- "Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles."
A theory that describes the behavior of matter and energy at the atomic and subatomic levels.
Wave-particle duality: The concept that matter has both wave-like and particle-like properties.
Schrödinger equation: An equation that describes the behavior of quantum particles and predicts their wave functions.
Quantum operators: Operators that determine the properties of quantum systems, such as position, momentum, and energy.
Quantum states: The possible states of a quantum particle, described by their wave function.
Uncertainty principle: The principle that the position and momentum of a particle cannot be measured with complete accuracy.
Hydrogen atom: The simplest atom, characterized by one proton and one electron.
Atomic orbitals: The patterns of electron density around an atom, which determine its chemical properties.
Spectroscopy: The study of how light interacts with matter and how it can be used to study atomic properties.
Quantum mechanics of solids: The study of the electronic and magnetic properties of materials.
Quantum computation: The study of how quantum physics can be used to perform calculations faster than classical computers.
Bose-Einstein condensates: A state of matter in which a group of particles all have the same quantum state.
Quantum entanglement: A phenomenon in which two quantum particles become correlated in such a way that the state of one particle is dependent on the state of the other.
Wave-Particle Duality: This theory suggests that all particles can exhibit both wave-like and particle-like behavior.
Atomic Spectroscopy: This is a branch of quantum mechanics that deals with the study of the atomic emission and absorption of light.
Quantum Tunneling: This is a quantum mechanical phenomenon in which a particle passes through a potential barrier even if it does not have enough energy to overcome the barrier.
Quantum Entanglement: This refers to the correlation between two or more particles that cannot be explained by classical physics.
Quantum Field Theory: This is a theoretical framework in which particles are viewed as excitations of underlying fields.
Quantum Mechanics of Many-Particle Systems: This is a branch of quantum mechanics that deals with the behavior of a large number of particles.
Quantum Phase Transitions: This is a transition that occurs when the ground state of a quantum mechanical system changes from one phase to another.
Quantum Computing and Information: This is a field of quantum mechanics that deals with the development of quantum computers and quantum information processing.
- "It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science."
- "Quantum mechanics differs from classical physics in that energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values (quantization); objects have characteristics of both particles and waves (wave-particle duality); and there are limits to how accurately the value of a physical quantity can be predicted prior to its measurement, given a complete set of initial conditions (the uncertainty principle)."
- "Quantum mechanics arose gradually from theories to explain observations that could not be reconciled with classical physics, such as Max Planck's solution in 1900 to the black-body radiation problem, and the correspondence between energy and frequency in Albert Einstein's 1905 paper, which explained the photoelectric effect."
- "These early attempts to understand microscopic phenomena, now known as the 'old quantum theory,' led to the full development of quantum mechanics in the mid-1920s by Niels Bohr, Erwin Schrödinger, Werner Heisenberg, Max Born, Paul Dirac, and others."
- "In one of them, a mathematical entity called the wave function provides information, in the form of probability amplitudes, about what measurements of a particle's energy, momentum, and other physical properties may yield."
- "Objects have characteristics of both particles and waves (wave-particle duality)."
- "Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale."
- "Max Planck's solution in 1900 to the black-body radiation problem."
- "Albert Einstein's 1905 paper, which explained the photoelectric effect."
- "There are limits to how accurately the value of a physical quantity can be predicted prior to its measurement, given a complete set of initial conditions (the uncertainty principle)."
- "Quantum mechanics is the foundation of all quantum physics."
- "Energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values (quantization)."
- "These early attempts to understand microscopic phenomena, now known as the 'old quantum theory.'"
- "Classical physics describes many aspects of nature at an ordinary (macroscopic) scale."
- "The modern theory is formulated in various specially developed mathematical formalisms."
- "Quantum mechanics provides a description of the physical properties of nature at the scale of atoms and subatomic particles."
- "Quantum mechanics is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science."
- "The wave function provides information, in the form of probability amplitudes, about what measurements of a particle's energy, momentum, and other physical properties may yield."
- "The old quantum theory led to the full development of quantum mechanics in the mid-1920s by Niels Bohr, Erwin Schrödinger, Werner Heisenberg, Max Born, Paul Dirac, and others."