Professor Eric Collection

Molecular orbitals. Computer model of a mixture of molecular orbitals. The electrons in molecules can be arranged in different patterns, giving rise to different energies

Mathematical model. Computer model of a repeated mathematical operation (iteration) to generate a random wave. The iteration involved random drawing of sets of parallel lines

Classical chaos

Torus. Computer model of the three-dimensional projection (or shadow) of a 4-dimensional torus, a mathematical shape. The projection is covered in holes to show the looping intersecting structure

Chaos map. Computer model of a " chaotic map". This image was produced by Eric Heller, professor of physics at Harvard University, USA

Classical and quantum chaos. Computer models of two types of chaos. The sphere (upper left) is a random wave, an example of quantum chaos. It is formed by the random addition of quantum waves

Torus. Computer model of a mathematical shape known as a torus. A torus is a four-dimensional object but it is seen here as a three-dimensional object

Chaos map. Computer model of chaos produced by a repeated mathematical operation (iteration) called mapping. Mathematical mapping involves repeating rules that tell you how to change the original

Three types of chaos

Electron flow. Computer model representing the flow of electrons through a two-dimensional electron gas (2DEG). The " gas" is composed of many free electrons

Optical pattern. Computer model of patterns formed by bending a coloured transparent sheet. The flat structure is distorted, as seen by the distortion of the gridlines

Quantum tunneling. Computer model of a quantum wavefunction trapped in a deep well (centre). In classical physics, the particle described by this wavefunction doesn t have enough energy to emerge

Quantum resonance. Computer model showing quantum resonance. A quantum wavefunction is seen as the parallel waves moving up from bottom. They hit a barrier (black, lower centre)

Molecular collisions. Computer model of molecules colliding in a 2-dimensional area. The coloured tracks show the successive positions of the atoms in each molecule

Scarred quantum wave. Computer model showing the paths taken by a wave trapped inside a stadium- shaped cavity. The paths show the movement of a particle which is behaving like a wave

Classical and quantum physics
Classical to quantum physics. Sequence of computer models showing the progression from classical to quantum physics. At top left, the movement of a classical particle, such as an electron, is shown

Quantum waves. Computer model showing a quantum wavefunction bouncing from a rough surface. The wavefunction was dropped from top

Electron flow. Computer model of electron flow in a 2-dimensional electrical landscape. The pattern observed depends upon both the initial conditions and the electric potential

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Meet Professor Eric, a brilliant mind at the forefront of scientific research. With his expertise in molecular orbitals and mathematical models, he unravels the mysteries of nanowires and their behavior. Through intricate molecular models, he deciphers complex patterns and phenomena that were once hidden from our understanding. But it doesn't stop there for Professor Eric; he delves into the realm of classical chaos with his groundbreaking mathematical model. Exploring chaotic systems like never before, he uncovers hidden order within apparent randomness. His work on torus and chaos maps has revolutionized our perception of these intricate structures. With each new mathematical model developed by Professor Eric, we gain deeper insights into the fundamental workings of nature. From molecular orbitals to nanowires to classical chaos, his contributions have paved the way for advancements in various fields. In classrooms around the world, students eagerly await Professor Eric's lectures as they know they are about to embark on an intellectual journey like no other. His ability to simplify complex concepts while maintaining their essence is truly remarkable. Professor Eric's passion for knowledge is contagious; it ignites curiosity among both young minds and seasoned researchers alike. He inspires others to question established theories and explore uncharted territories through rigorous experimentation guided by mathematics. As we continue to unravel the intricacies of our universe, one thing remains certain: Professor Eric will be at its forefront, pushing boundaries with every new mathematical model created. His dedication to advancing scientific understanding knows no bounds – a true visionary shaping tomorrow's discoveries today.