- "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."
The study of the behavior of matter and energy at the quantum level.
Classical Mechanics: The study of motion of macroscopic objects according to Newton's laws.
State Function: It is a mathematical function that represents the state of a quantum system.
Wave Functions: A mathematical model used to describe the behavior of the quantum particles.
Uncertainty Principle: It states that it's impossible to measure some physical properties (like position and momentum) simultaneously with perfect accuracy.
Schrödinger Equation: The equation that describes the time evolution of a quantum system.
Superposition: It is a quantum mechanical property in which a particle can exist in multiple states simultaneously.
Entanglement: It is a quantum mechanical phenomenon where two particles can be described by a single wave function.
Quantum Numbers: Numbers that describe the state of a quantum system.
Pauli Exclusion Principle: No two identical fermions can occupy the same quantum state simultaneously.
Hydrogen Atom: Quantum mechanical calculations of the electronic properties of the simplest atom.
Angular Momentum: A measure of a particle's rotation.
Magnetic Moment: A measure of the strength and direction of the magnetic field produced by a quantum particle.
Atoms and Molecules: Application of quantum mechanics that describes the behavior of atoms and molecules.
Scattering Theory: The study of how quantum particles interact with each other.
Relativity Theory: The theory of the relationships between space, time, and matter.
Quantum Field Theory: A theoretical framework that combines quantum mechanics and special relativity.
Quantum Computing: Computation using quantum-mechanical phenomena, such as superposition and entanglement.
Quantum Information Theory: The study of how information can be processed and transmitted using quantum mechanics.
Quantum Optics: The study of the interaction between light and matter at the quantum level.
Quantum Thermodynamics: The study of the thermodynamic properties of quantum systems.
Quantum Gravity: The scientific field that seeks to describe gravity within the laws of quantum physics.
Non-relativistic quantum mechanics: It deals with the behavior of particles at the quantum level in a non-relativistic (without considering the effects of special relativity) framework.
Quantum field theory: It describes the behavior of quantum mechanical fields, where particles are treated as excited states of the field.
Quantum statistical mechanics: It focuses on describing the behavior of large collections of quantum particles in thermal equilibrium using statistical methods.
Quantum information theory: It is a branch of quantum mechanics that deals with the processing and communication of quantum information.
Quantum optics: It is the study of the interaction between light and matter at the quantum level, with applications in areas such as laser technology and quantum computing.
Quantum computing: It is the study of how to use quantum systems to perform computations that are beyond the capabilities of classical computers.
Quantum entanglement: It is a phenomenon where two or more particles can be correlated in a way that their states are dependent on each other, even if they are separated by a large distance.
Quantum gravity: It aims to describe the behavior of gravity at the quantum level, where the effects of general relativity become significant.
- "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."