Sentences with phrase «quantum mechanical systems»

The hydrogen atom is actually one of the rare quantum mechanical systems whose energy levels can be solved exactly, but by applying the variational approach and then comparing the result to the exact solution, students could calculate the error in the approximation.

Even high school students, he says, could grasp — and be excited by — the fundamentals of simple quantum mechanical systems such as qubits, the two - state units of quantum information that scientists hope will someday be manipulated by quantum computers.

In particular, he is interested in studying complex systems arising from emerging applications, such as brain networks, social behaviors, health and quantum mechanical systems.

Not exact matches

(Of course, this activity is entirely subject to the constraints imposed by the quantum mechanical laws governing the physical workings of those material systems.)

However, the introduction of quantum mechanical principles in the early part of this century brought about a dramatic change In our notions of causality, by allowing the concept of non-deterministic evolution of dynamical systems to gain ground in the natural sciences.

Then, by controlling the qubit with an external magnetic flux, they were able to inject individual mechanical quanta into the resonator, the first step toward the quantum control of a mechanical system.

Researchers at the San Diego Supercomputer Center at the University of California, San Diego, have developed software that greatly expands the types of multi-scale QM / MM (mixed quantum and molecular mechanical) simulations of complex chemical systems that scientists can use to design new drugs, better chemicals, or improved enzymes for biofuels production.

This condensate is an extreme aggregate state of a system of indistinguishable particles, most of which are in the same quantum mechanical state.

To be able to experimentally verify this «and» state and its unique quantum mechanical properties, the team had to create a large number of these atomic systems under the same conditions and with different settings of the lab setup.

Moreover, the model can be generalized to add another path toward the solution of complex classical computational problems by taking advantage of quantum mechanical parallelism — the fact that, according to quantum mechanics, a system can be in many classical states at the same time.

If the quality factor of the resonator is high, the mechanical energy will dissipate at a very low rate, and therefore the resonator will be extremely accurate at measuring or sensing objects thus enabling these systems to become very sensitive mass and force sensors, as well as exciting quantum systems.

Einstein held that quantum - mechanical descriptions of physical systems are incomplete.

For these states, called cluster states of entangled photons, the quantum mechanical properties are preserved even if parts of the state are destroyed — needed for error - resistant quantum information systems.

In the past few years, physicists have investigated ways to produce energy from qubits, or quantum - mechanical systems like subatomic particles.

Each section of the constantly shifting system has an impact on other sections, potentially via quantum entanglement, leading to a dynamic quantum - mechanical dance.

While quantum mechanics primarily applies to the smaller atomic regimes of matter and energy, some systems exhibit quantum mechanical effects on a large scale.

An accurate computational description of electronic excitations and charge - transfer processes that underlie e.g. next - generation energy - conversion, energy - storage, and catalytic systems through time - dependent quantum - mechanical theory is one of the most desirable goals of computational science today!

QMC is a powerful stochastic quantum - mechanical technique for determining electronic ground - state energies, and is currently the most accurate atomistic simulation method that can be applied to extended systems such as solids and liquids.

This behaviour is dictated by quantum mechanical phenomena unfolding at the nanoscale and depends strongly on the atomic - scale morphology of these systems.