Abstract
The Wave function of Schrodinger Equation is expressed in terms of time dependent energy eigen function and spatial dependent wave function in the energy space, which gives spatial energy probability. This equation is utilized to find quantum momentum dependent on temperature. This in turn is used to find quantum complex resistance. This expression shows that the superconducting resistance vanishes for temperatures less than a certain critical value. This result conforms to superconductor conventional theory and empirical relations. The application of external magnetic field destroys superconductivity when its strength exceeds a certain critical value. The expression of the relationship between the critical magnetic field and the critical temperature is typical to the conventional one. This is the first time to obtain the conventional relationship for the superconductor’s resistance and critical magnetic field in one model in the energy space.
Highlights
The history of atomic physics starts and dates from the Plank quantum hypothesis. According to this hypothesis electromagnetic waves behave some times as particles or discrete quanta having energy proportional to the frequency
Later on Debrogglie proposed that the wave-particle duality characterizes constituents of atoms, atomic and subatomic world in general [2]. This duality represents the cornerstone of the so called quantum mechanics, which describes the behavior of the atomic world [3]
In the conventional ordinary one the energy eigen function is spatial dependent as shown by Equation (8), and the energy wave function is time dependent, it gives the probability that the energy is Ek at a certain time
Summary
The history of atomic physics starts and dates from the Plank quantum hypothesis According to this hypothesis electromagnetic waves behave some times as particles or discrete quanta having energy proportional to the frequency. New alternatives are needed to widen the scope of view for the superconductor’s phenomena
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