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The biggest limitation by far is that an exact solution is possible for only a small number of initial conditions. For example, one can figure out the solution for permitted states of one electron around a nucleus. However, there is no exact solution for even two electrons around a nucleus.
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What are the differences in the use of the time-dependent Schrodinger equation and the time-independent Schrodinger equation?
The time-independent Schr
What is the importance of boundary conditions in solving the schrodinger's wave equation?
Boundary conditions allow to determine constants involved in the equation. They are basically the same thing as initial conditions in Newton's mechanics (actually they are initial conditions).
Who designed a mathematical equation for the model of the atom?
Erwin Schrodinger
The solutions to the Schrodinger wave equation are?
The solutions to the Schrödinger wave equation describe the quantum states of a particle or system, encapsulating all possible information about its behavior and properties. These solutions, known as wave functions, provide probabilities for finding a particle in various positions and states. They are key to understanding phenomena in quantum mechanics, such as superposition and entanglement. The square of the wave function's magnitude gives the probability density of locating the particle in space.
Who derive the schrodinger wave equation of hydrogen atom?
The Schrödinger wave equation for the hydrogen atom was derived by Austrian physicist Erwin Schrödinger in 1926 as part of his formulation of quantum mechanics. By applying his wave mechanics to the hydrogen atom, he was able to describe the behavior of electrons in terms of wave functions, which allowed for the calculation of energy levels and other properties of the atom. The derivation incorporated the Coulomb potential due to the attraction between the negatively charged electron and the positively charged nucleus. This work laid the foundation for modern quantum chemistry and atomic physics.
How did heisenberg's principle influence schrodinger to develop his wave equation?
Heisenberg's uncertainty principle, which states the limitations in simultaneously measuring a particle's position and momentum accurately, inspired Schrodinger to find a description of particles in terms of waves. This led Schrodinger to develop his wave equation, which describes the behavior of quantum particles in terms of wave functions.
When was the electron wave equation written?
This is the Schrodinger equation from 1925-1926.
Shapes of electron orbital are determined by what equations?
Schrodinger wave equation
Why quantum mechanics is someone called wave mechanics?
It is also called wave mechanics because quantum mechanics governed by Schrodinger's wave equation in it's wave-formulation.
How Heisenberg's principle influenced Schrodinger to develop his wave equation?
Heisenberg's Uncertainty Principle introduced the concept of inherent uncertainty in measuring both the position and momentum of a particle simultaneously. This influenced Schrodinger to develop a wave equation that could describe the behavior of particles in terms of probability waves rather than definite trajectories, allowing for a more complete description of quantum systems. Schrodinger's wave equation provided a way to predict the behavior of quantum particles without violating the Uncertainty Principle.
Who created the wave?
Schrodinger
How did Erwin Schrodinger achieve quantum mechanics?
Erwin Schrodinger developed a wave equation, known as the Schrodinger equation, that describes how the quantum state of a physical system changes over time. This equation is a fundamental tool in quantum mechanics, providing a mathematical framework for predicting the behavior of particles at the quantum level. Schrodinger's work was crucial in the development of quantum mechanics as a coherent and successful theory.
The atom of Erwin Schrodinger and Louis de B oglie?
Erwin Schrodinger is known for his Schrodinger equation, which describes how the wave function of a physical system changes over time. Louis de Broglie proposed the concept of wave-particle duality, suggesting that particles like electrons can exhibit wave-like properties. Both of these contributions were instrumental in the development of quantum mechanics.
What are the differences in the use of the time-dependent Schrodinger equation and the time-independent Schrodinger equation?
The time-independent Schr
Can we apply schrodinger's wave equation to a particle having velocity comparable with the velocity of the light?
The equation, as originally written by Erwin Schrodinger, does not use relativity. More complicated versions of his original equation, which do incorporate relativity, have been developed.For more information, please see the related link below.
Which scientist was able to determine the electronic structure of the atom using an equation known as the quantum model that included the wave nature of the electron?
Erwin Schrodinger
Who has the greatest contribution in quantum mechanics among Heisenberg and Dirac and Schrodinger?
Heisenberg, Dirac and Schrodinger all made large combinations. Schrodinger is famous for his wave mechanics, Heisenberg for his matrix notation. Dirac realised that the theories of Heisenberg and Schrodinger were essentially the same. He also created the Dirac equation, an important step in the creation of a relativistic version of Quantum Mechanics.
