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Impossibility of supersymmetry restoration in quantum-mechanical systems
Physical Review D, 1985We show that supersymmetry restoration is not possible for a large class of O'Raifeartaigh-type quantum-mechanical models. The vacuum energy is bound from below by its classical value. An exception is discussed.
, Forge, , Rabinovici
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Supersymmetry and Supersymmetric Quantum Mechanics
2007In this chapter we describe briefly, for the sake of completeness, some of the ideas and applications of supersymmetry, as defined and understood in other fields of physics. Supersymmetry was originally introduced in particle physics, more accurately, in relativistic quantum field theory where it was introduced in an attempt to obtain a unified ...
Frank, A., van Isacker, P., Jolie, J.
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QUANTUM SUPERSPACE, q-EXTENDED SUPERSYMMETRY AND PARASUPERSYMMETRIC QUANTUM MECHANICS
Modern Physics Letters A, 1993We describe q-deformation of the extended supersymmetry and construct q-extended supersymmetric Hamiltonian. For this purpose we formulate q-superspace formalism and construct q-supertransformation group. On this basis q-extended supersymmetric Lagrangian is built. The canonical quantization of this system is considered.
Ilinski, K. N., Uzdin, V. M.
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Quantum Hamilton–Jacobi Analysis of Phases of Supersymmetry in Quantum Mechanics
International Journal of Modern Physics A, 1997In the framework of the quantum Hamilton–Jacobi (QHJ) formalism, we show how both the unbroken and the spontaneously broken phase of supersymmetry in quantum mechanics can arise in a natural manner, for appropriate ranges of the parameters appearing in the potential. The Gozzi index, which is related to the quantum action variable in the QHJ formalism,
Bhalla, R. S. +2 more
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Supersymmetry breakdown in supersymmetric quantum mechanics
Il Nuovo Cimento A, 1984We give a pedagogical introduction to supersymmetric quantum mechanics with emphasis on the question of spontaneous supersymmetry breaking. Various models both withN=1 andN=2 supersymmetry are then presented and analysed.
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Supersymmetry and Ghosts in Quantum Mechanics
2016A standard supersymmetric quantum system is defined by a Hamiltonian [^H] = ½([^Q]*[^Q] +[^Q][^Q]*), where the super-charge [^Q] satisfies [^Q]2 = 0, [^Q] commutes with [^H]. So we have [^H] ≥ 0 and the quantum spectrum of [^H] is non negative. On the other hand Pais-Ulhenbeck proposed in 1950 a model in quantum-field theory where the d'Alembert ...
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Supersymmetry in Quantum Mechanics and Particle Physics
2023Masud Chaichian, Rolf Hagedorn
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