In a previous note it was argued that ln(W(x)) where W(x) is the wavefunction acted as a kind of partition function which reproduced the classical conservation of energy (KE + PE = E) although for average values. In this note, we wish to show how these ideas lead to W(x)*W(x) representing the spatial probability density (for a bound state) using conditional probabilities. We are not aware of this approach having already been presented in the literature
In a previous note (1), we argued that in quantum bound states, the classical potential V(x) is real...
We present conditional probability (CP) density functional theory (DFT) as a formally exact theory. ...
In a number of previous notes, we have argued that the bound state quantum problem may be considered...
In a previous note, it was argued one could construct an expression for P(p/x), the probability for ...
Quantum mechanical spatial probability densities may be obtained by solving the time independent Sch...
In quantum mechanics, one focuses on densities such as the probability density W*(x)W(x), where W(x)...
If one defines a conditional probability P(p/x) = a(p) exp(ipx) / W(x) where W(x)=wavefunction then ...
In (1), we noted that a Gaussian wavefunction may be a solution to the time-independent Schrodinger ...
In classical mechanics, a spatial density of dx/v(x) can be given even though one particle is involv...
In the literature, Shannon’s entropy with spatial density as probability i.e. density(x) ln(density(...
Bound state quantum mechanics is formulated as a statistical theory in which averages seem to be giv...
In the literature, one often finds a quantum expression for Shannon’s entropy of the form: - (W*W) l...
In a previous note (1), we argue one may formulate the bound state Schrodinger equation using condit...
In a previous note (1), we investigated a process (as described in (2)) for converting a hydrodynami...
In bound state quantum mechanics, one has statistical observables (based on P(x) where P is probabil...
In a previous note (1), we argued that in quantum bound states, the classical potential V(x) is real...
We present conditional probability (CP) density functional theory (DFT) as a formally exact theory. ...
In a number of previous notes, we have argued that the bound state quantum problem may be considered...
In a previous note, it was argued one could construct an expression for P(p/x), the probability for ...
Quantum mechanical spatial probability densities may be obtained by solving the time independent Sch...
In quantum mechanics, one focuses on densities such as the probability density W*(x)W(x), where W(x)...
If one defines a conditional probability P(p/x) = a(p) exp(ipx) / W(x) where W(x)=wavefunction then ...
In (1), we noted that a Gaussian wavefunction may be a solution to the time-independent Schrodinger ...
In classical mechanics, a spatial density of dx/v(x) can be given even though one particle is involv...
In the literature, Shannon’s entropy with spatial density as probability i.e. density(x) ln(density(...
Bound state quantum mechanics is formulated as a statistical theory in which averages seem to be giv...
In the literature, one often finds a quantum expression for Shannon’s entropy of the form: - (W*W) l...
In a previous note (1), we argue one may formulate the bound state Schrodinger equation using condit...
In a previous note (1), we investigated a process (as described in (2)) for converting a hydrodynami...
In bound state quantum mechanics, one has statistical observables (based on P(x) where P is probabil...
In a previous note (1), we argued that in quantum bound states, the classical potential V(x) is real...
We present conditional probability (CP) density functional theory (DFT) as a formally exact theory. ...
In a number of previous notes, we have argued that the bound state quantum problem may be considered...
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