Quantum Mechanics
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Physics Celebrity #24 (Neil's Bohr)
Niels Bohr (Danish) 1885 – 1962) made foundational contributions to understanding atomic structure and quantum mechanics, for which he received Neils Bohr (1885 - 1962) the Nobel Prize in Physics in 1922. Bohr was also a philosopher and a promoter of scientific research. He developed the Bohr model of the atom with the atomic nucleus at the centre and electrons in orbit around it, which he compared to the planets orbiting the Sun. He helped develop quantum mechanics, in which electrons move from one energy level to another in discrete steps, instead of continuously. He founded the Institute of Theoretical Physics at the University of Copenhagen, now known as the Niels Bohr Institute, which opened in 1920. Bohr mentored and collaborated with physicists including Hans Kramers, Oskar Klein, George de Hevesy and Werner Heisenberg. He predicted the existence of a new zirconium-like element, which was named hafnium, after Copenhagen, when it was discovered. Later, the element bohrium was named after him. He conceived the principle of complementarity: that items could be separately analysed as having contradictory properties, like behaving as a wave or a stream of particles. The notion of complementarity dominated his thinking on both science and philosophy. During the 1930s, Bohr gave refugees from Nazism temporary jobs at the Institute, provided them with financial support, arranged for them to be awarded fellowships from the Rockefeller Foundation, and ultimately found them places at various institutions around the world. After Denmark was occupied by the Germans, he had a dramatic meeting in Copenhagen with Heisenberg, who had become the head of the German nuclear energy project. -
Niels Bohr 31 Wolfgang Pauli 41 Paul Dirac 47 Roger Penrose 58 Stephen Hawking 68 Schrodinger
Philosophy Reference, Philosophy Digest, Physics Reference and Physics Digest all contain information obtained from free cites online and other Saltafide resources. PHYSICS REFERENCE NOTE highlighted words in blue can be clicked to link to relevant information in WIKIPEDIA. Schrodinger 2 Heisenberg 6 EINSTEIN 15 MAX PLANCK 25 Niels Bohr 31 Wolfgang Pauli 41 Paul Dirac 47 Roger Penrose 58 Stephen Hawking 68 Schrodinger Schrodinger is probably the most important scientist for our Scientific Spiritualism discussed in The Blink of An I and in Saltafide..Schrödinger coined the term Verschränkung (entanglement). More importantly Schrodinger discovered the universal connection of consciousness. It is important to note that John A. Ciampa discovered Schrodinger’s connected consciousness long after writing about it on his own. At the close of his book, What Is Life? (discussed below) Schrodinger reasons that consciousness is only a manifestation of a unitary consciousness pervading the universe. He mentions tat tvam asi, stating "you can throw yourself flat on the ground, stretched out upon Mother Earth, with the certain conviction that you are one with her and she with you”.[25]. Schrödinger concludes this chapter and the book with philosophical speculations on determinism, free will, and the mystery of human consciousness. He attempts to "see whether we cannot draw the correct non-contradictory conclusion from the following two premises: (1) My body functions as a pure mechanism according to Laws of Nature; and (2) Yet I know, by incontrovertible direct experience, that I am directing its motions, of which I foresee the effects, that may be fateful and all-important, in which case I feel and take full responsibility for them. -
Case Study 6 Quantisation and Quanta After 1905
Case Study 6 Quantisation and Quanta after 1905 1 Case Study 6 Quantisation and Quanta after 1905 In Case Study 6,we took the story of quantisation and quanta up to the publication of Einstein’s great paper of 1905. To recapitulate the story so far: • Planck derived the Planck formula for black-body radiation in 1900 using dodgy arguments which no-one could understand. Planck had quantised the oscillators and regarded this as no more than a “formal procedure”. • There were no papers on quanta until Einstein’s paper of 1905. • Einstein quantised the radiation field rather than the oscillators which are in equilibrium with the radiation. • Among the predictions of the theory was an explanation for the photoelectric effect. 2 Einstein’s Derivation of Planck’s Law (1) In 1906, Einstein realised that he could reformulate Planck’s ideas using Boltzmann’s statistical mechanics properly. The system of oscillators can take only discrete energy levels with energies, 0, ǫ, 2ǫ, 3ǫ, ... Boltzmann’s expression for the probability that an oscillator is in a state with energy E = nǫ in thermal equilibrium at temperature T where n is an integer is p(E) ∝ e−E/kT . Suppose there are N0 oscillators in the ground state, E = 0. Then, the number in the −ǫ/kT −2ǫ/kT n = 1 level is N0 e , the number in the n = 2 level is N0 e , and so on. Therefore, the average energy of the oscillator is found in the usual way: N · 0+ ǫ · N e−ǫ/kT + 2ǫ · N e−2ǫ/kT + ..