Wave-particle duality is how electrons can behave like either waves or particles in different situations. This is one of the fundamental things about quantum that we do not yet understand.
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.
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.
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.
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.
Answer:It is not clear . Some books advocates Max plank, some Neils Bohr , some Erwin Schrodinger and some even say Heisenberg . Definitely Max Planck. No Doubt !Answer:Max Planck was the first to use ideas of quantum theory when he solved the "ultraviolet catastrophe" in December of 1900. At the time, however, neither he nor the vast majority of the scientific community noticed the implications of his "quantization of energy."In 1905, Albert Einstein published a paper on the photoelectric effect in which he described energy transfer via light in the form of photons. He was one of the first physicists to acknowledge that particles could only obtain certain discrete energies.Many textbooks, however, will credit Max Planck as the "father of quantum theory."
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.
because it is old
Answer: The Heisenberg uncertainty principle is a fundamental part of quantum mechanics so chance is prerequisite to everything.
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.
No. To explain the photoelectric effect, you have to think of light as a particle, not a wave. The fact that light can be both a wave and a particle is part of quantum mechanics, not classical physics.
It isn't "a" founder of modern physics; modern physics has a long history, with contributions by many people. The Theory of Relativity is mainly attributed to Albert Einstein (although he built upon discoveries made before him), while in Quantum Mechanics it is definitely impossible to assign one specific founder. For more details, read about the history of 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.
Perhaps the most noted implication of Quantum theory is that it suggests the world is not deterministic. Specifically, if we have all the knowledge that it is possible to have about the world (or any part of the world) we are still not able to exactly predict the future. This is a law of nature and not a consequence of the inaccuracy of our ability to measure things. Quantum theory gives us the ability to predict the future in probabilistic fashion. We can assign probabilities to all futures or all outcomes of measurements in the future, but we can not say specifically which result will occur. Theories prior to 1900 were exact in their predictions, e.g. mechanics and electromagnetic theory and thermodynamics. But, these theories did not look closely enough at the microscopic world and were found in need of improvement (correction) with the advent of quantum mechanics.
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.
Life - Part 2 2007 Mechanics of Aging was released on: USA: 22 October 2009
A mobius coil doesn't generate electricity by itself. If power is applied to function the mobius coil, positive and negative fields applied in opposing direction, then they cancel each others field out supposedly producing a scalar wave. A scalar wave is part of the Quantum theory of particle-wave duality.
There are approximately 5.6% employed as Automotive Service Technicians and Mechanics that are under-employed or are only part-time. Scholarships there are approximately5.6% employed as automotive services technicians and mechanics that are under employed or only part time