David Tong > Quotes

“Rather than thinking of them as quantum probabilities for a single particle”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“The discreteness in quantities like momentum and energy is one of the characteristic features of quantum mechanics. However”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“We learn that the Gaussian wavefunction (2.64) that we guessed earlier is actually the lowest energy state of the system”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“the idea of parity”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“This is our first sign of the quantum in quantum mechanics. This word refers to the fact that certain quantities”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“The Schrödinger equation is (2.4)”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“It’s difficult to overstate the importance of the harmonic oscillator in quantum mechanics. It is”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“Solutions to the Schrödinger equation that behave as (2.85) are called bound states because they are necessarily trapped somewhere in the potential.”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“Gaussian wavepacket. Clearly it describes a state that is fairly well localised in space. But”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“the energies are (2.73) All energies are proportional to”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics

“The quantum novelty is that the wavefunction itself is not restricted only to the well: it leaks out into the surrounding region”
― David Tong, Quantum Mechanics: Volume 3: Lectures on Theoretical Physics