Skip to search formSkip to main contentSkip to account menuSemantic Scholar Semantic Scholar's Logo Search 206,445,102 papers from all fields of science

Search

Semantic Scholar uses AI to extract papers important to this topic.

Highly Cited

2007

Highly Cited

2007

The Hamiltonian H specifies the energy levels and time evolution of a quantum theory. A standard axiom of quantum mechanics…

Highly Cited

2004

Highly Cited

2002

Highly Cited

2002

A Hamiltonian electrostatic coupling scheme for hybrid Car-Parrinello molecular dynamics simulations

We present a fully Hamiltonian and computationally efficient scheme to include the electrostatic effects due to the classical…

Highly Cited

1999

Highly Cited

1999

This paper proposes to broaden the canonical formulation of quantum mechanics. Ordinarily, one imposes the condition H†=H on the…

Highly Cited

1998

Highly Cited

1998

We prove the adiabatic theorem for quantum evolution without the traditional gap condition. We show that the theorem holds…

Highly Cited

1993

Highly Cited

1993

We consider the Hamiltonian and Lagrangian formalism describing free κ-relativistic particles with their four-momenta constrained…

Highly Cited

1985

Highly Cited

1982

Highly Cited

1968

Highly Cited

1968

In Section 1 we present a general principle for associating nonlinear equations evolutions with linear operators so that the…

Highly Cited

1950

Highly Cited

1950

By a canonical transformation on the Dirac Hamiltonian for a free particle, a representation of the Dirac theory is obtained in…