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The Theoretical Minimum is a book and a Stanford University-based continuing-education lecture series, which became a popular YouTube-featured content. The series commenced with What You Need to Know (above) reissued under the title Classical Mechanics: The Theoretical Minimum.
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Apart from his theoretical accomplishments, Landau was the principal founder of a great tradition of theoretical physics in Kharkiv, Ukraine, sometimes referred to as the "Landau school". In Kharkiv, he and his friend and former student, Evgeny Lifshitz , began writing the Course of Theoretical Physics , ten volumes that together span the whole ...
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Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms. [2]: 1.1 It is the foundation of all quantum physics, which includes quantum chemistry, quantum field theory, quantum technology, and quantum information science. Quantum mechanics can describe many systems that classical physics cannot.
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The path integral formulation is a description in quantum mechanics that generalizes the stationary action principle of classical mechanics.It replaces the classical notion of a single, unique classical trajectory for a system with a sum, or functional integral, over an infinity of quantum-mechanically possible trajectories to compute a quantum amplitude.
In Cartesian coordinates, the Lagrangian of a non-relativistic classical particle in an electromagnetic field is (in SI Units): = ˙ + ˙ where q is the electric charge of the particle, φ is the electric scalar potential, and the A i, i = 1, 2, 3, are the components of the magnetic vector potential that may all explicitly depend on and .