• Publications
  • Influence
Advanced Mathematical Methods For Scientists And Engineers
This book gives a self-contained presentation of the methods of asymptotics and perturbation theory, methods useful for obtaining approximate analytical solutions to differential and differenceExpand
  • 3,285
  • 153
Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
The condition of self-adjointness ensures that the eigenvalues of a Hamiltonian are real and bounded below. Replacing this condition by the weaker condition of $\mathrm{PT}$ symmetry, one obtains newExpand
  • 3,287
  • 126
  • PDF
Making sense of non-Hermitian Hamiltonians
The Hamiltonian H specifies the energy levels and time evolution of a quantum theory. A standard axiom of quantum mechanics requires that H be Hermitian because Hermiticity guarantees that the energyExpand
  • 1,647
  • 69
  • PDF
Complex extension of quantum mechanics.
Requiring that a Hamiltonian be Hermitian is overly restrictive. A consistent physical theory of quantum mechanics can be built on a complex Hamiltonian that is not Hermitian but satisfies the lessExpand
  • 1,034
  • 20
  • PDF
Introduction to 𝒫𝒯-symmetric quantum theory
In most introductory courses on quantum mechanics one is taught that the Hamiltonian operator must be Hermitian in order that the energy levels be real and that the theory be unitary (probabilityExpand
  • 301
  • 14
  • PDF
Quantum mechanical Carnot engine
A cyclic thermodynamic heat engine runs most efficiently if it is reversible. Carnot constructed such a reversible heat engine by combining adiabatic and isothermal processes for a system containingExpand
  • 155
  • 13
  • PDF
The Anharmonic Oscillator.
  • 177
  • 12
  • PDF
A new perturbative approach to nonlinear problems
A recently proposed perturbative technique for quantum field theory consists of replacing nonlinear terms in the Lagrangian such as φ4 by (φ2)1+δ and then treating δ as a small parameter. It is shownExpand
  • 268
  • 10
Parity–time-symmetric whispering-gallery microcavities
It is now shown that coupled optical microcavities bear all the hallmarks of parity–time symmetry; that is, the system’s dynamics are unchanged by both time-reversal and mirror transformations. TheExpand
  • 1,129
  • 9
  • PDF