0
What else can I help you with?
What is the mathematics of combining quantum theory with wave motion of atomic particles?
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.
When did werner heisenberg discover the quantum theory?
Werner Heisenberg developed the quantum theory in 1925 as part of his work on matrix mechanics. His groundbreaking research contributed to the foundation of quantum mechanics and earned him the Nobel Prize in Physics in 1932.
What is Quantum theory angle?
The math in quantum mechanics uses complex numbers; these can be considered to have a real part and an imaginary part ("Cartesian coordinates"); however, they can also be described, alternatively, by a magnitude and an angle. This latter form ("polar coordinates") is especially appropriate for doing multiplications.
Why you use some classical mechanics in quantum mechanics?
That has been a topic of much debate since th1900's. There has been no fully successful tying of the two branches of physics yet but, many proposed theories have made great leaps forward to the answer. For example quantum gravity theory and the string theory, the latter being the more current and relevant.There are two areas in which the transition from quantum mechanics to classical mechanics is rather obvious: Statistical thermodynamics and wave-particle duality.Answer2:Classical and Quantum Mechanics merge in Quaternion Mechanics.Quaternion Mechanics consists of Quaternion quantities like energyW = -vh/r + cP where -vh/r is the scalar enrgy and cP=cmV is the vector energy.Classical and Quantum Mechanics need Quaternion quantities. In general the potential energy -vh/r is a scalar aka a Boson and vector energy cP is a vector aka a Fermion. Bosons/Scalars have integer spin and Fermions/Vectors have 1/2 integer spin.For the most part like Newtonian Physics use only scalars -mGM/r a scalar and no vectors. Likewise, Quantum mechanics use mostly Fermions or Vectors and few scalars. The speed of light is a scalar as is Planck's Constant h.Quaternion Mechanics merges Classical and Quantum Physics.The Laws of Quaternion Mechanics are:0 = XB = [d/dr, DEL] [B,B] = [dB/dr -DEL.B, dB/dr + DEL B ]0 = X2B = [(d2/dr2 - DEL2), 2d/dr DEL] [-vh/r,cP]This Quaternion Wave gives thescalar/Boson wave -(d2/dr2 - DEL2)vh/r - 2d/dr DEL.cP =0and thevector/Fermion particle (d2/dr2 - DEL2)cP + 2d/dr DEL -vh/r =0In Nature, Quaternions rule and Quaternions combine Bosons and Fermions.A Quaternion can be a Boson or a Fermion or Both as inX2W =[ -(d2/dr2 - DEL2)vh/r - 2d/dr DEL.cP,(d2/dr2 - DEL2)cP + 2d/dr( DEL -vh/r + DELxcP) ]Quaternions consist of Scalars and Vectors , Bosons and Fermions.
Who was the scientist responsible for the wave mechanics or quantum mechanics model of the atom was?
Erwin Schrödinger is the scientist responsible for formulating the wave mechanics model of the atom as part of quantum mechanics. His work led to the development of mathematical equations that describe the behavior of electrons in atoms as wave functions.
What is the mathematics of combining quantum theory with wave motion of atomic particles?
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.
When did werner heisenberg discover the quantum theory?
Werner Heisenberg developed the quantum theory in 1925 as part of his work on matrix mechanics. His groundbreaking research contributed to the foundation of quantum mechanics and earned him the Nobel Prize in Physics in 1932.
Is it true or false that electrons in atoms can be described in part as having wavelengths and showing wave-like interference properties?
True. Electrons in atoms can exhibit wave-like behavior as described by quantum mechanics. This means they can be described by a wave function that gives information about their probability distribution in space and can exhibit interference patterns similar to waves. This duality between particle and wave behavior is a fundamental aspect of quantum mechanics.
Why is classical mechanics such an important part of engineering?
because it is old
How does rolling dice apply to the real world?
Answer: The Heisenberg uncertainty principle is a fundamental part of quantum mechanics so chance is prerequisite to everything.
What is Quantum theory angle?
