Prompt

"Create an image representing the Hamiltonian, a fundamental mathematical concept in physics, particularly in classical and quantum mechanics. The image should feature a stylized, abstract representation of the Hamiltonian equation, possibly incorporating elements that symbolize kinetic and potential energy, such as gears, waves, or particles in motion. The equation or a stylized version of it, often represented as H = T + V, should be central to the composition. Incorporate subtle nods to William Rowan Hamilton, such as a faint portrait in the background or a symbol associated with him. The style should be a blend of mathematical precision and physical insight, reflecting the Hamiltonian's role in describing the total energy of a system and its use in Schrödinger's equation, canonical equations, and Hamiltonian mechanics. The color scheme should be a mix of blues and whites, evoking a sense of clarity, precision, and depth, with accents of green or gold to symbolize energy and value."

Image by stabilityai/stable-diffusion-3.5-large-turbo