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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
Solution of maxwell equation in the form of wave equation?
Yes it is
Why Hamilton's equations are called canonical equations?
The word canonical means "by a general law, rule, principle or criterion". When the Hamiltonian operator is applied to the (average momentum) wave function it gives quantized values. In this sense the Hamilton equations gives the Schrodinger equation discreet values by a general law.
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.
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.
Who created the wave?
Schrodinger
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?
Schrodinger's wave equation does not accurately describe the behavior of particles with velocities comparable to the speed of light. In this case, relativistic quantum mechanics, specifically the Dirac equation, is needed to properly describe the behavior of particles moving at relativistic speeds. The Dirac equation incorporates special relativity and provides a more accurate description of such high-speed particles.
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?
It is difficult to say who has the greatest contribution as all three physicists, Heisenberg, Dirac, and Schrodinger, made significant contributions to the development of quantum mechanics. Heisenberg is known for his matrix mechanics, Dirac for his work on quantum electrodynamics, and Schrodinger for his wave equation. Each of their contributions played a crucial role in shaping our understanding of quantum mechanics.
