Electrons are fermions and thus cannot occupy the same quantum states. They obey Fermi-Dirac statistics, and will occupy energy levels accordingly. This is different to the classica state where all electrons are pretty much equal (equal energies etc) and are not taken to be distrubuted amongst multiple states and energies. See Fermi Gas Model for a treatment of quantum free electron theory.
The correspondence principle, articulated by Bohr in 1923, states that the behavior of quantum systems must reflect classical physics in the limit of large quantum numbers. This principle reconciles the differences between classical and quantum mechanics by showing that classical physics is a limiting case of quantum mechanics. It asserts that the predictions of quantum mechanics converge to classical physics predictions as the quantum numbers become large.
Nothing. Quantum is a branch of physics
In some text books on physical chemistry it is stated that if an electron followed the classical laws of mechanics it would continue to emit energy in the form of electromagnetic radiation until it fell to the nucleus. It is not sensible to consider the spectrum of emitted electromagnetic radiation because its wavelength is a function of the Schrodinger equation under the influence of the Hamilton operator. So my only have desecrate values. A classical picture of the atom would not obey the Schrodinger equation so there is no way of predicting the way it would emit energy.
I am checking the Wikipedia article on "quantum number", and don't find a quantum number "i" for the electron. If you mean "l", it seems that "l" can be between 0 and n-1. So, for n = 3, l can be between 0 and 2. If this is what you mean, I don't see any reason that would forbid this particular combination.
The classical theory of solids is based on the assumption that atoms are fixed in a lattice structure and do not move. However, quantum mechanics shows that atoms in solids have wave-like properties and do exhibit movement. This discrepancy between classical theory and quantum mechanics makes classical theory inadequate for explaining the behavior of solids at the atomic level.
what is the difference between classical
In quantum mechanics, the classical turning point is a critical point where a particle's behavior transitions from classical to quantum. It marks the boundary between regions where classical physics and quantum mechanics are most applicable. This point is significant because it helps us understand how particles behave differently at the quantum level compared to the classical level.
A quantum leap is the smallest possible change that an electron can make in an atom. It involves a discrete jump in energy levels when an electron transitions from one orbit to another. The size of a quantum leap is determined by the difference in energy levels between the initial and final states of the electron.
The amount of energy needed to move an electron from one energy level to another is known as the energy difference between the two levels. This energy difference is typically quantified in electron volts (eV) or joules.
In classical physics, the energy gained or lost by an atom is continuous and can have any value. In contrast, in the quantum model of an atom, the energy gained or lost is quantized, meaning it can only take on certain discrete values determined by the energy levels of the atom. This discreteness of energy levels in the quantum model helps explain phenomena such as atomic spectra and electron transitions.
The correspondence principle, articulated by Bohr in 1923, states that the behavior of quantum systems must reflect classical physics in the limit of large quantum numbers. This principle reconciles the differences between classical and quantum mechanics by showing that classical physics is a limiting case of quantum mechanics. It asserts that the predictions of quantum mechanics converge to classical physics predictions as the quantum numbers become large.
In quantum mechanics, angular nodes are regions where the probability of finding an electron is zero along a specific axis, while radial nodes are regions where the probability of finding an electron is zero along the distance from the nucleus.
Nothing. Quantum is a branch of physics
Newtonian, or classical physics applies to physical, every day things, while quantum physics is a type of theoretical physics that does not apply to any physical things.
Quantum computing uses quantum bits (qubits) to perform calculations simultaneously, allowing for faster processing and solving complex problems. Classical computing uses bits to process information sequentially. Quantum computing can handle multiple possibilities at once, while classical computing processes one possibility at a time.
When an electron in an atom returns from a higher energy state to a lower energy state, it emits a photon of light. This process is known as electron transition or de-excitation. The energy of the emitted photon is equal to the energy difference between the two electron energy states.
In some text books on physical chemistry it is stated that if an electron followed the classical laws of mechanics it would continue to emit energy in the form of electromagnetic radiation until it fell to the nucleus. It is not sensible to consider the spectrum of emitted electromagnetic radiation because its wavelength is a function of the Schrodinger equation under the influence of the Hamilton operator. So my only have desecrate values. A classical picture of the atom would not obey the Schrodinger equation so there is no way of predicting the way it would emit energy.