Newton-Equivalent Hamiltonians for the Harmonic Oscillator
... admits an infinite-dimensional solution space: Assuming F(x) solves (3.5) and f (x) is a meromorphic function with period i hβ, then also f (x)F(x) solves (3.5). This state of affairs is the main reason that analytic difference operators cannot be readily studied within the well-established Hilbert ...
... admits an infinite-dimensional solution space: Assuming F(x) solves (3.5) and f (x) is a meromorphic function with period i hβ, then also f (x)F(x) solves (3.5). This state of affairs is the main reason that analytic difference operators cannot be readily studied within the well-established Hilbert ...
1 Classical mechanics vs. quantum mechanics - Assets
... can, therefore, be viewed as a law of Nature just as Newton’s equation – ‘F equals m a ’ – for the macroscopic world. The problem is now reduced to a purely mathematical one. Once the initial condition C(x, t = 0) and the action on the system are given, the solution of the Schrödinger equation give ...
... can, therefore, be viewed as a law of Nature just as Newton’s equation – ‘F equals m a ’ – for the macroscopic world. The problem is now reduced to a purely mathematical one. Once the initial condition C(x, t = 0) and the action on the system are given, the solution of the Schrödinger equation give ...
MS-word - Table of Contents
... Why had this not been found before? Because no one had looked! Unfortunately, the Democritus particle, 1600 B.C., agreed with human emotional experience (but not logic) so most people were satisfied with it. Engrained habits are hard to displace. Nature has made the true structure of 'particles' lik ...
... Why had this not been found before? Because no one had looked! Unfortunately, the Democritus particle, 1600 B.C., agreed with human emotional experience (but not logic) so most people were satisfied with it. Engrained habits are hard to displace. Nature has made the true structure of 'particles' lik ...
The Blind Men and the Quantum
... • The simple answer is “No!”. It is the formalism of quantum mechanics that makes the testable predictions. • As long as an interpretation is consistent with the formalism, it will make the same predictions as any other interpretation, and no experimental tests are possible. • However, there is a ne ...
... • The simple answer is “No!”. It is the formalism of quantum mechanics that makes the testable predictions. • As long as an interpretation is consistent with the formalism, it will make the same predictions as any other interpretation, and no experimental tests are possible. • However, there is a ne ...
shp_05 - Columbia University
... explained if light of frequency n comes in quantized energy packets, with energies of hn. A. Einstein (1905): photoelectric effect can only be theoretically understood if light is corpuscular. N. Bohr (1913): discrete energy spectrum of the hydrogen atom can be explained if the electron’s angula ...
... explained if light of frequency n comes in quantized energy packets, with energies of hn. A. Einstein (1905): photoelectric effect can only be theoretically understood if light is corpuscular. N. Bohr (1913): discrete energy spectrum of the hydrogen atom can be explained if the electron’s angula ...