stability of atoms
line spectrum of hydrogen atom
compton effect
photoelectric effect
black body radiation
No, the Schrödinger equation cannot be derived using classical physics principles. It was developed in quantum mechanics to describe the behavior of quantum particles, such as electrons, and is based on the probabilistic nature of quantum mechanics.
In some text books on physical chemistry it is stated that if an electron followed the classical laws of mechanics it would continue to emit energy in the form of electromagnetic radiation until it fell to the nucleus. It is not sensible to consider the spectrum of emitted electromagnetic radiation because its wavelength is a function of the Schrodinger equation under the influence of the Hamilton operator. So my only have desecrate values. A classical picture of the atom would not obey the Schrodinger equation so there is no way of predicting the way it would emit energy.
Erwin Schrödinger formulated the famous Schrödinger equation in 1926, which is a fundamental equation in quantum mechanics describing how the quantum state of a physical system changes in time. In 1935, he proposed the thought experiment known as "Schrödinger's cat" to illustrate the concept of superposition in quantum mechanics.
Being a physicist I do not know too much about the applications. But in general the time dependent Schrodinger Equation tells us how a quantum state evolves in time. I believe this might be applicable to things like flash/thumb drives, and computers in general.
We don't know what the quantities 'e', 'm', and 'v' designate in the equation.It could be a formula to calculate double the kinetic energy of a body of mass 'm' moving with velocity 'v'.
Some of the classical mechanics for a slinky include The Klein Gordon Equation, Phase Velocity, Group Velocity, and The Sine-Gordon or Pendulum Equation. There is also Electrostatics, and The Discrete Fourier Transform.
The Liouville equation is important in classical mechanics because it describes how the distribution of particles in a system evolves over time. It helps us understand the behavior of complex systems and predict their future states.
No, the Schrödinger equation cannot be derived using classical physics principles. It was developed in quantum mechanics to describe the behavior of quantum particles, such as electrons, and is based on the probabilistic nature of quantum mechanics.
In some text books on physical chemistry it is stated that if an electron followed the classical laws of mechanics it would continue to emit energy in the form of electromagnetic radiation until it fell to the nucleus. It is not sensible to consider the spectrum of emitted electromagnetic radiation because its wavelength is a function of the Schrodinger equation under the influence of the Hamilton operator. So my only have desecrate values. A classical picture of the atom would not obey the Schrodinger equation so there is no way of predicting the way it would emit energy.
introduction of lagrange equation
In classical mechanics, momentum (pl. momenta; SI unit kg·m/s, or, equivalently, N·s) is the product of the mass and velocity of an object (p = mv).
The de Broglie equation can be derived by combining the principles of wave-particle duality and the equations of classical mechanics. It relates the wavelength of a particle to its momentum, and is given by h/p, where is the wavelength, h is Planck's constant, and p is the momentum of the particle.
It is also called wave mechanics because quantum mechanics governed by Schrodinger's wave equation in it's wave-formulation.
Area*Velocity=Constant
The Pauli equation is a key equation in quantum mechanics that describes the behavior of fermions, which are particles like electrons that follow the Pauli exclusion principle. This equation helps us understand the behavior of particles with half-integer spin, and is crucial for predicting the properties of atoms and molecules.
The rate of change of position in Classical mechanics is defined as velocity. The quantum mechanical analog would be more closely related to the momentum operator of the wave equation, which is (in one dimension) p=(h/i*2*pi)*(d/dx); where p is the momentum, h is Planck's constant, i is the square root of negative one, pi is 3.1415...., and d/dx is the partial derivative with respect to space.
The GRE Physics Equation Sheet includes formulas and equations related to mechanics, electromagnetism, thermodynamics, quantum mechanics, atomic and nuclear physics, optics, and special relativity.