Results 61 to 70 of about 23,157 (251)
Second-order Supersymmetric Operators and Excited States
Factorization of quantum mechanical Hamiltonians has been a useful technique for some time. This procedure has been given an elegant description by supersymmetric quantum mechanics, and the subject has become well-developed.
Berger, Micheal S., Ussembayev, Nail S.
core +1 more source
Shape Invariance and Its Connection to Potential Algebra [PDF]
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
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Counting trees in supersymmetric quantum mechanics [PDF]
We study the supersymmetric ground states of the Kronecker model of quiver quantum mechanics. This is the simplest quiver with two gauge groups and bifundamental matter fields, and appears universally in four-dimensional \mathcal N = 2 systems. The ground state degeneracy may be written
Cordova, Clay, Shao, Shu-Heng
openaire +2 more sources
Modeling General Asymptotic Calabi–Yau Periods
Abstract In the quest to uncovering the fundamental structures that underlie some of the asymptotic Swampland conjectures the authors initiate the general study of asymptotic period vectors of Calabi–Yau manifolds. The strategy is to exploit the constraints imposed by completeness, symmetry, and positivity, which are formalized in asymptotic Hodge ...
Brice Bastian +2 more
wiley +1 more source
The relativistic wave equations determine the dynamics of quantum fields in the context of quantum field theory. One of the conventional tools for dealing with the relativistic bound state problem is the Klein-Fock-Gordon equation.
A. I. Ahmadov +3 more
doaj +1 more source
Hyperconfluent third-order supersymmetric quantum mechanics
The hyperconfluent third-order supersymmetric quantum mechanics, in which all the factorization energies tend to a common value, is analyzed. It will be shown that the final potential as well can be achieved by applying consecutively a confluent second ...
C, David J Fernandez +1 more
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Foundations of Ghost Stability
Abstract The authors present a new method to analytically prove global stability in ghost‐ridden dynamical systems. The proposal encompasses all prior results and consequentially extends them. In particular, it is shown that stability can follow from a conserved quantity that is unbounded from below, contrary to expectation.
Verónica Errasti Díez +2 more
wiley +1 more source
Supersymmetric Quantum Mechanics and Painlevé IV Equation
As it has been proven, the determination of general one-dimensional Schrödinger Hamiltonians having third-order differential ladder operators requires to solve the Painlevé IV equation.
David Bermúdez, David J. Fernández C.
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Twisted Hilbert spaces of 3d supersymmetric gauge theories
We study aspects of 3d N=2 $$ \mathcal{N}=2 $$ supersymmetric gauge theories on the product of a line and a Riemann surface. Performing a topological twist along the Riemann surface leads to an effective supersymmetric quantum mechanics on the line.
Mathew Bullimore, Andrea Ferrari
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Time Dependent Supersymmetry in Quantum Mechanics [PDF]
The well-known supersymmetric constructions such as Witten's supersymmetric quantum mechanics, Spiridonov-Rubakov parasupersymmetric quantum mechanics, and higher-derivative SUSY of Andrianov et al.
Bagrov, Vladislav G., Samsonov, Boris F.
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