Publications Influence

Share This Author

## 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 difference… Expand

## Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry

- C. Bender, S. Boettcher
- Mathematics
- 29 November 1997

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 new… Expand

## Making sense of non-Hermitian Hamiltonians

- C. Bender
- Physics
- 9 March 2007

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 energy… Expand

## Advanced mathematical methods for scientists and engineers I: asymptotic methods and perturbation theory.

TLDR

## Complex extension of quantum mechanics.

TLDR

## PT-symmetric quantum mechanics

- C. Bender, S. Boettcher, Peter N. Meisinger
- Physics
- 24 September 1998

This paper proposes to broaden the canonical formulation of quantum mechanics. Ordinarily, one imposes the condition H†=H on the Hamiltonian, where † represents the mathematical operation of complex… Expand

## Introduction to 𝒫𝒯-symmetric quantum theory

- C. Bender
- Physics
- 11 January 2005

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 (probability… Expand

## A new perturbative approach to nonlinear problems

- C. Bender, K. Milton, S. Pinsky, L. Simmons
- Physics
- 1 July 1989

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 shown… Expand

## Quantum mechanical Carnot engine

- C. Bender, D. Brody, B. Meister
- Physics
- 23 June 2000

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 containing… Expand

## No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model.

- C. Bender, P. Mannheim
- PhysicsPhysical review letters
- 1 June 2007

A new realization of the fourth-order derivative Pais-Uhlenbeck oscillator is constructed. This realization possesses no states of negative norm and has a real energy spectrum that is bounded below.… Expand

...

1

2

3

4

5

...