#### Filter Results:

- Full text PDF available (135)

#### Publication Year

1966

2019

- This year (5)
- Last 5 years (54)
- Last 10 years (123)

#### Supplemental Content

#### Publication Type

#### Co-author

#### Journals and Conferences

Learn More

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… (More)

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… (More)

- Carl M. Bender, Dorje C. Brody, Hugh F. Jones
- Physical review letters
- 2002

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 less… (More)

- Carl M. Bender, Dorje C. Brody, Hugh F. Jones, Bernhard K. Meister
- Physical review letters
- 2007

Given an initial quantum state |psi(I)> and a final quantum state |psi(F)>, there exist Hamiltonians H under which |psi(I)> evolves into |psi(F)>. Consider the following quantum brachistochrone… (More)

This paper shows that there is a correspondence between quasi‐exactly solvable models in quantum mechanics and sets of orthogonal polynomials {Pn}. The quantum‐mechanical wave function is the… (More)

- Carl M. Bender
- 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… (More)

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… (More)

- Bo Peng, Sahin Kaya Ozdemir, +7 authors Liming Yang
- 2014

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. The… (More)

A new two-parameter family of quasi-exactly solvable quartic polynomial potentials is introduced. Heretofore, it was believed that the lowest-degree one-dimensional quasi-exactly solvable polynomial… (More)