The math in quantum mechanics uses complex numbers; these can be considered to have a real part and an imaginary part ("Cartesian coordinates"); however, they can also be described, alternatively, by a magnitude and an angle. This latter form ("polar coordinates") is especially appropriate for doing multiplications.
Why you use some classical mechanics in quantum mechanics?
That has been a topic of much debate since th1900's. There has been no fully successful tying of the two branches of physics yet but, many proposed theories have made great leaps forward to the answer. For example quantum gravity theory and the string theory, the latter being the more current and relevant.There are two areas in which the transition from quantum mechanics to classical mechanics is rather obvious: Statistical thermodynamics and wave-particle duality.Answer2:Classical and Quantum Mechanics merge in Quaternion Mechanics.Quaternion Mechanics consists of Quaternion quantities like energyW = -vh/r + cP where -vh/r is the scalar enrgy and cP=cmV is the vector energy.Classical and Quantum Mechanics need Quaternion quantities. In general the potential energy -vh/r is a scalar aka a Boson and vector energy cP is a vector aka a Fermion. Bosons/Scalars have integer spin and Fermions/Vectors have 1/2 integer spin.For the most part like Newtonian Physics use only scalars -mGM/r a scalar and no vectors. Likewise, Quantum mechanics use mostly Fermions or Vectors and few scalars. The speed of light is a scalar as is Planck's Constant h.Quaternion Mechanics merges Classical and Quantum Physics.The Laws of Quaternion Mechanics are:0 = XB = [d/dr, DEL] [B,B] = [dB/dr -DEL.B, dB/dr + DEL B ]0 = X2B = [(d2/dr2 - DEL2), 2d/dr DEL] [-vh/r,cP]This Quaternion Wave gives thescalar/Boson wave -(d2/dr2 - DEL2)vh/r - 2d/dr DEL.cP =0and thevector/Fermion particle (d2/dr2 - DEL2)cP + 2d/dr DEL -vh/r =0In Nature, Quaternions rule and Quaternions combine Bosons and Fermions.A Quaternion can be a Boson or a Fermion or Both as inX2W =[ -(d2/dr2 - DEL2)vh/r - 2d/dr DEL.cP,(d2/dr2 - DEL2)cP + 2d/dr( DEL -vh/r + DELxcP) ]Quaternions consist of Scalars and Vectors , Bosons and Fermions.
Who was the scientist responsible for the wave mechanics or quantum mechanics model of the atom was?
Erwin Schrödinger is the scientist responsible for formulating the wave mechanics model of the atom as part of quantum mechanics. His work led to the development of mathematical equations that describe the behavior of electrons in atoms as wave functions.
What is quantum electronics?
Quantum electronics is a branch of physics and engineering that focuses on the behavior of electrons in materials at the quantum level. It involves the study and manipulation of electronic properties in nanoscale devices and materials to develop technologies such as quantum computing, sensors, and high-speed electronics. This field combines quantum mechanics and electronics to explore the possibilities of harnessing quantum phenomena for practical applications.
How does the uncertainty principle, a fundamental part of quantum mechanics, impact our understanding of the behavior of particles at the subatomic level?
The uncertainty principle in quantum mechanics states that we cannot precisely know both the position and momentum of a particle at the same time. This impacts our understanding of subatomic particles by introducing inherent uncertainty into their behavior, challenging traditional notions of determinism and requiring a probabilistic approach to describe their properties and interactions.
Who proposed the wave model of an atom?
The wave model of an atom was proposed by Erwin Schrödinger in 1926 as part of the development of quantum mechanics. Schrödinger's wave equation described the behavior of electrons in an atom as standing waves.
What technology proves whose patent paper published that Heisenberg Uncertainty principle in Physics is wrong?
The Heisenberg Uncertainty principle is part of the foundations of Quantum Mechanics and is still considered to be valid today. It means there is a fundamental fuzziness or uncertainty about the world at the quantum level. Even in principle we cannot know to high accuracy say both the position and the momentum of a small particle like the electron.
