Bootstrapping PT symmetric quantum mechanics
Sakil Khan, Yuv Agarwal, Devjyoti Tripathy, Sachin Jain
Abstract
Bootstrapping in Quantum Mechanics uses positivity condition to derive the eigenspectum. For non-hermitian systems usual positivity condition does not work. In this paper we define positivity condition for special class of non-hermitian Hamiltonian, the PT symmetric Hamiltonian. We illustrate this modified positivity condition with several examples and obtain eigenspectrum.
Topics & Concepts
Bootstrapping (finance)Hermitian matrixPhysicsHamiltonian (control theory)QuantumMathematical physicsQuantum mechanicsTheoretical physicsClassical mechanicsMathematicsEconometricsMathematical optimizationQuantum Mechanics and Non-Hermitian PhysicsQuantum chaos and dynamical systemsNonlinear Photonic Systems