The interplay of supersymmetry and PT symmetry in quantum mechanics: a case study for the Scarf II potential [PDF]
, 2002 Motivated by the duality of normalizable states and the presence of the quasi-parity quantum number q = ? 1 in symmetric (non-Hermitian) quantum mechanical potential models, the relation of symmetry and supersymmetry (SUSY) is studied. As an illustrative
G. Lévai, Miloslav Znojil
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Leibniz rule and exact supersymmetry on lattice: a case of supersymmetrical quantum mechanics [PDF]
, 2005 We propose a new formulation of lattice theory. It is given by a matrix form and suitable for satisfying Leibniz rule on lattice. The theory may be interpreted as a multi-flavor system. By realizing the difference operator as a commutator, we may obtain exact supersymmetric theories on lattice explicitly.
Mitsuhiro Kato +2 more
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Relationship Between Supersymmetry and the Inverse Method in Quantum Mechanics
Physics Letters B, 1984 Abstract In supersymmetric QM the bosonic hamiltonian H + = A † A yields the fermionic hamiltonian H_ = AA † . However, the most general Bλ that satisfies B λ B † λ =H_ yields an H B + (λ) = B † λ B λ which in general is not H+.
M. Nieto
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Orbital frontiers: harnessing higher modes in photonic simulators. [PDF]
NanophotonicsAbstract Photonic platforms have emerged as versatile and powerful classical simulators of quantum dynamics, providing clean, controllable optical analogs of extended structured (i.e., crystalline) electronic systems. While most realizations to date have used only the fundamental mode at each site, recent advances in structured light – particularly the
Noh J, Schulz J, Benalcazar W, Jörg C.
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ModMax oscillators and root-
Physical Review D, 2023 We construct a deformation of any $(0+1)$-dimensional theory of $N$ bosons with $SO(N)$ symmetry which is driven by a function of conserved quantities that resembles the root-$T \overline{T}$ operator of $2d$ quantum field theories.
Christian Ferko, Alisha Gupta
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Leibniz rule and exact supersymmetry on the lattice: the case of supersymmetric quantum mechanics [PDF]
Proceedings of XXIIIrd International Symposium on Lattice Field Theory — PoS(LAT2005), 2005 Hiroto So +2 more
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Complex Langevin dynamics and supersymmetric quantum mechanics
Journal of High Energy Physics, 2021 Using complex Langevin method we probe the possibility of dynamical supersymmetry breaking in supersymmetric quantum mechanics models with complex actions.
Anosh Joseph, Arpith Kumar
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Numerical bootstrap in quantum mechanics
Physics Letters B, 2021 We study the effectiveness of the numerical bootstrap techniques recently developed in [1] for quantum mechanical systems. We find that for a double well potential the bootstrap method correctly captures non-perturbative aspects.
Jyotirmoy Bhattacharya +4 more
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Supersymmetric quantum mechanics and the Riemann hypothesis [PDF]
International Journal of Modern Physics A, 2022 We construct a supersymmetric quantum mechanical model in which the energy eigenvalues of the Hamiltonians are the products of Riemann zeta functions. We show that the trivial and nontrivial zeros of the Riemann zeta function naturally correspond to the ...
Pushpa Kalauni, K. Milton
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Super algebra and Harmonic Oscillator in Anti de Sitter space [PDF]
Iranian Journal of Astronomy and Astrophysics, 2019 The harmonic oscillator in anti de Sitter space(AdS) is discussed. We consider the harmonic oscillator potential and then time independent Schrodinger equation in AdS space.
Omid Jalili, Shahin Toni
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