This is the question that physicists all around the world are trying to answer. When they come up with one I'll be sure to get back to you. This area is primarily the work of string theorists.
AnswerI think the previous answerer misread the question. If the question had been "When and where do general relativity and quantum mechanics overlap?" then this answer would have been fine. But there is no conflict between Newton's Laws and quantum mechanics. More precisely: If you take quantum mechanics and let Planck's constant tend to 0, you get Newtonian physics. (Or special relativity - but if you then let the speed of light tend to infinity you get Newtonian physics.) In other words, classical physics is a special case of quantum physics. If you avoid doing experiments with very small or very fast things, Newton's laws will hold.Classical mechanics is the alternative to quantum mechanics. It is a branch of physics that describes the motion of macroscopic objects using principles established by Isaac Newton. Unlike quantum mechanics, classical mechanics assumes that objects have definite positions and velocities at all times.
Quantum mechanics is the branch of physics that combines quantum theory with wave motion of atomic particles. It provides a mathematical framework for understanding the behavior of particles at the atomic and subatomic levels.
Classical physics is often considered the opposite of quantum mechanics. Classical physics describes the behavior of macroscopic objects using classical laws such as Newton's laws of motion, while quantum mechanics describes the behavior of particles on a microscopic scale with wave-particle duality and uncertainty principles.
In short, it is called de Broglie wave (or matter wave). Which relates frequency and wavelength to momentum and energy. This relation then leads to group velocity which is an important part of quantum mechanics.
In fact, the laws of motion do apply; you just have to be careful which set of laws you use. Newtonian laws of motion do not apply to light or to the movement of atoms, but relativity theory applies to light, and quantum mechanics applies to movements at the atomic and sub-atomic levels.
The study of motion in the microworld is called quantum mechanics, which deals with the behavior of matter and energy at a very small scale. In quantum mechanics, particles like electrons and photons exhibit behaviors that are different from classical mechanics, such as wave-particle duality and probabilistic nature.
Classical mechanics is the alternative to quantum mechanics. It is a branch of physics that describes the motion of macroscopic objects using principles established by Isaac Newton. Unlike quantum mechanics, classical mechanics assumes that objects have definite positions and velocities at all times.
Quantum mechanics is the branch of physics that combines quantum theory with wave motion of atomic particles. It provides a mathematical framework for understanding the behavior of particles at the atomic and subatomic levels.
Zitterbewegung is a rapid trembling motion exhibited by particles in quantum mechanics. It is significant because it highlights the inherent uncertainty and dual nature of particles as both waves and particles. This motion affects the behavior of particles by causing fluctuations in their position and momentum, leading to unpredictable movements and contributing to the probabilistic nature of quantum mechanics.
The main difference among both is that Classical Mechanics are all rigorously observed under the Laws of Motion of Newton, also known as the Three Laws of Mechanics; whereas the Quantum Mechanics do not observe these Laws in a fullfilling manner. For instance, the Three Laws of Motion stipulate that an object that switches behavior from rest to motion undergoes a transitional stage known as acceleration; it has been observed that when a quantum or photon is emmited by an electron, it doesn't undergo said transitional stage, but it is rather thrusted all the way into light speed. The Classical Mechanics work for objects that are primarily made of matter, while the Quantum Mechanics work for objects that can hardly be called objects, for they are primarily made of energy, or carry few or no matter at all.
Classical physics is often considered the opposite of quantum mechanics. Classical physics describes the behavior of macroscopic objects using classical laws such as Newton's laws of motion, while quantum mechanics describes the behavior of particles on a microscopic scale with wave-particle duality and uncertainty principles.
- classical mechanics - motion, velocity, acceleration, inertia, forces, momentum, etc. - electricity, magnetism, and light (electromagnetism) - wave mechanics - thermodynamics - quantum mechanics - quantum electrodynamics - quantum chromodynamics - superconductivity - general and special relativity - string theory and supersymmetry - cosmology (the list goes on and on)
In quantum mechanics, the expectation value of momentum being zero signifies that there is no preferred direction of motion for a particle. This implies that the particle is equally likely to be found moving in any direction, reflecting the inherent uncertainty and probabilistic nature of quantum systems.
The angular momentum of an electron in quantum mechanics is significant because it helps determine the energy levels and behavior of the electron within an atom. It is a fundamental property that influences the electron's motion and interactions with other particles.
The study of the relationships between forces and the motion of objects is called mechanics. It involves analyzing how forces influence the velocity, acceleration, and position of objects. Mechanics can be further divided into classical mechanics, which deals with macroscopic objects, and quantum mechanics, which deals with microscopic particles.
Newton's laws of motion revolutionized our understanding of physics and continue to be fundamental in the study of mechanics.
Mechanics is a branch of physics that deals with the study of the motion of objects and the forces acting on them. It is divided into two main parts: classical mechanics, which describes motion at everyday sizes and speeds, and quantum mechanics, which studies motion at atomic and subatomic scales. Mechanics forms the foundation for many other branches of physics, such as thermodynamics, electromagnetism, and fluid dynamics.