examples from physics — field theories that are holomorphic in nature, such as holomorphic Chern‐Simons ...
Owen Gwilliam, Brian R. Williams
wiley +1 more source
Quaternionic quantum mechanics for N = 1, 2, 4 supersymmetry
Beni-Suef University Journal of Basic and Applied Sciences, 2022 Background Quaternions have emerged as powerful tools in higher-dimensional quantum mechanics as they provide homogeneous four-dimensional structure in quantum field theories, offer compact representations, and incorporate spin naturally.
Seema Rawat, A. S. Rawat
doaj +1 more source