Paper
... According to Pythagoras, the basis of the world is number. But how the numbers appear? Really some energy or action (the fire, Pyr, in terms of Heraclitus) (which could be quantified, i.e. numberized itself) has to be applied to introduce numbers into real world. I.e. a number is needed to introduce ...
... According to Pythagoras, the basis of the world is number. But how the numbers appear? Really some energy or action (the fire, Pyr, in terms of Heraclitus) (which could be quantified, i.e. numberized itself) has to be applied to introduce numbers into real world. I.e. a number is needed to introduce ...
The magnehydrogen in hadronic chemistry
... formulating a new mathematics (hereon referred to as Santilli’s Mathematics) that streamlined various branches of physics including quantum mechanics. To remove these fallacies Santilli has formulated new mathematics and hadronic mechanics. Hadronic mechanics is characterized by novel iso-, geno- an ...
... formulating a new mathematics (hereon referred to as Santilli’s Mathematics) that streamlined various branches of physics including quantum mechanics. To remove these fallacies Santilli has formulated new mathematics and hadronic mechanics. Hadronic mechanics is characterized by novel iso-, geno- an ...
Spin and Quantum Measurement
... The state of a quantum mechanical system is described mathematically by a normalized ket ψ that contains all the information we can know about the system. We have chosen the particular simplified schematic representation of SternGerlach experiments shown in Fig. 1.2 because it is the same representa ...
... The state of a quantum mechanical system is described mathematically by a normalized ket ψ that contains all the information we can know about the system. We have chosen the particular simplified schematic representation of SternGerlach experiments shown in Fig. 1.2 because it is the same representa ...
Definition 1: Annihilation Operator Coherent State
... of photons represented by above definitions) or laser, and coherently distributed ultra-cold bosonic atoms. The first one is responsible for the revival and most of the developments of the mathematical formulation of the coherent states. In the case of electromagnetic radiation, the vector potential ...
... of photons represented by above definitions) or laser, and coherently distributed ultra-cold bosonic atoms. The first one is responsible for the revival and most of the developments of the mathematical formulation of the coherent states. In the case of electromagnetic radiation, the vector potential ...
ThesisPresentation
... According to Ehrenfest’s theorem, the expectation value of the energy should show the same behavior as its classical equivalent. We calculate the average energy as ...
... According to Ehrenfest’s theorem, the expectation value of the energy should show the same behavior as its classical equivalent. We calculate the average energy as ...
6 Product Operators
... In this section we will review a few key concepts before moving on to a description of the product operator formalism. In quantum mechanics, two mathematical objects – wavefunctions and operators – are of central importance. The wavefunction describes the system of interest (such as a spin or an ele ...
... In this section we will review a few key concepts before moving on to a description of the product operator formalism. In quantum mechanics, two mathematical objects – wavefunctions and operators – are of central importance. The wavefunction describes the system of interest (such as a spin or an ele ...
kiselev.pdf
... authors demonstrated the power and simplification of the corresponding Matsubara diagram technique. The semi-fermionic representation (we discuss the meaning of this definition in the course of our paper) used by Popov and Fedotov is neither fermionic, nor bosonic, but reflects the fundamental Pauli na ...
... authors demonstrated the power and simplification of the corresponding Matsubara diagram technique. The semi-fermionic representation (we discuss the meaning of this definition in the course of our paper) used by Popov and Fedotov is neither fermionic, nor bosonic, but reflects the fundamental Pauli na ...
ppt 2.1MB - Weizmann Institute of Science
... Time evolution of the bunch length The bunch length increases because: • Not all the particles have exactly the same velocities (v/v5x10-4). • Not all the particles travel exactly the same path length per oscillation. • The Coulomb repulsion force pushes the particles apart. ...
... Time evolution of the bunch length The bunch length increases because: • Not all the particles have exactly the same velocities (v/v5x10-4). • Not all the particles travel exactly the same path length per oscillation. • The Coulomb repulsion force pushes the particles apart. ...
