| Name: Gargi Manna |
| Affiliation: Jadavpur University |
| Conference ID: ASI2026_130 |
| Title: Non-Hermitian Physics : An alternate to Tradition Quantum Physics |
| Abstract Type: Poster |
| Abstract Category: High Energy Phenomena, Fundamental Physics and Astronomy |
| Author(s) and Co-Author(s) with Affiliation: Gargi Manna(Jadavpur University,Kolkata-700032,India), Avijit Mukherjee(Jadavpur University,Kolkata-700032,India) |
| Abstract: The Hamiltonian H specifies the energy level and time evolution of a quantum system. Standard formulation of Quantum Mechanics requires H to be Hermitian because Hermicity ensure that the energy spectrum is real- and the-time evolution is unitary ensuring probability conservation. PT symmetric quantum mechanics suggests an alternative to this Hermicity condition. The requirement of Hermicity is replaced by a condition of space-time reflection (PT) symmetry. When H has an unbroken PT symmetry , it is found that the spectrum of H is real. In the unbroken PT-symmetric phase, the eigenstates are the simultaneous eigenstates of the PT operator, leading to real eigenvalues and unitary time evolution under a 'suitably' defined inner product. As the system's parameters/couplings are varied, PT symmetry may spontaneously break at exceptional points, where eigenvalues coalesce and become complex, signalling a qualitative change in the system’s dynamics. This work introduces the fundamental principles of PT-symmetric quantum mechanics, highlighting the role of non-Hermitian Hamiltonians and related novel developments using an explicit model . |
